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285392014964 = 22725946915261
BaseRepresentation
bin1000010011100101011…
…00001000111001110100
31000021122110102111111022
410021302230020321310
514133440323434324
6335035101200312
726422165046600
oct4116254107164
91007573374438
10285392014964
111000413969a1
1247389260098
1320bb2589794
14db55004500
157654ed205e
hex4272b08e74

285392014964 has 72 divisors (see below), whose sum is σ = 591061937760. Its totient is φ = 120189316800.

The previous prime is 285392014933. The next prime is 285392014969. The reversal of 285392014964 is 469410293582.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (285392014969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54244094 + ... + 54249354.

It is an arithmetic number, because the mean of its divisors is an integer number (8209193580).

Almost surely, 2285392014964 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 285392014964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295530968880).

285392014964 is an abundant number, since it is smaller than the sum of its proper divisors (305669922796).

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

285392014964 is a wasteful number, since it uses less digits than its factorization.

285392014964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10029 (or 10020 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 53.

The spelling of 285392014964 in words is "two hundred eighty-five billion, three hundred ninety-two million, fourteen thousand, nine hundred sixty-four".

Divisors: 1 2 4 7 14 28 49 59 98 118 196 236 413 826 1652 2891 4691 5261 5782 9382 10522 11564 18764 21044 32837 36827 65674 73654 131348 147308 229859 257789 276769 310399 459718 515578 553538 620798 919436 1031156 1107076 1241596 1937383 2172793 3874766 4345586 7749532 8691172 13561681 15209551 24679351 27123362 30419102 49358702 54246724 60838204 98717404 172755457 345510914 691021828 1209288199 1456081709 2418576398 2912163418 4837152796 5824326836 10192571963 20385143926 40770287852 71348003741 142696007482 285392014964