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51000555556056 = 23317193971667019
BaseRepresentation
bin10111001100010011111011…
…11111110100110011011000
320200120121100101221212021010
423212021331333310303120
523141043114210243211
6300245155355213520
713512445211342121
oct1346117577646330
9220517311855233
1051000555556056
111528323a036517
1258782baa472a0
13225c440b25bc2
14c84623749048
155d69950654a6
hex2e627dff4cd8

51000555556056 has 128 divisors (see below), whose sum is σ = 135840917548800. Its totient is φ = 15900855336960.

The previous prime is 51000555556043. The next prime is 51000555556061. The reversal of 51000555556056 is 65065555500015.

It is a junction number, because it is equal to n+sod(n) for n = 51000555555996 and 51000555556014.

It is a congruent number.

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, 76126915 + ... + 76793933.

It is an arithmetic number, because the mean of its divisors is an integer number (1061257168350).

Almost surely, 251000555556056 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 51000555556056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67920458774400).

51000555556056 is an abundant number, since it is smaller than the sum of its proper divisors (84840361992744).

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

51000555556056 is a wasteful number, since it uses less digits than its factorization.

51000555556056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668209 (or 668205 counting only the distinct ones).

The product of its (nonzero) digits is 2812500, while the sum is 48.

The spelling of 51000555556056 in words is "fifty-one trillion, five hundred fifty-five million, five hundred fifty-six thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 193 204 386 408 579 772 971 1158 1544 1942 2316 2913 3281 3884 4632 5826 6562 7768 9843 11652 13124 16507 19686 23304 26248 33014 39372 49521 66028 78744 99042 132056 187403 198084 374806 396168 562209 667019 749612 1124418 1334038 1499224 2001057 2248836 2668076 3185851 4002114 4497672 5336152 6371702 8004228 9557553 11339323 12743404 16008456 19115106 22678646 25486808 34017969 38230212 45357292 68035938 76460424 90714584 128734667 136071876 257469334 272143752 386204001 514938668 647675449 772408002 1029877336 1295350898 1544816004 1943026347 2188489339 2590701796 3089632008 3886052694 4376978678 5181403592 6565468017 7772105388 8753957356 11010482633 13130936034 15544210776 17507914712 22020965266 26261872068 33031447899 44041930532 52523744136 66062895798 88083861064 125001361657 132125791596 250002723314 264251583192 375004084971 500005446628 750008169942 1000010893256 1500016339884 2125023148169 3000032679768 4250046296338 6375069444507 8500092592676 12750138889014 17000185185352 25500277778028 51000555556056