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13837014216 = 233421353417
BaseRepresentation
bin11001110001100000…
…00001010011001000
31022201022210011010000
430320300001103020
5211314233423331
610205011123000
7666615452214
oct147060012310
938638704100
1013837014216
1159606a7643
122821ba3460
1313c691439c
149539ab944
1555eb8b0e6
hex338c014c8

13837014216 has 40 divisors (see below), whose sum is σ = 38756453670. Its totient is φ = 4612337856.

The previous prime is 13837014211. The next prime is 13837014227. The reversal of 13837014216 is 61241073831.

It is a happy number.

13837014216 is a `hidden beast` number, since 138 + 370 + 142 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9437345316 + 4399668900 = 97146^2 + 66330^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (13837014211) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 10676061 + ... + 10677356.

Almost surely, 213837014216 is an apocalyptic number.

It is an amenable number.

13837014216 is an abundant number, since it is smaller than the sum of its proper divisors (24919439454).

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

13837014216 is a wasteful number, since it uses less digits than its factorization.

13837014216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21353435 (or 21353422 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 13837014216 in words is "thirteen billion, eight hundred thirty-seven million, fourteen thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 21353417 42706834 64060251 85413668 128120502 170827336 192180753 256241004 384361506 512482008 576542259 768723012 1153084518 1537446024 1729626777 2306169036 3459253554 4612338072 6918507108 13837014216