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99387627012 = 223279227153949
BaseRepresentation
bin101110010001111110…
…1101101011000000100
3100111112111100120102200
41130203331231120010
53112021213031022
6113354045434500
710115626614342
oct1344375553004
9314474316380
1099387627012
11391717a7223
121731886ba30
1394ab9a116b
144b4b9b6992
1528ba5c5bac
hex1723f6d604

99387627012 has 72 divisors (see below), whose sum is σ = 255532368000. Its totient is φ = 32565544128.

The previous prime is 99387626999. The next prime is 99387627013. The reversal of 99387627012 is 21072678399.

99387627012 is a `hidden beast` number, since 9 + 9 + 3 + 8 + 7 + 627 + 0 + 1 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 99387627012.

It is not an unprimeable number, because it can be changed into a prime (99387627013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 568614 + ... + 722562.

Almost surely, 299387627012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99387627012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127766184000).

99387627012 is an abundant number, since it is smaller than the sum of its proper divisors (156144740988).

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

99387627012 is a wasteful number, since it uses less digits than its factorization.

99387627012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154265 (or 154260 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 99387627012 in words is "ninety-nine billion, three hundred eighty-seven million, six hundred twenty-seven thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 79 158 227 237 316 454 474 681 711 908 948 1362 1422 2043 2724 2844 4086 8172 17933 35866 53799 71732 107598 153949 161397 215196 307898 322794 461847 615796 645588 923694 1385541 1847388 2771082 5542164 12161971 24323942 34946423 36485913 48647884 69892846 72971826 104839269 109457739 139785692 145943652 209678538 218915478 314517807 419357076 437830956 629035614 1258071228 2760767417 5521534834 8282302251 11043069668 16564604502 24846906753 33129209004 49693813506 99387627012