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136862708832 = 253533195303
BaseRepresentation
bin111111101110110100…
…1110011010001100000
3111002021012022222100000
41333131221303101200
54220243323140312
6142512430500000
712613404554553
oct1773551632140
9432235288300
10136862708832
1153052481923
1222637064600
13cba190b3a5
1468a4ac869a
1538605adadc
hex1fdda73460

136862708832 has 144 divisors (see below), whose sum is σ = 403816008960. Its totient is φ = 45598557312.

The previous prime is 136862708791. The next prime is 136862708861. The reversal of 136862708832 is 238807268631.

136862708832 is a `hidden beast` number, since 1 + 3 + 6 + 8 + 627 + 0 + 8 + 8 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 25805893 + ... + 25811195.

It is an arithmetic number, because the mean of its divisors is an integer number (2804277840).

Almost surely, 2136862708832 is an apocalyptic number.

136862708832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136862708832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201908004480).

136862708832 is an abundant number, since it is smaller than the sum of its proper divisors (266953300128).

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

136862708832 is an equidigital number, since it uses as much as digits as its factorization.

136862708832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8647 (or 8627 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 136862708832 in words is "one hundred thirty-six billion, eight hundred sixty-two million, seven hundred eight thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 864 972 1296 1944 2592 3319 3888 5303 6638 7776 9957 10606 13276 15909 19914 21212 26552 29871 31818 39828 42424 47727 53104 59742 63636 79656 84848 89613 95454 106208 119484 127272 143181 159312 169696 179226 190908 238968 254544 268839 286362 318624 358452 381816 429543 477936 509088 537678 572724 716904 763632 806517 859086 955872 1075356 1145448 1288629 1433808 1527264 1613034 1718172 2150712 2290896 2577258 2867616 3226068 3436344 4301424 4581792 5154516 6452136 6872688 8602848 10309032 12904272 13745376 17600657 20618064 25808544 35201314 41236128 52801971 70402628 105603942 140805256 158405913 211207884 281610512 316811826 422415768 475217739 563221024 633623652 844831536 950435478 1267247304 1425653217 1689663072 1900870956 2534494608 2851306434 3801741912 4276959651 5068989216 5702612868 7603483824 8553919302 11405225736 15206967648 17107838604 22810451472 34215677208 45620902944 68431354416 136862708832