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136096168432 = 24767157331349
BaseRepresentation
bin111111010111111110…
…1101011100111110000
3111000021202221200120211
41332233331223213300
54212211104342212
6142304405113504
712555406226110
oct1765775534760
9430252850524
10136096168432
1152799814764
12224623b8894
13caabb720a3
146830d8d040
1538181459a7
hex1faff6b9f0

136096168432 has 160 divisors (see below), whose sum is σ = 309616294400. Its totient is φ = 56754846720.

The previous prime is 136096168363. The next prime is 136096168433. The reversal of 136096168432 is 234861690631.

It is a happy number.

136096168432 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136096168433) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 389960194 + ... + 389960542.

It is an arithmetic number, because the mean of its divisors is an integer number (1935101840).

Almost surely, 2136096168432 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 136096168432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154808147200).

136096168432 is an abundant number, since it is smaller than the sum of its proper divisors (173520125968).

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

136096168432 is a wasteful number, since it uses less digits than its factorization.

136096168432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 919 (or 913 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 49.

The spelling of 136096168432 in words is "one hundred thirty-six billion, ninety-six million, one hundred sixty-eight thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 56 67 112 134 157 268 314 331 349 469 536 628 662 698 938 1072 1099 1256 1324 1396 1876 2198 2317 2443 2512 2648 2792 3752 4396 4634 4886 5296 5584 7504 8792 9268 9772 10519 17584 18536 19544 21038 22177 23383 37072 39088 42076 44354 46766 51967 54793 73633 84152 88708 93532 103934 109586 115519 147266 155239 163681 168304 177416 187064 207868 219172 231038 294532 310478 327362 354832 363769 374128 383551 415736 438344 462076 589064 620956 654724 727538 767102 808633 831472 876688 924152 1178128 1241912 1309448 1455076 1534204 1617266 1848304 2483824 2618896 2910152 3068408 3234532 3481789 3671131 5820304 6136816 6469064 6963578 7342262 7739773 12938128 13927156 14684524 15479546 18136483 24372523 25697917 27854312 29369048 30959092 36272966 48745046 51395834 54178411 55708624 58738096 61918184 72545932 97490092 102791668 108356822 123836368 126955381 145091864 194980184 205583336 216713644 253910762 290183728 389960368 411166672 433427288 507821524 866854576 1015643048 1215144361 2031286096 2430288722 4860577444 8506010527 9721154888 17012021054 19442309776 34024042108 68048084216 136096168432