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55705351345 = 572534289977
BaseRepresentation
bin110011111000010011…
…000011010010110001
312022210012110001022221
4303320103003102301
51403041032220340
641331331001041
74011300450100
oct637023032261
9168705401287
1055705351345
1121696244a56
12a967739181
135339a92677
1429a6360037
1516b06c944a
hexcf84c34b1

55705351345 has 24 divisors (see below), whose sum is σ = 79227313704. Its totient is φ = 37477230336.

The previous prime is 55705351333. The next prime is 55705351393. The reversal of 55705351345 is 54315350755.

It can be written as a sum of positive squares in 4 ways, for example, as 27690291216 + 28015060129 = 166404^2 + 167377^2 .

It is not a de Polignac number, because 55705351345 - 27 = 55705351217 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2132004 + ... + 2157973.

It is an arithmetic number, because the mean of its divisors is an integer number (3301138071).

Almost surely, 255705351345 is an apocalyptic number.

It is an amenable number.

55705351345 is a deficient number, since it is larger than the sum of its proper divisors (23521962359).

55705351345 is a wasteful number, since it uses less digits than its factorization.

55705351345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4290049 (or 4290042 counting only the distinct ones).

The product of its (nonzero) digits is 787500, while the sum is 43.

The spelling of 55705351345 in words is "fifty-five billion, seven hundred five million, three hundred fifty-one thousand, three hundred forty-five".

Divisors: 1 5 7 35 49 53 245 265 371 1855 2597 12985 4289977 21449885 30029839 150149195 210208873 227368781 1051044365 1136843905 1591581467 7957907335 11141070269 55705351345