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53640991827 = 345926174289
BaseRepresentation
bin110001111101010000…
…001001010001010011
312010110022222201110000
4301331100021101103
51334324043214302
640350424341043
73606162623163
oct617520112123
9163408881400
1053640991827
1120826a3a105
12a490314783
13509b1a2c67
14284c1105a3
1515de35231c
hexc7d409453

53640991827 has 40 divisors (see below), whose sum is σ = 81538657200. Its totient is φ = 35132921856.

The previous prime is 53640991823. The next prime is 53640991879. The reversal of 53640991827 is 72819904635.

53640991827 is a `hidden beast` number, since 53 + 6 + 409 + 9 + 182 + 7 = 666.

It is not a de Polignac number, because 53640991827 - 22 = 53640991823 is a prime.

It is not an unprimeable number, because it can be changed into a prime (53640991823) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12504499 + ... + 12508787.

It is an arithmetic number, because the mean of its divisors is an integer number (2038466430).

It is a 2-persistent number, because it is pandigital, and so is 2⋅53640991827 = 107281983654, but 3⋅53640991827 = 160922975481 is not.

Almost surely, 253640991827 is an apocalyptic number.

53640991827 is the 115803-rd decagonal number.

53640991827 is a deficient number, since it is larger than the sum of its proper divisors (27897665373).

53640991827 is a wasteful number, since it uses less digits than its factorization.

53640991827 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6977 (or 6968 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 53640991827 in words is "fifty-three billion, six hundred forty million, nine hundred ninety-one thousand, eight hundred twenty-seven".

Divisors: 1 3 9 27 59 81 177 531 1593 2617 4289 4779 7851 12867 23553 38601 70659 115803 154403 211977 253051 347409 463209 759153 1389627 2277459 4168881 6832377 11224313 12506643 20497131 33672939 101018817 303056451 662234467 909169353 1986703401 5960110203 17880330609 53640991827