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830362883364 = 2232717193828871
BaseRepresentation
bin11000001010101010111…
…11000001010100100100
32221101022102021000202100
430011111133001110210
5102101040344231424
61433244034212100
7113664111023610
oct14052537012444
92841272230670
10830362883364
112a0178222433
12114b1aa24030
13603c2588a51
142c292a72340
15168edbebdc9
hexc1557c1524

830362883364 has 72 divisors (see below), whose sum is σ = 2539933538688. Its totient is φ = 223290858240.

The previous prime is 830362883359. The next prime is 830362883417. The reversal of 830362883364 is 463388263038.

It is a happy number.

830362883364 is a `hidden beast` number, since 8 + 3 + 0 + 3 + 628 + 8 + 3 + 3 + 6 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 830362883364.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96910152 + ... + 96918719.

It is an arithmetic number, because the mean of its divisors is an integer number (35276854704).

Almost surely, 2830362883364 is an apocalyptic number.

830362883364 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

830362883364 is an abundant number, since it is smaller than the sum of its proper divisors (1709570655324).

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

830362883364 is a wasteful number, since it uses less digits than its factorization.

830362883364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193828905 (or 193828900 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 54.

The spelling of 830362883364 in words is "eight hundred thirty billion, three hundred sixty-two million, eight hundred eighty-three thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 51 63 68 84 102 119 126 153 204 238 252 306 357 476 612 714 1071 1428 2142 4284 193828871 387657742 581486613 775315484 1162973226 1356802097 1744459839 2325946452 2713604194 3295090807 3488919678 4070406291 5427208388 6590181614 6977839356 8140812582 9885272421 12211218873 13180363228 16281625164 19770544842 23065635649 24422437746 29655817263 39541089684 46131271298 48844875492 59311634526 69196906947 92262542596 118623269052 138393813894 207590720841 276787627788 415181441682 830362883364