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64531116 = 223213178111
BaseRepresentation
bin1111011000101…
…0101010101100
311111102112001100
43312022222230
5113004443431
610223043100
71412335236
oct366125254
9144375040
1064531116
1133476201
1219740490
13104a54c0
1487db256
1559ea4e6
hex3d8aaac

64531116 has 72 divisors (see below), whose sum is σ = 186024384. Its totient is φ = 18685440.

The previous prime is 64531109. The next prime is 64531151. The reversal of 64531116 is 61113546.

64531116 is a `hidden beast` number, since 645 + 3 + 1 + 1 + 16 = 666.

It is a super-4 number, since 4×645311164 (a number of 32 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 64531116.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3901 + ... + 12011.

It is an arithmetic number, because the mean of its divisors is an integer number (2583672).

Almost surely, 264531116 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 64531116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93012192).

64531116 is an abundant number, since it is smaller than the sum of its proper divisors (121493268).

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

64531116 is a wasteful number, since it uses less digits than its factorization.

64531116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8151 (or 8146 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 64531116 is about 8033.1261660701. The cubic root of 64531116 is about 401.1034448910.

It can be divided in two parts, 6453 and 1116, that added together give a square (7569 = 872).

The spelling of 64531116 in words is "sixty-four million, five hundred thirty-one thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 13 17 18 26 34 36 39 51 52 68 78 102 117 153 156 204 221 234 306 442 468 612 663 884 1326 1989 2652 3978 7956 8111 16222 24333 32444 48666 72999 97332 105443 137887 145998 210886 275774 291996 316329 413661 421772 551548 632658 827322 948987 1240983 1265316 1654644 1792531 1897974 2481966 3585062 3795948 4963932 5377593 7170124 10755186 16132779 21510372 32265558 64531116