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64152018 = 232719127211
BaseRepresentation
bin1111010010111…
…0000111010010
311110201021000200
43310232013102
5112410331033
610211000030
71406166060
oct364560722
9143637020
1064152018
11332373a7
1219599016
13103a1a98
14873d030
155973013
hex3d2e1d2

64152018 has 96 divisors (see below), whose sum is σ = 169328640. Its totient is φ = 17146080.

The previous prime is 64152007. The next prime is 64152041. The reversal of 64152018 is 81025146.

64152018 is a `hidden beast` number, since 641 + 5 + 2 + 0 + 18 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 64151982 and 64152000.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 303933 + ... + 304143.

It is an arithmetic number, because the mean of its divisors is an integer number (1763840).

Almost surely, 264152018 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64152018, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84664320).

64152018 is an abundant number, since it is smaller than the sum of its proper divisors (105176622).

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

64152018 is a wasteful number, since it uses less digits than its factorization.

64152018 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 64152018 is about 8009.4954897297. The cubic root of 64152018 is about 400.3164537432.

The spelling of 64152018 in words is "sixty-four million, one hundred fifty-two thousand, eighteen".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 57 63 114 126 127 133 171 211 254 266 342 381 399 422 633 762 798 889 1143 1197 1266 1477 1778 1899 2286 2394 2413 2667 2954 3798 4009 4431 4826 5334 7239 8001 8018 8862 12027 13293 14478 16002 16891 21717 24054 26586 26797 28063 33782 36081 43434 50673 53594 56126 72162 80391 84189 101346 152019 160782 168378 187579 241173 252567 304038 375158 482346 505134 509143 562737 1018286 1125474 1527429 1688211 3054858 3376422 3564001 4582287 7128002 9164574 10692003 21384006 32076009 64152018