Search a number
-
+
86708821761342 = 232116721433050009
BaseRepresentation
bin10011101101110001111000…
…100001010001110100111110
3102101000021121212120212210200
4103231301320201101310332
542331114131332330332
6504225252141544330
724156335302155054
oct2355617041216476
9371007555525720
1086708821761342
11256a0006432040
129884900b750a6
13394c7b7203c71
14175aa2d5441d4
15a0576719917c
hex4edc78851d3e

86708821761342 has 96 divisors (see below), whose sum is σ = 208104183106560. Its totient is φ = 25871143858560.

The previous prime is 86708821761337. The next prime is 86708821761361. The reversal of 86708821761342 is 24316712880768.

It is a happy number.

86708821761342 is a `hidden beast` number, since 8 + 6 + 7 + 0 + 8 + 8 + 2 + 1 + 7 + 613 + 4 + 2 = 666.

86708821761342 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 86708821761342.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26904034 + ... + 29954042.

It is an arithmetic number, because the mean of its divisors is an integer number (2167751907360).

Almost surely, 286708821761342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86708821761342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104052091553280).

86708821761342 is an abundant number, since it is smaller than the sum of its proper divisors (121395361345218).

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

86708821761342 is a wasteful number, since it uses less digits than its factorization.

86708821761342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3052238 (or 3052235 counting only the distinct ones).

The product of its (nonzero) digits is 43352064, while the sum is 63.

The spelling of 86708821761342 in words is "eighty-six trillion, seven hundred eight billion, eight hundred twenty-one million, seven hundred sixty-one thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 67 99 134 198 201 402 603 737 1206 1474 2143 2211 4286 4422 6429 6633 12858 13266 19287 23573 38574 47146 70719 141438 143581 212157 287162 424314 430743 861486 1292229 1579391 2584458 3050009 3158782 4738173 6100018 9150027 9476346 14214519 18300054 27450081 28429038 33550099 54900162 67100198 100650297 201300594 204350603 301950891 408701206 603901782 613051809 1226103618 1839155427 2247856633 3678310854 4495713266 6536169287 6743569899 13072338574 13487139798 19608507861 20230709697 39217015722 40461419394 58825523583 71897862157 117651047166 143795724314 215693586471 431387172942 437923342229 647080759413 875846684458 1294161518826 1313770026687 2627540053374 3941310080061 4817156764519 7882620160122 9634313529038 14451470293557 28902940587114 43354410880671 86708821761342