Search a number
-
+
10929216936 = 23311193795749
BaseRepresentation
bin10100010110110111…
…01001110110101000
31001012200020202010110
422023123221312220
5134340334420221
65004255014320
7534556545141
oct121333516650
931180222113
1010929216936
1146a92924a0
12215020a3a0
131052373591
14759726ac8
1543e75b776
hex28b6e9da8

10929216936 has 128 divisors (see below), whose sum is σ = 31464000000. Its totient is φ = 3128751360.

The previous prime is 10929216929. The next prime is 10929216941. The reversal of 10929216936 is 63961292901.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1898190 + ... + 1903938.

It is an arithmetic number, because the mean of its divisors is an integer number (245812500).

Almost surely, 210929216936 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 10929216936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15732000000).

10929216936 is an abundant number, since it is smaller than the sum of its proper divisors (20534783064).

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

10929216936 is a wasteful number, since it uses less digits than its factorization.

10929216936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6167 (or 6163 counting only the distinct ones).

The product of its (nonzero) digits is 314928, while the sum is 48.

The spelling of 10929216936 in words is "ten billion, nine hundred twenty-nine million, two hundred sixteen thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 19 22 24 33 38 44 57 66 76 88 114 132 152 209 228 264 379 418 456 627 758 836 1137 1254 1516 1672 2274 2508 3032 4169 4548 5016 5749 7201 8338 9096 11498 12507 14402 16676 17247 21603 22996 25014 28804 33352 34494 43206 45992 50028 57608 63239 68988 79211 86412 100056 109231 126478 137976 158422 172824 189717 218462 237633 252956 316844 327693 379434 436924 475266 505912 633688 655386 758868 873848 950532 1201541 1310772 1517736 1901064 2178871 2403082 2621544 3604623 4357742 4806164 6536613 7209246 8715484 9612328 13073226 14418492 17430968 23967581 26146452 28836984 41398549 47935162 52292904 71902743 82797098 95870324 124195647 143805486 165594196 191740648 248391294 287610972 331188392 455384039 496782588 575221944 910768078 993565176 1366152117 1821536156 2732304234 3643072312 5464608468 10929216936