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93699122136 = 23319438595563
BaseRepresentation
bin101011101000011100…
…1110010001111011000
322221212001102120201220
41113100321302033120
53013343433402021
6111013401212040
76524644253124
oct1272071621730
9287761376656
1093699122136
1136812791324
12161ab791020
138ab32c9449
14476c2d0584
152685ebccc6
hex15d0e723d8

93699122136 has 128 divisors (see below), whose sum is σ = 252650112000. Its totient is φ = 28862241408.

The previous prime is 93699122129. The next prime is 93699122191. The reversal of 93699122136 is 63122199639.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 16840491 + ... + 16846053.

It is an arithmetic number, because the mean of its divisors is an integer number (1973829000).

Almost surely, 293699122136 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 93699122136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126325056000).

93699122136 is an abundant number, since it is smaller than the sum of its proper divisors (158950989864).

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

93699122136 is a wasteful number, since it uses less digits than its factorization.

93699122136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6493 (or 6489 counting only the distinct ones).

The product of its digits is 944784, while the sum is 51.

The spelling of 93699122136 in words is "ninety-three billion, six hundred ninety-nine million, one hundred twenty-two thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 19 24 38 43 57 76 86 114 129 152 172 228 258 344 456 516 817 859 1032 1634 1718 2451 2577 3268 3436 4902 5154 5563 6536 6872 9804 10308 11126 16321 16689 19608 20616 22252 32642 33378 36937 44504 48963 65284 66756 73874 97926 105697 110811 130568 133512 147748 195852 211394 221622 239209 295496 317091 391704 422788 443244 478418 634182 701803 717627 845576 886488 956836 1268364 1403606 1435254 1913672 2105409 2536728 2807212 2870508 4210818 4544971 4778617 5614424 5741016 8421636 9089942 9557234 13634913 14335851 16843272 18179884 19114468 27269826 28671702 36359768 38228936 54539652 57343404 90793723 109079304 114686808 181587446 205480531 272381169 363174892 410961062 544762338 616441593 726349784 821922124 1089524676 1232883186 1643844248 2179049352 2465766372 3904130089 4931532744 7808260178 11712390267 15616520356 23424780534 31233040712 46849561068 93699122136