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54622600025032 = 231319472357249533
BaseRepresentation
bin11000110101101110100001…
…01010111101001111001000
321011101212110220122020122101
430122313100222331033020
524124414041101300112
6312101135342403144
714335231643343124
oct1432672052751710
9234355426566571
1054622600025032
111644a350784596
1261622862904b4
132462b73404c90
14d6ba68520584
1564acd4adb757
hex31add0abd3c8

54622600025032 has 128 divisors (see below), whose sum is σ = 118621676275200. Its totient is φ = 23365393947648.

The previous prime is 54622600025011. The next prime is 54622600025069. The reversal of 54622600025032 is 23052000622645.

It is a junction number, because it is equal to n+sod(n) for n = 54622600024982 and 54622600025000.

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, 218774538 + ... + 219024070.

It is an arithmetic number, because the mean of its divisors is an integer number (926731845900).

Almost surely, 254622600025032 is an apocalyptic number.

54622600025032 is a gapful number since it is divisible by the number (52) 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 54622600025032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59310838137600).

54622600025032 is an abundant number, since it is smaller than the sum of its proper divisors (63999076250168).

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

54622600025032 is a wasteful number, since it uses less digits than its factorization.

54622600025032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251975 (or 251971 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 37.

Adding to 54622600025032 its reverse (23052000622645), we get a palindrome (77674600647677).

The spelling of 54622600025032 in words is "fifty-four trillion, six hundred twenty-two billion, six hundred million, twenty-five thousand, thirty-two".

Divisors: 1 2 4 8 13 19 26 38 47 52 76 94 104 152 188 247 376 494 611 893 988 1222 1786 1976 2357 2444 3572 4714 4888 7144 9428 11609 18856 23218 30641 44783 46436 61282 89566 92872 110779 122564 179132 221558 245128 249533 358264 443116 499066 582179 886232 998132 1164358 1440127 1996264 2104801 2328716 2880254 3243929 4209602 4657432 4741127 5760508 6487858 8419204 9482254 11521016 11728051 12975716 16838408 18964508 23456102 25951432 27362413 37929016 46912204 54724826 61634651 93824408 109449652 123269302 152464663 218899304 222832969 246538604 304929326 445665938 493077208 588149281 609858652 891331876 1176298562 1219717304 1782663752 2352597124 2896828597 4705194248 5793657194 7645940653 11174836339 11587314388 15291881306 22349672678 23174628776 27643016207 30583762612 44699345356 55286032414 61167525224 89398690712 110572064828 145272872407 221144129656 290545744814 359359210691 525217307933 581091489628 718718421382 1050434615866 1162182979256 1437436842764 2100869231732 2874873685528 4201738463464 6827825003129 13655650006258 27311300012516 54622600025032