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21655405226656 = 251922964641457
BaseRepresentation
bin1001110110010000010101…
…01111000110101010100000
32211200020101102110010021201
410323020022233012222200
510314300232214223111
6114020204505130544
74363360062206665
oct473101257065240
984606342403251
1021655405226656
11699a007771343
122518b67489a54
13c11132a59956
1454c1ad0a1a6c
1527849060d6c1
hex13b20abc6aa0

21655405226656 has 72 divisors (see below), whose sum is σ = 46547667491220. Its totient is φ = 9904105322496.

The previous prime is 21655405226647. The next prime is 21655405226671. The reversal of 21655405226656 is 65662250455612.

It can be written as a sum of positive squares in 2 ways, for example, as 21182858970256 + 472546256400 = 4602484^2 + 687420^2 .

It is a junction number, because it is equal to n+sod(n) for n = 21655405226597 and 21655405226606.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31985721 + ... + 32655736.

Almost surely, 221655405226656 is an apocalyptic number.

It is an amenable number.

21655405226656 is an abundant number, since it is smaller than the sum of its proper divisors (24892262264564).

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

21655405226656 is a wasteful number, since it uses less digits than its factorization.

21655405226656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64641534 (or 64641507 counting only the distinct ones).

The product of its (nonzero) digits is 25920000, while the sum is 55.

The spelling of 21655405226656 in words is "twenty-one trillion, six hundred fifty-five billion, four hundred five million, two hundred twenty-six thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 19 29 32 38 58 76 116 152 232 304 361 464 551 608 722 928 1102 1444 2204 2888 4408 5776 8816 10469 11552 17632 20938 41876 83752 167504 335008 64641457 129282914 258565828 517131656 1034263312 1228187683 1874602253 2068526624 2456375366 3749204506 4912750732 7498409012 9825501464 14996818024 19651002928 23335565977 29993636048 35617442807 39302005856 46671131954 59987272096 71234885614 93342263908 142469771228 186684527816 284939542456 373369055632 569879084912 676731413333 746738111264 1139758169824 1353462826666 2706925653332 5413851306664 10827702613328 21655405226656