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64113372 = 223219671399
BaseRepresentation
bin1111010010010…
…0101011011100
311110122022000100
43310210223130
5112403111442
610210101100
71405645311
oct364445334
9143568010
1064113372
1133210364
121957a790
131038a30b
14872cd08
15596684c
hex3d24adc

64113372 has 72 divisors (see below), whose sum is σ = 173264000. Its totient is φ = 19929888.

The previous prime is 64113349. The next prime is 64113373. The reversal of 64113372 is 27331146.

64113372 is a `hidden beast` number, since 641 + 13 + 3 + 7 + 2 = 666.

It is a super-2 number, since 2×641133722 = 8221048938420768, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64113373) 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, 45129 + ... + 46527.

Almost surely, 264113372 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 64113372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86632000).

64113372 is an abundant number, since it is smaller than the sum of its proper divisors (109150628).

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

64113372 is a wasteful number, since it uses less digits than its factorization.

64113372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1495 (or 1490 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 64113372 is about 8007.0826147855. The cubic root of 64113372 is about 400.2360523375.

The spelling of 64113372 in words is "sixty-four million, one hundred thirteen thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 67 76 114 134 171 201 228 268 342 402 603 684 804 1206 1273 1399 2412 2546 2798 3819 4197 5092 5596 7638 8394 11457 12591 15276 16788 22914 25182 26581 45828 50364 53162 79743 93733 106324 159486 187466 239229 281199 318972 374932 478458 562398 843597 956916 1124796 1687194 1780927 3374388 3561854 5342781 7123708 10685562 16028343 21371124 32056686 64113372