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5623795656 = 23355354583
BaseRepresentation
bin1010011110011010…
…00100111111001000
3112111221011102100000
411033031010333020
543004142430111
62330013243000
7256235321463
oct51715047710
915457142300
105623795656
112426538a06
12110b493460
136b816944b
143b4c802da
1522dac4c56
hex14f344fc8

5623795656 has 96 divisors (see below), whose sum is σ = 16093546560. Its totient is φ = 1839195072.

The previous prime is 5623795613. The next prime is 5623795657. The reversal of 5623795656 is 6565973265.

It is a happy number.

5623795656 is a `hidden beast` number, since 5 + 6 + 2 + 3 + 79 + 565 + 6 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (5623795657) by changing a digit.

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, 75741 + ... + 130323.

It is an arithmetic number, because the mean of its divisors is an integer number (167641110).

Almost surely, 25623795656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5623795656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8046773280).

5623795656 is an abundant number, since it is smaller than the sum of its proper divisors (10469750904).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5623795656 is a wasteful number, since it uses less digits than its factorization.

5623795656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54657 (or 54641 counting only the distinct ones).

The product of its digits is 10206000, while the sum is 54.

The square root of 5623795656 is about 74991.9706101927. The cubic root of 5623795656 is about 1778.3197180563.

The spelling of 5623795656 in words is "five billion, six hundred twenty-three million, seven hundred ninety-five thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 53 54 72 81 106 108 159 162 212 216 243 318 324 424 477 486 636 648 954 972 1272 1431 1908 1944 2862 3816 4293 5724 8586 11448 12879 17172 25758 34344 51516 54583 103032 109166 163749 218332 327498 436664 491247 654996 982494 1309992 1473741 1964988 2892899 2947482 3929976 4421223 5785798 5894964 8678697 8842446 11571596 11789928 13263669 17357394 17684892 23143192 26036091 26527338 34714788 35369784 52072182 53054676 69429576 78108273 104144364 106109352 156216546 208288728 234324819 312433092 468649638 624866184 702974457 937299276 1405948914 1874598552 2811897828 5623795656