Search a number
-
+
2502425466112 = 28111382782657
BaseRepresentation
bin100100011010100100001…
…011100101010100000000
322212020012100000000012211
4210122210023211110000
5311444431404403422
65153333130231504
7345536302334245
oct44324413452400
98766170000184
102502425466112
118852aaa34930
12344ba1285594
13151c930461a0
1489191c815cc
1545161a17577
hex246a42e5500

2502425466112 has 144 divisors (see below), whose sum is σ = 5875507858752. Its totient is φ = 1048686428160.

The previous prime is 2502425466049. The next prime is 2502425466133. The reversal of 2502425466112 is 2116645242052.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30233488 + ... + 30316144.

It is an arithmetic number, because the mean of its divisors is an integer number (40802137908).

Almost surely, 22502425466112 is an apocalyptic number.

2502425466112 is a gapful number since it is divisible by the number (22) 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 2502425466112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2937753929376).

2502425466112 is an abundant number, since it is smaller than the sum of its proper divisors (3373082392640).

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

2502425466112 is a wasteful number, since it uses less digits than its factorization.

2502425466112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83524 (or 83510 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 40.

The spelling of 2502425466112 in words is "two trillion, five hundred two billion, four hundred twenty-five million, four hundred sixty-six thousand, one hundred twelve".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 128 143 176 208 256 286 352 416 572 704 827 832 1144 1408 1654 1664 2288 2816 3308 3328 4576 6616 9097 9152 10751 13232 18194 18304 21502 26464 36388 36608 43004 52928 72776 82657 86008 105856 118261 145552 165314 172016 211712 236522 291104 330628 344032 473044 582208 661256 688064 909227 946088 1074541 1164416 1322512 1376128 1818454 1892176 2149082 2328832 2645024 2752256 3636908 3784352 4298164 5290048 7273816 7568704 8596328 10580096 11819951 14547632 15137408 17192656 21160192 23639902 29095264 30274816 34385312 47279804 58190528 68357339 68770624 94559608 116381056 136714678 137541248 189119216 232762112 273429356 275082496 378238432 546858712 751930729 756476864 888645407 1093717424 1503861458 1512953728 1777290814 2187434848 3007722916 3025907456 3554581628 4374869696 6015445832 7109163256 8749739392 9775099477 12030891664 14218326512 17499478784 19550198954 24061783328 28436653024 39100397908 48123566656 56873306048 78200795816 96247133312 113746612096 156401591632 192494266624 227493224192 312803183264 625606366528 1251212733056 2502425466112