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1055610005560 = 235118839532851
BaseRepresentation
bin11110101110001110100…
…00100110100000111000
310201220201021110101222121
433113013100212200320
5114243342130134220
62124535053531024
7136160000000065
oct17270720464070
93656637411877
101055610005560
11377755368180
121507017a3a74
137870b386c86
143913dc67c6c
151c6d38a9eaa
hexf5c7426838

1055610005560 has 128 divisors (see below), whose sum is σ = 2597609813760. Its totient is φ = 382886784000.

The previous prime is 1055610005543. The next prime is 1055610005561. The reversal of 1055610005560 is 655000165501.

It is a super-2 number, since 2×10556100055602 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1055610005561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 370258135 + ... + 370260985.

It is an arithmetic number, because the mean of its divisors is an integer number (20293826670).

Almost surely, 21055610005560 is an apocalyptic number.

1055610005560 is a gapful number since it is divisible by the number (10) 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 1055610005560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1298804906880).

1055610005560 is an abundant number, since it is smaller than the sum of its proper divisors (1541999808200).

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

1055610005560 is a wasteful number, since it uses less digits than its factorization.

1055610005560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4709 (or 4705 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 34.

The spelling of 1055610005560 in words is "one trillion, fifty-five billion, six hundred ten million, five thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 883 953 1766 1906 2851 3532 3812 4415 4765 5702 7064 7624 8830 9530 9713 10483 11404 14255 17660 19060 19426 20966 22808 28510 31361 35320 38120 38852 41932 48565 52415 57020 62722 77704 83864 97130 104830 114040 125444 156805 194260 209660 250888 313610 388520 419320 627220 841499 1254440 1682998 2517433 2717003 3365996 4207495 5034866 5434006 6731992 8414990 9256489 10069732 10868012 12587165 13585015 16829980 18512978 20139464 21736024 25174330 27170030 27691763 29887033 33659960 37025956 46282445 50348660 54340060 55383526 59774066 74051912 92564890 100697320 108680120 110767052 119548132 138458815 149435165 185129780 221534104 239096264 276917630 298870330 370259560 553835260 597740660 1107670520 1195481320 2399113649 4798227298 9596454596 11995568245 19192909192 23991136490 26390250139 47982272980 52780500278 95964545960 105561000556 131951250695 211122001112 263902501390 527805002780 1055610005560