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55539877561 = 7213122572
BaseRepresentation
bin110011101110011011…
…110100011010111001
312022100200002002222021
4303232123310122321
51402221202040221
641303100154441
74004221112200
oct635633643271
9168320062867
1055539877561
11216108a4063
12a920238a21
13531170659c
14298c3a8237
1516a0de0041
hexcee6f46b9

55539877561 has 27 divisors (see below), whose sum is σ = 65358876207. Its totient is φ = 47058385920.

The previous prime is 55539877541. The next prime is 55539877571. The reversal of 55539877561 is 16577893555.

The square root of 55539877561 is 235669.

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

It can be written as a sum of positive squares in only one way, i.e., 54678807225 + 861070336 = 233835^2 + 29344^2 .

It is not a de Polignac number, because 55539877561 - 213 = 55539869369 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 55539877561.

It is not an unprimeable number, because it can be changed into a prime (55539877511) 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, 216108345 + ... + 216108601.

Almost surely, 255539877561 is an apocalyptic number.

55539877561 is the 235669-th square number.

55539877561 is the 117835-th centered octagonal number.

It is an amenable number.

55539877561 is a deficient number, since it is larger than the sum of its proper divisors (9818998646).

55539877561 is an frugal number, since it uses more digits than its factorization.

55539877561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 790 (or 395 counting only the distinct ones).

The product of its digits is 39690000, while the sum is 61.

The spelling of 55539877561 in words is "fifty-five billion, five hundred thirty-nine million, eight hundred seventy-seven thousand, five hundred sixty-one".

Divisors: 1 7 49 131 257 917 1799 6419 12593 17161 33667 66049 120127 235669 462343 840889 1649683 3236401 4410377 8652419 30872639 60566933 216108473 423968531 1133466889 7934268223 55539877561