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252033415064 = 232329151312799
BaseRepresentation
bin1110101010111001011…
…1001011011110011000
3220002112122100001012022
43222232113023132120
513112131023240224
6311441010434012
724131423452364
oct3525627133630
9802478301168
10252033415064
1197983324072
1240a19592908
131a9c7435782
14c2ac8c82a4
1568515cc65e
hex3aae5cb798

252033415064 has 64 divisors (see below), whose sum is σ = 513492480000. Its totient is φ = 115610140800.

The previous prime is 252033415061. The next prime is 252033415091. The reversal of 252033415064 is 460514330252.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252033415061) 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, 649337 + ... + 962135.

It is an arithmetic number, because the mean of its divisors is an integer number (8023320000).

Almost surely, 2252033415064 is an apocalyptic number.

It is an amenable number.

252033415064 is an abundant number, since it is smaller than the sum of its proper divisors (261459064936).

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

252033415064 is a wasteful number, since it uses less digits than its factorization.

252033415064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313008 (or 313004 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 35.

The spelling of 252033415064 in words is "two hundred fifty-two billion, thirty-three million, four hundred fifteen thousand, sixty-four".

Divisors: 1 2 4 8 23 29 46 58 92 116 151 184 232 302 604 667 1208 1334 2668 3473 4379 5336 6946 8758 13892 17516 27784 35032 100717 201434 312799 402868 625598 805736 1251196 2502392 7194377 9071171 14388754 18142342 28777508 36284684 47232649 57555016 72569368 94465298 188930596 208636933 377861192 417273866 834547732 1086350927 1369746821 1669095464 2172701854 2739493642 4345403708 5478987284 8690807416 10957974568 31504176883 63008353766 126016707532 252033415064