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5657338064 = 2471715831877
BaseRepresentation
bin1010100010011010…
…00010000011010000
3112121021021112212102
411101031002003100
543041234304224
62333212215532
7260123402660
oct52115020320
915537245772
105657338064
112443468904
12111a76a5a8
136c20b1921
143b94d21a0
152319ed4ae
hex1513420d0

5657338064 has 80 divisors (see below), whose sum is σ = 13279292928. Its totient is φ = 2279294976.

The previous prime is 5657338051. The next prime is 5657338091. The reversal of 5657338064 is 4608337565.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3013094 + ... + 3014970.

Almost surely, 25657338064 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 5657338064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6639646464).

5657338064 is an abundant number, since it is smaller than the sum of its proper divisors (7621954864).

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

5657338064 is a wasteful number, since it uses less digits than its factorization.

5657338064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3492 (or 3486 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 47.

The square root of 5657338064 is about 75215.2781288483. The cubic root of 5657338064 is about 1781.8482321728.

The spelling of 5657338064 in words is "five billion, six hundred fifty-seven million, three hundred thirty-eight thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 68 112 119 136 238 272 476 952 1583 1877 1904 3166 3754 6332 7508 11081 12664 13139 15016 22162 25328 26278 26911 30032 31909 44324 52556 53822 63818 88648 105112 107644 127636 177296 188377 210224 215288 223363 255272 376754 430576 446726 510544 753508 893452 1507016 1786904 2971291 3014032 3573808 5942582 11885164 20799037 23770328 41598074 47540656 50511947 83196148 101023894 166392296 202047788 332784592 353583629 404095576 707167258 808191152 1414334516 2828669032 5657338064