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316454530464 = 25327315795873
BaseRepresentation
bin1001001101011100010…
…10001110110110100000
31010020211021000210010100
410212232022032312200
520141044324433324
6401213250502400
731602016061352
oct4465612166640
91106737023110
10316454530464
11112231372606
12513b7b94a00
1323ac2b09977
14114605d10d2
15837203a4c9
hex49ae28eda0

316454530464 has 144 divisors (see below), whose sum is σ = 918065263752. Its totient is φ = 103376093184.

The previous prime is 316454530463. The next prime is 316454530493. The reversal of 316454530464 is 464035454613.

316454530464 is a `hidden beast` number, since 3 + 1 + 6 + 4 + 54 + 530 + 4 + 64 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 265748498064 + 50706032400 = 515508^2 + 225180^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (316454530463) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3252832 + ... + 3348704.

Almost surely, 2316454530464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 316454530464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459032631876).

316454530464 is an abundant number, since it is smaller than the sum of its proper divisors (601610733288).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

316454530464 is a wasteful number, since it uses less digits than its factorization.

316454530464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96119 (or 96108 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 45.

The spelling of 316454530464 in words is "three hundred sixteen billion, four hundred fifty-four million, five hundred thirty thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 73 96 144 146 157 219 288 292 314 438 471 584 628 657 876 942 1168 1256 1314 1413 1752 1884 2336 2512 2628 2826 3504 3768 5024 5256 5652 7008 7536 10512 11304 11461 15072 21024 22608 22922 34383 45216 45844 68766 91688 95873 103149 137532 183376 191746 206298 275064 287619 366752 383492 412596 550128 575238 766984 825192 862857 1100256 1150476 1533968 1650384 1725714 2300952 3067936 3300768 3451428 4601904 6902856 6998729 9203808 13805712 13997458 15052061 20996187 27611424 27994916 30104122 41992374 45156183 55989832 60208244 62988561 83984748 90312366 111979664 120416488 125977122 135468549 167969496 180624732 223959328 240832976 251954244 270937098 335938992 361249464 481665952 503908488 541874196 671877984 722498928 1007816976 1083748392 1098800453 1444997856 2015633952 2167496784 2197600906 3296401359 4334993568 4395201812 6592802718 8790403624 9889204077 13185605436 17580807248 19778408154 26371210872 35161614496 39556816308 52742421744 79113632616 105484843488 158227265232 316454530464