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12335482944 = 263221415769
BaseRepresentation
bin10110111110100000…
…01000100001000000
31011211200101110102200
423133100020201000
5200230340423234
65400012113200
7614453606061
oct133720104100
934750343380
1012335482944
115260070a04
122483165800
131217807145
148503ca568
154c2e3cd99
hex2df408840

12335482944 has 42 divisors (see below), whose sum is σ = 35357436270. Its totient is φ = 4111827456.

The previous prime is 12335482937. The next prime is 12335482961. The reversal of 12335482944 is 44928453321.

12335482944 is a `hidden beast` number, since 1 + 2 + 3 + 354 + 8 + 294 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 12124652544 + 210830400 = 110112^2 + 14520^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 12335482944.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10707309 + ... + 10708460.

Almost surely, 212335482944 is an apocalyptic number.

It is an amenable number.

12335482944 is an abundant number, since it is smaller than the sum of its proper divisors (23021953326).

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

12335482944 is a wasteful number, since it uses less digits than its factorization.

12335482944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21415787 (or 21415774 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The spelling of 12335482944 in words is "twelve billion, three hundred thirty-five million, four hundred eighty-two thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 21415769 42831538 64247307 85663076 128494614 171326152 192741921 256989228 342652304 385483842 513978456 685304608 770967684 1027956912 1370609216 1541935368 2055913824 3083870736 4111827648 6167741472 12335482944