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56855038103310 = 235192331103388117
BaseRepresentation
bin11001110110101100110000…
…10110011000111100001110
321110022021210100201220010110
430323112120112120330032
524423003104223301220
6320530502142220450
714655432563043036
oct1473263026307416
9243267710656113
1056855038103310
11171300a488a927
126462a79284726
13259553a4ac175
141007b2722c8c6
15688de3c10be0
hex33b598598f0e

56855038103310 has 128 divisors (see below), whose sum is σ = 144381386373120. Its totient is φ = 14288729619456.

The previous prime is 56855038103251. The next prime is 56855038103333. The reversal of 56855038103310 is 1330183055865.

It is a super-2 number, since 2×568550381033102 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 56855038103310.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 146295372 + ... + 146683488.

It is an arithmetic number, because the mean of its divisors is an integer number (1127979581040).

Almost surely, 256855038103310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56855038103310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72190693186560).

56855038103310 is an abundant number, since it is smaller than the sum of its proper divisors (87526348269810).

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

56855038103310 is a wasteful number, since it uses less digits than its factorization.

56855038103310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389482.

The product of its (nonzero) digits is 1296000, while the sum is 48.

The spelling of 56855038103310 in words is "fifty-six trillion, eight hundred fifty-five billion, thirty-eight million, one hundred three thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 114 190 233 285 466 570 699 1103 1165 1398 2206 2330 3309 3495 4427 5515 6618 6990 8854 11030 13281 16545 20957 22135 26562 33090 41914 44270 62871 66405 104785 125742 132810 209570 256999 314355 388117 513998 628710 770997 776234 1164351 1284995 1541994 1940585 2328702 2569990 3854985 3881170 4882981 5821755 7374223 7709970 9765962 11643510 14648943 14748446 22122669 24414905 29297886 36871115 44245338 48829810 73244715 73742230 90431261 110613345 146489430 180862522 221226690 271293783 428093051 452156305 542587566 856186102 904312610 1284279153 1356468915 1718193959 2140465255 2568558306 2712937830 3436387918 4280930510 5154581877 6421395765 8133767969 8590969795 10309163754 12842791530 16267535938 17181939590 24401303907 25772909385 40668839845 48802607814 51545818770 81337679690 99745680883 122006519535 199491361766 244013039070 299237042649 498728404415 598474085298 997456808830 1496185213245 1895167936777 2992370426490 3790335873554 5685503810331 9475839683885 11371007620662 18951679367770 28427519051655 56855038103310