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149382005153616 = 24323407304483427
BaseRepresentation
bin100001111101110010110101…
…010110100101111101010000
3201120220210001210010211100100
4201331302311112211331100
5124034433321304403431
61245413051253452400
743315331226216354
oct4175626526457520
9646823053124310
10149382005153616
114366360958a2a4
1214907297341100
13654787ca93b11
1428c61b02cb464
151240b7e8c54e6
hex87dcb55a5f50

149382005153616 has 60 divisors (see below), whose sum is σ = 418184847617472. Its totient is φ = 49779386349888.

The previous prime is 149382005153603. The next prime is 149382005153617. The reversal of 149382005153616 is 616351500283941.

149382005153616 is a `hidden beast` number, since 1 + 4 + 9 + 3 + 8 + 2 + 0 + 0 + 5 + 15 + 3 + 616 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149382005153617) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 151751106 + ... + 152732321.

Almost surely, 2149382005153616 is an apocalyptic number.

149382005153616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

149382005153616 is an abundant number, since it is smaller than the sum of its proper divisors (268802842463856).

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

149382005153616 is a wasteful number, since it uses less digits than its factorization.

149382005153616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304486848 (or 304486839 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 149382005153616 in words is "one hundred forty-nine trillion, three hundred eighty-two billion, five million, one hundred fifty-three thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 3407 6814 10221 13628 20442 27256 30663 40884 54512 61326 81768 122652 163536 245304 490608 304483427 608966854 913450281 1217933708 1826900562 2435867416 2740350843 3653801124 4871734832 5480701686 7307602248 10961403372 14615204496 21922806744 43845613488 1037375035789 2074750071578 3112125107367 4149500143156 6224250214734 8299000286312 9336375322101 12448500429468 16598000572624 18672750644202 24897000858936 37345501288404 49794001717872 74691002576808 149382005153616