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2981849721136 = 2411134347644857
BaseRepresentation
bin101011011001000100000…
…101111110100100110000
3101120001200020022120120121
4223121010011332210300
5342323312012034021
610201502020020024
7425301005301136
oct53310405764460
911501606276517
102981849721136
11a4a660481610
12401a9b531614
13188258433820
14a447254b756
15528710a3741
hex2b64417e930

2981849721136 has 160 divisors (see below), whose sum is σ = 7092984019968. Its totient is φ = 1196027320320.

The previous prime is 2981849721083. The next prime is 2981849721223. The reversal of 2981849721136 is 6311279481892.

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, 4301620 + ... + 4946476.

Almost surely, 22981849721136 is an apocalyptic number.

2981849721136 is a gapful number since it is divisible by the number (26) 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 2981849721136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3546492009984).

2981849721136 is an abundant number, since it is smaller than the sum of its proper divisors (4111134298832).

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

2981849721136 is a wasteful number, since it uses less digits than its factorization.

2981849721136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644979 (or 644973 counting only the distinct ones).

The product of its digits is 10450944, while the sum is 61.

The spelling of 2981849721136 in words is "two trillion, nine hundred eighty-one billion, eight hundred forty-nine million, seven hundred twenty-one thousand, one hundred thirty-six".

Divisors: 1 2 4 8 11 13 16 22 26 43 44 47 52 86 88 94 104 143 172 176 188 208 286 344 376 473 517 559 572 611 688 752 946 1034 1118 1144 1222 1892 2021 2068 2236 2288 2444 3784 4042 4136 4472 4888 6149 6721 7568 8084 8272 8944 9776 12298 13442 16168 22231 24596 26273 26884 32336 44462 49192 52546 53768 88924 98384 105092 107536 177848 210184 289003 355696 420368 578006 644857 1156012 1289714 2312024 2579428 4624048 5158856 7093427 8383141 10317712 14186854 16766282 27728851 28373708 30308279 33532564 55457702 56747416 60616558 67065128 92214551 110915404 113494832 121233116 134130256 184429102 221830808 242466232 305017361 333391069 360475063 368858204 394007627 443661616 484932464 610034722 666782138 720950126 737716408 788015254 1220069444 1303255997 1333564276 1441900252 1475432816 1576030508 2440138888 2606511994 2667128552 2883800504 3152061016 3965225693 4334083897 4880277776 5213023988 5334257104 5767601008 6304122032 7930451386 8668167794 10426047976 14335815967 15860902772 16942327961 17336335588 20852095952 28671631934 31721805544 33884655922 34672671176 57343263868 63443611088 67769311844 69345342352 114686527736 135538623688 186365607571 229373055472 271077247376 372731215142 745462430284 1490924860568 2981849721136