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137627500014 = 232113604311197
BaseRepresentation
bin1000000000101100111…
…1001111110111101110
3111011020111102101121100
42000023033033313232
54223330120000024
6143120350543530
712641352306504
oct2001317176756
9434214371540
10137627500014
1153405154854
122280b207ba6
13cc941b4454
1469384ca674
1538a77cd7c9
hex200b3cfdee

137627500014 has 48 divisors (see below), whose sum is σ = 300908445552. Its totient is φ = 45458267904.

The previous prime is 137627500009. The next prime is 137627500039. The reversal of 137627500014 is 410005726731.

It is a happy number.

137627500014 is a `hidden beast` number, since 1 + 376 + 275 + 0 + 0 + 0 + 14 = 666.

137627500014 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12285864 + ... + 12297060.

It is an arithmetic number, because the mean of its divisors is an integer number (6268925949).

Almost surely, 2137627500014 is an apocalyptic number.

137627500014 is an abundant number, since it is smaller than the sum of its proper divisors (163280945538).

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

137627500014 is a wasteful number, since it uses less digits than its factorization.

137627500014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17361 (or 17358 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The spelling of 137627500014 in words is "one hundred thirty-seven billion, six hundred twenty-seven million, five hundred thousand, fourteen".

Divisors: 1 2 3 6 9 18 113 226 339 678 1017 2034 6043 11197 12086 18129 22394 33591 36258 54387 67182 100773 108774 201546 682859 1265261 1365718 2048577 2530522 3795783 4097154 6145731 7591566 11387349 12291462 22774698 67663471 135326942 202990413 405980826 608971239 1217942478 7645972223 15291944446 22937916669 45875833338 68813750007 137627500014