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215044371400056 = 233114735474886131
BaseRepresentation
bin110000111001010011101011…
…010111100100010101111000
31001012102001002222121002212020
4300321103223113210111320
5211141241333034300211
62041210004224114440
763203304664265532
oct6071235327442570
91035361088532766
10215044371400056
1162579895507490
1220151058a65a20
1392cb79c0bc263
143b162bb498852
1519cdbe6d75306
hexc394eb5e4578

215044371400056 has 128 divisors (see below), whose sum is σ = 599132033372160. Its totient is φ = 63760478486400.

The previous prime is 215044371400039. The next prime is 215044371400099. The reversal of 215044371400056 is 650004173440512.

It is a junction number, because it is equal to n+sod(n) for n = 215044371399990 and 215044371400017.

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, 41568111 + ... + 46454241.

It is an arithmetic number, because the mean of its divisors is an integer number (4680719010720).

Almost surely, 2215044371400056 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 215044371400056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299566016686080).

215044371400056 is an abundant number, since it is smaller than the sum of its proper divisors (384087661972104).

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

215044371400056 is a wasteful number, since it uses less digits than its factorization.

215044371400056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4889745 (or 4889741 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 42.

The spelling of 215044371400056 in words is "two hundred fifteen trillion, forty-four billion, three hundred seventy-one million, four hundred thousand, fifty-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 47 66 88 94 132 141 188 264 282 376 517 564 1034 1128 1551 2068 3102 3547 4136 6204 7094 10641 12408 14188 21282 28376 39017 42564 78034 85128 117051 156068 166709 234102 312136 333418 468204 500127 666836 936408 1000254 1333672 1833799 2000508 3667598 4001016 4886131 5501397 7335196 9772262 11002794 14658393 14670392 19544524 22005588 29316786 39089048 44011176 53747441 58633572 107494882 117267144 161242323 214989764 229648157 322484646 429979528 459296314 644969292 688944471 918592628 1289938584 1377888942 1837185256 2526129727 2755777884 5052259454 5511555768 7578389181 10104518908 15156778362 17331106657 20209037816 30313556724 34662213314 51993319971 60627113448 69324426628 103986639942 138648853256 190642173227 207973279884 381284346454 415946559768 571926519681 762568692908 814562012879 1143853039362 1525137385816 1629124025758 2287706078724 2443686038637 3258248051516 4575412157448 4887372077274 6516496103032 8960182141669 9774744154548 17920364283338 19549488309096 26880546425007 35840728566676 53761092850014 71681457133352 107522185700028 215044371400056