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252420446616 = 233131942581047
BaseRepresentation
bin1110101100010101101…
…1100101100110011000
3220010112121121021200020
43223011123211212120
513113424113242431
6311543234110440
724144133252302
oct3530533454630
9803477537606
10252420446616
1198061841658
1240b0711b420
131aa59686320
14c308074972
15687557d696
hex3ac56e5998

252420446616 has 64 divisors (see below), whose sum is σ = 715361606400. Its totient is φ = 73580047488.

The previous prime is 252420446587. The next prime is 252420446617. The reversal of 252420446616 is 616644024252.

252420446616 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252420446617) 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, 21284596 + ... + 21296451.

It is an arithmetic number, because the mean of its divisors is an integer number (11177525100).

Almost surely, 2252420446616 is an apocalyptic number.

252420446616 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

252420446616 is an abundant number, since it is smaller than the sum of its proper divisors (462941159784).

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

252420446616 is a wasteful number, since it uses less digits than its factorization.

252420446616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42581088 (or 42581084 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 42.

The spelling of 252420446616 in words is "two hundred fifty-two billion, four hundred twenty million, four hundred forty-six thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 19 24 26 38 39 52 57 76 78 104 114 152 156 228 247 312 456 494 741 988 1482 1976 2964 5928 42581047 85162094 127743141 170324188 255486282 340648376 510972564 553553611 809039893 1021945128 1107107222 1618079786 1660660833 2214214444 2427119679 3236159572 3321321666 4428428888 4854239358 6472319144 6642643332 9708478716 10517518609 13285286664 19416957432 21035037218 31552555827 42070074436 63105111654 84140148872 126210223308 252420446616