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6400056264 = 2337280313591
BaseRepresentation
bin1011111010111100…
…10001101111001000
3121112000211112200220
411331132101233020
5101101403300024
62535023230040
7314412403110
oct57536215710
917460745626
106400056264
112794734aa8
1212a7448320
137acc29b54
14449dca040
15276d0ce79
hex17d791bc8

6400056264 has 64 divisors (see below), whose sum is σ = 18293744640. Its totient is φ = 1827800640.

The previous prime is 6400056259. The next prime is 6400056269. The reversal of 6400056264 is 4626500046.

It is an interprime number because it is at equal distance from previous prime (6400056259) and next prime (6400056269).

It is not an unprimeable number, because it can be changed into a prime (6400056269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 464109 + ... + 477699.

It is an arithmetic number, because the mean of its divisors is an integer number (285839760).

Almost surely, 26400056264 is an apocalyptic number.

It is an amenable number.

6400056264 is an abundant number, since it is smaller than the sum of its proper divisors (11893688376).

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

6400056264 is a wasteful number, since it uses less digits than its factorization.

6400056264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16410 (or 16406 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 6400056264 is about 80000.3516492271. The cubic root of 6400056264 is about 1856.6409741449.

The spelling of 6400056264 in words is "six billion, four hundred million, fifty-six thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 2803 5606 8409 11212 13591 16818 19621 22424 27182 33636 39242 40773 54364 58863 67272 78484 81546 95137 108728 117726 156968 163092 190274 235452 285411 326184 380548 470904 570822 761096 1141644 2283288 38095573 76191146 114286719 152382292 228573438 266669011 304764584 457146876 533338022 800007033 914293752 1066676044 1600014066 2133352088 3200028132 6400056264