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900940522048 = 2675093950939
BaseRepresentation
bin11010001110001000011…
…11010110001001000000
310012010111002112112221021
431013010033112021000
5104230111233201143
61525515242035224
7122043101040220
oct15070417261100
93163432475837
10900940522048
113180a5489a46
121267371a8b14
1366c5c59cb28
143186a290080
151867edaeced
hexd1c43d6240

900940522048 has 56 divisors (see below), whose sum is σ = 2047219070400. Its totient is φ = 385358688768.

The previous prime is 900940522033. The next prime is 900940522073. The reversal of 900940522048 is 840225049009.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-3 number, since 3×9009405220483 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 900940521995 and 900940522013.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1747438 + ... + 2203501.

It is an arithmetic number, because the mean of its divisors is an integer number (36557483400).

Almost surely, 2900940522048 is an apocalyptic number.

It is an amenable number.

900940522048 is an abundant number, since it is smaller than the sum of its proper divisors (1146278548352).

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

900940522048 is a wasteful number, since it uses less digits than its factorization.

900940522048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3951467 (or 3951457 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 43.

The spelling of 900940522048 in words is "nine hundred billion, nine hundred forty million, five hundred twenty-two thousand, forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 509 1018 2036 3563 4072 7126 8144 14252 16288 28504 32576 57008 114016 228032 3950939 7901878 15803756 27656573 31607512 55313146 63215024 110626292 126430048 221252584 252860096 442505168 885010336 1770020672 2011027951 4022055902 8044111804 14077195657 16088223608 28154391314 32176447216 56308782628 64352894432 112617565256 128705788864 225235130512 450470261024 900940522048