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163106830832 = 241131197263577
BaseRepresentation
bin1001011111100111101…
…1001011100111110000
3120121000012021111200112
42113321323023213300
510133020322041312
6202532533240452
714532640121021
oct2277173134760
9517005244615
10163106830832
116319a610150
1227740193128
13124c4b16b6a
147c743a8c48
1543995d4d22
hex25f9ecb9f0

163106830832 has 160 divisors (see below), whose sum is σ = 359658123264. Its totient is φ = 70989004800.

The previous prime is 163106830813. The next prime is 163106830849. The reversal of 163106830832 is 238038601361.

It is a self number, because there is not a number n which added to its sum of digits gives 163106830832.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 282680528 + ... + 282681104.

Almost surely, 2163106830832 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 163106830832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179829061632).

163106830832 is an abundant number, since it is smaller than the sum of its proper divisors (196551292432).

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

163106830832 is a wasteful number, since it uses less digits than its factorization.

163106830832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1087 (or 1081 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 41.

The spelling of 163106830832 in words is "one hundred sixty-three billion, one hundred six million, eight hundred thirty thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 31 44 62 88 124 176 197 248 263 341 394 496 526 577 682 788 1052 1154 1364 1576 2104 2167 2308 2728 2893 3152 4208 4334 4616 5456 5786 6107 6347 8153 8668 9232 11572 12214 12694 16306 17336 17887 23144 24428 25388 32612 34672 35774 46288 48856 50776 51811 65224 67177 71548 89683 97712 101552 103622 113669 130448 134354 143096 151751 179366 196757 207244 227338 268708 286192 303502 358732 393514 414488 454676 537416 569921 607004 717464 787028 828976 909352 1074832 1139842 1214008 1250359 1434928 1574056 1606141 1669261 1818704 2279684 2428016 2500718 3148112 3212282 3338522 3523739 4559368 4704281 5001436 6424564 6677044 7047478 9118736 9408562 10002872 12849128 13354088 14094956 17667551 18817124 20005744 25698256 26708176 28189912 29894947 35335102 37634248 38761129 51747091 56379824 59789894 70670204 75268496 77522258 103494182 119579788 141340408 155044516 206988364 239159576 282680816 310089032 328844417 413976728 478319152 620178064 657688834 827953456 926743357 1315377668 1853486714 2630755336 3706973428 5261510672 7413946856 10194176927 14827893712 20388353854 40776707708 81553415416 163106830832