Search a number
-
+
6931013232 = 24311133132573
BaseRepresentation
bin1100111010001111…
…01101111001110000
3122220000220221201210
412131013231321300
5103143314410412
63103431400120
7333520432443
oct63507557160
918800827653
106931013232
112a37415910
121415223040
13865c30680
1449a71d65a
152a873d83c
hex19d1ede70

6931013232 has 160 divisors (see below), whose sum is σ = 21714610176. Its totient is φ = 1876147200.

The previous prime is 6931013213. The next prime is 6931013261. The reversal of 6931013232 is 2323101396.

It is a self number, because there is not a number n which added to its sum of digits gives 6931013232.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 196498 + ... + 229070.

Almost surely, 26931013232 is an apocalyptic number.

6931013232 is a gapful number since it is divisible by the number (62) 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 6931013232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10857305088).

6931013232 is an abundant number, since it is smaller than the sum of its proper divisors (14783596944).

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

6931013232 is a wasteful number, since it uses less digits than its factorization.

6931013232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32639 (or 32633 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 30.

The square root of 6931013232 is about 83252.7070550862. The cubic root of 6931013232 is about 1906.6262850810.

The spelling of 6931013232 in words is "six billion, nine hundred thirty-one million, thirteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 31 33 39 44 48 52 62 66 78 88 93 104 124 132 143 156 176 186 208 248 264 286 312 341 372 403 429 496 528 572 624 682 744 806 858 1023 1144 1209 1364 1488 1612 1716 2046 2288 2418 2728 3224 3432 4092 4433 4836 5456 6448 6864 8184 8866 9672 13299 16368 17732 19344 26598 32573 35464 53196 65146 70928 97719 106392 130292 195438 212784 260584 358303 390876 423449 521168 716606 781752 846898 1009763 1074909 1270347 1433212 1563504 1693796 2019526 2149818 2540694 2866424 3029289 3387592 4039052 4299636 4657939 5081388 5732848 6058578 6775184 8078104 8599272 9315878 10162776 11107393 12117156 13126919 13973817 16156208 17198544 18631756 20325552 22214786 24234312 26253838 27947634 33322179 37263512 39380757 44429572 48468624 52507676 55895268 66644358 74527024 78761514 88859144 105015352 111790536 133288716 144396109 157523028 177718288 210030704 223581072 266577432 288792218 315046056 433188327 533154864 577584436 630092112 866376654 1155168872 1732753308 2310337744 3465506616 6931013232