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1316561664 = 283111011543
BaseRepresentation
bin100111001111001…
…0010001100000000
310101202100021002010
41032132102030000
510144014433124
6334350252520
744424406125
oct11636221400
93352307063
101316561664
1161618a2a0
12308ab7140
1317c9b6392
14c6bd274c
157a8b2529
hex4e792300

1316561664 has 144 divisors (see below), whose sum is σ = 3862865664. Its totient is φ = 394752000.

The previous prime is 1316561657. The next prime is 1316561669. The reversal of 1316561664 is 4661656131.

It is a super-2 number, since 2×13165616642 = 3466669230228897792, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1316561669) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 852477 + ... + 854019.

It is an arithmetic number, because the mean of its divisors is an integer number (26825456).

Almost surely, 21316561664 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 1316561664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1931432832).

1316561664 is an abundant number, since it is smaller than the sum of its proper divisors (2546304000).

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

1316561664 is a wasteful number, since it uses less digits than its factorization.

1316561664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1674 (or 1660 counting only the distinct ones).

The product of its digits is 77760, while the sum is 39.

The square root of 1316561664 is about 36284.4548532839. The cubic root of 1316561664 is about 1096.0080273623.

The spelling of 1316561664 in words is "one billion, three hundred sixteen million, five hundred sixty-one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 101 128 132 176 192 202 256 264 303 352 384 404 528 606 704 768 808 1056 1111 1212 1408 1543 1616 2112 2222 2424 2816 3086 3232 3333 4224 4444 4629 4848 6172 6464 6666 8448 8888 9258 9696 12344 12928 13332 16973 17776 18516 19392 24688 25856 26664 33946 35552 37032 38784 49376 50919 53328 67892 71104 74064 77568 98752 101838 106656 135784 142208 148128 155843 197504 203676 213312 271568 284416 296256 311686 395008 407352 426624 467529 543136 592512 623372 814704 853248 935058 1086272 1185024 1246744 1629408 1714273 1870116 2172544 2493488 3258816 3428546 3740232 4345088 4986976 5142819 6517632 6857092 7480464 9973952 10285638 13035264 13714184 14960928 19947904 20571276 27428368 29921856 39895808 41142552 54856736 59843712 82285104 109713472 119687424 164570208 219426944 329140416 438853888 658280832 1316561664