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55605505056 = 2533758726669
BaseRepresentation
bin110011110010010110…
…001010110000100000
312022112020120022222020
4303302112022300200
51402340002130211
641313402541440
74005645665043
oct636226126040
9168466508866
1055605505056
1121644948a62
12a93a207880
1353221a3b1a
142996dacc5a
1516a6a55306
hexcf258ac20

55605505056 has 96 divisors (see below), whose sum is σ = 150170448960. Its totient is φ = 18002820096.

The previous prime is 55605505001. The next prime is 55605505057. The reversal of 55605505056 is 65050550655.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 55605504999 and 55605505017.

It is not an unprimeable number, because it can be changed into a prime (55605505057) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2071690 + ... + 2098358.

It is an arithmetic number, because the mean of its divisors is an integer number (1564275510).

Almost surely, 255605505056 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 55605505056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75085224480).

55605505056 is an abundant number, since it is smaller than the sum of its proper divisors (94564943904).

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

55605505056 is a wasteful number, since it uses less digits than its factorization.

55605505056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27306 (or 27298 counting only the distinct ones).

The product of its (nonzero) digits is 562500, while the sum is 42.

The spelling of 55605505056 in words is "fifty-five billion, six hundred five million, five hundred five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 111 148 222 296 444 587 592 888 1174 1184 1761 1776 2348 3522 3552 4696 7044 9392 14088 18784 21719 26669 28176 43438 53338 56352 65157 80007 86876 106676 130314 160014 173752 213352 260628 320028 347504 426704 521256 640056 695008 853408 986753 1042512 1280112 1973506 2085024 2560224 2960259 3947012 5920518 7894024 11841036 15654703 15788048 23682072 31309406 31576096 46964109 47364144 62618812 93928218 94728288 125237624 187856436 250475248 375712872 500950496 579224011 751425744 1158448022 1502851488 1737672033 2316896044 3475344066 4633792088 6950688132 9267584176 13901376264 18535168352 27802752528 55605505056