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55380679561 = 17210921272
BaseRepresentation
bin110011100100111100…
…100001101110001001
312021221120112000101001
4303210330201232021
51401404423221221
641235212055001
74000246003114
oct634474415611
9167846460331
1055380679561
1121539a4a269
12a896a64461
1352b7736b9c
1429751a757b
151691e45391
hexce4f21b89

55380679561 has 27 divisors (see below), whose sum is σ = 59845869909. Its totient is φ = 51238147968.

The previous prime is 55380679553. The next prime is 55380679567. The reversal of 55380679561 is 16597608355.

The square root of 55380679561 is 235331.

It is a perfect power (a square), and thus also a powerful number.

55380679561 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 12632636025 + 42748043536 = 112395^2 + 206756^2 .

It is not a de Polignac number, because 55380679561 - 23 = 55380679553 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (55380679567) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 436068280 + ... + 436068406.

Almost surely, 255380679561 is an apocalyptic number.

55380679561 is the 235331-st square number.

55380679561 is the 117666-th centered octagonal number.

It is an amenable number.

55380679561 is a deficient number, since it is larger than the sum of its proper divisors (4465190348).

55380679561 is an equidigital number, since it uses as much as digits as its factorization.

55380679561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 6804000, while the sum is 55.

The spelling of 55380679561 in words is "fifty-five billion, three hundred eighty million, six hundred seventy-nine thousand, five hundred sixty-one".

Divisors: 1 17 109 127 289 1853 2159 11881 13843 16129 31501 36703 201977 235331 274193 1508887 1758061 3433609 4000627 4661281 25651079 29887037 191628649 436068343 508079629 3257687033 55380679561