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116018064 = 24321783571
BaseRepresentation
bin1101110101001…
…00101110010000
322002022022212100
412322210232100
5214200034224
615302400400
72606065041
oct672445620
9262268770
10116018064
115a5420a8
1232a30100
131b061656
14115a08c8
15a2baac9
hex6ea4b90

116018064 has 120 divisors (see below), whose sum is σ = 348540192. Its totient is φ = 35896320.

The previous prime is 116018011. The next prime is 116018101. The reversal of 116018064 is 460810611.

It is a super-3 number, since 3×1160180643 (a number of 25 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 202899 + ... + 203469.

Almost surely, 2116018064 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 116018064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174270096).

116018064 is an abundant number, since it is smaller than the sum of its proper divisors (232522128).

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

116018064 is a wasteful number, since it uses less digits than its factorization.

116018064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 116018064 is about 10771.1681817712. The cubic root of 116018064 is about 487.7252103420.

Adding to 116018064 its reverse (460810611), we get a palindrome (576828675).

The spelling of 116018064 in words is "one hundred sixteen million, eighteen thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 83 102 136 144 153 166 204 249 272 306 332 408 498 571 612 664 747 816 996 1142 1224 1328 1411 1494 1713 1992 2284 2448 2822 2988 3426 3984 4233 4568 5139 5644 5976 6852 8466 9136 9707 10278 11288 11952 12699 13704 16932 19414 20556 22576 25398 27408 29121 33864 38828 41112 47393 50796 58242 67728 77656 82224 87363 94786 101592 116484 142179 155312 174726 189572 203184 232968 284358 349452 379144 426537 465936 568716 698904 758288 805681 853074 1137432 1397808 1611362 1706148 2274864 2417043 3222724 3412296 4834086 6445448 6824592 7251129 9668172 12890896 14502258 19336344 29004516 38672688 58009032 116018064