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5657908536 = 2333713192837
BaseRepresentation
bin1010100010011110…
…01101010100111000
3112121022100112102000
411101033031110320
543041411033121
62333232341000
7260131300110
oct52117152470
915538315360
105657908536
112443818475
12111a9a4760
136c2251497
143b9600040
15231ab2526
hex1513cd538

5657908536 has 128 divisors (see below), whose sum is σ = 17981568000. Its totient is φ = 1614750336.

The previous prime is 5657908513. The next prime is 5657908537. The reversal of 5657908536 is 6358097565.

5657908536 is a `hidden beast` number, since 56 + 57 + 9 + 0 + 8 + 536 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5657908537) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1992910 + ... + 1995746.

It is an arithmetic number, because the mean of its divisors is an integer number (140481000).

Almost surely, 25657908536 is an apocalyptic number.

5657908536 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5657908536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8990784000).

5657908536 is an abundant number, since it is smaller than the sum of its proper divisors (12323659464).

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

5657908536 is a wasteful number, since it uses less digits than its factorization.

5657908536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4178 (or 4168 counting only the distinct ones).

The product of its (nonzero) digits is 6804000, while the sum is 54.

The square root of 5657908536 is about 75219.0702947065. The cubic root of 5657908536 is about 1781.9081225516.

The spelling of 5657908536 in words is "five billion, six hundred fifty-seven million, nine hundred eight thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1319 1512 2638 2837 3957 5276 5674 7914 8511 9233 10552 11348 11871 15828 17022 18466 19859 22696 23742 25533 27699 31656 34044 35613 36932 39718 47484 51066 55398 59577 68088 71226 73864 76599 79436 83097 94968 102132 110796 119154 142452 153198 158872 166194 178731 204264 221592 238308 249291 284904 306396 332388 357462 476616 498582 536193 612792 664776 714924 997164 1072386 1429848 1994328 2144772 3742003 4289544 7484006 11226009 14968012 22452018 26194021 29936024 33678027 44904036 52388042 67356054 78582063 89808072 101034081 104776084 134712108 157164126 202068162 209552168 235746189 269424216 314328252 404136324 471492378 628656504 707238567 808272648 942984756 1414477134 1885969512 2828954268 5657908536