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12355577777780 = 225644899579601
BaseRepresentation
bin1011001111001100000111…
…0100110000111001110100
31121202011220110101202211122
42303303001310300321310
53104413210402342110
642140023555523112
72413442510161406
oct263630164607164
947664813352748
1012355577777780
113a33a75601156
121476715bb9498
136b8183a34923
1430a028152b76
151665e49a9255
hexb3cc1d30e74

12355577777780 has 24 divisors (see below), whose sum is σ = 25947118385160. Its totient is φ = 4942153958400.

The previous prime is 12355577777761. The next prime is 12355577777819. The reversal of 12355577777780 is 8777777555321.

12355577777780 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 5943561195364 + 6412016582416 = 2437942^2 + 2532196^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3500021 + ... + 6079580.

It is an arithmetic number, because the mean of its divisors is an integer number (1081129932715).

Almost surely, 212355577777780 is an apocalyptic number.

12355577777780 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12355577777780 is an abundant number, since it is smaller than the sum of its proper divisors (13591540607380).

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

12355577777780 is a wasteful number, since it uses less digits than its factorization.

12355577777780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9644099 (or 9644097 counting only the distinct ones).

The product of its (nonzero) digits is 705894000, while the sum is 71.

The spelling of 12355577777780 in words is "twelve trillion, three hundred fifty-five billion, five hundred seventy-seven million, seven hundred seventy-seven thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 20 64489 128978 257956 322445 644890 1289780 9579601 19159202 38318404 47898005 95796010 191592020 617778888889 1235557777778 2471115555556 3088894444445 6177788888890 12355577777780