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13672417932 = 22322271673081
BaseRepresentation
bin11001011101111000…
…01000101010001100
31022021212001210110100
430232330020222030
5211000114333212
610140411211100
7662546430525
oct145674105214
938255053410
1013672417932
1158867a5a58
122796a46a90
13139b7a4834
14939ba384c
155504c6bdc
hex32ef08a8c

13672417932 has 36 divisors (see below), whose sum is σ = 34713105336. Its totient is φ = 4537392960.

The previous prime is 13672417921. The next prime is 13672417951. The reversal of 13672417932 is 23971427631.

13672417932 is a `hidden beast` number, since 136 + 72 + 417 + 9 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 828369 + ... + 844712.

It is an arithmetic number, because the mean of its divisors is an integer number (964252926).

Almost surely, 213672417932 is an apocalyptic number.

13672417932 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13672417932 is an abundant number, since it is smaller than the sum of its proper divisors (21040687404).

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

13672417932 is a wasteful number, since it uses less digits than its factorization.

13672417932 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1673318 (or 1673313 counting only the distinct ones).

The product of its digits is 381024, while the sum is 45.

The spelling of 13672417932 in words is "thirteen billion, six hundred seventy-two million, four hundred seventeen thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 227 454 681 908 1362 2043 2724 4086 8172 1673081 3346162 5019243 6692324 10038486 15057729 20076972 30115458 60230916 379789387 759578774 1139368161 1519157548 2278736322 3418104483 4557472644 6836208966 13672417932