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56814059449 = 7217220032
BaseRepresentation
bin110100111010011000…
…011011111110111001
312102122110200020221001
4310322120123332321
51412323344400244
642033334245001
74050622352200
oct647230337671
9172573606831
1056814059449
1122105067844
12b016ab6761
1354856a1b74
142a6d6c8237
151727bd05d4
hexd3a61bfb9

56814059449 has 27 divisors (see below), whose sum is σ = 70241213487. Its totient is φ = 45810308544.

The previous prime is 56814059443. The next prime is 56814059453. The reversal of 56814059449 is 94495041865.

The square root of 56814059449 is 238357.

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., 44232399225 + 12581660224 = 210315^2 + 112168^2 .

It is not a de Polignac number, because 56814059449 - 219 = 56813535161 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 56814059449.

It is not an unprimeable number, because it can be changed into a prime (56814059443) 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, 28363482 + ... + 28365484.

Almost surely, 256814059449 is an apocalyptic number.

56814059449 is the 238357-th square number.

56814059449 is the 119179-th centered octagonal number.

It is an amenable number.

56814059449 is a deficient number, since it is larger than the sum of its proper divisors (13427154038).

56814059449 is an frugal number, since it uses more digits than its factorization.

56814059449 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4054 (or 2027 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 55.

The spelling of 56814059449 in words is "fifty-six billion, eight hundred fourteen million, fifty-nine thousand, four hundred forty-nine".

Divisors: 1 7 17 49 119 289 833 2003 2023 14021 14161 34051 98147 238357 578867 1668499 4012009 4052069 28084063 28364483 68204153 196588441 477429071 1159470601 3342003497 8116294207 56814059449