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6400904717268 = 22356585292919
BaseRepresentation
bin101110100100101001110…
…1001101110001111010100
3211122220212001111022200000
41131021103221232033110
51314333023101423033
621340311322251300
71230310246245645
oct135112351561724
924586761438600
106400904717268
112048676929276
12874656056b30
133757ab2569a9
14181b3c1b96cc
15b177eee0a13
hex5d253a6e3d4

6400904717268 has 36 divisors (see below), whose sum is σ = 16779326360160. Its totient is φ = 2133634905432.

The previous prime is 6400904717239. The next prime is 6400904717281. The reversal of 6400904717268 is 8627174090046.

6400904717268 is a `hidden beast` number, since 6 + 40 + 0 + 9 + 0 + 471 + 72 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3292645488 + ... + 3292647431.

Almost surely, 26400904717268 is an apocalyptic number.

It is an amenable number.

6400904717268 is an abundant number, since it is smaller than the sum of its proper divisors (10378421642892).

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

6400904717268 is a wasteful number, since it uses less digits than its factorization.

6400904717268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6585292938 (or 6585292924 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 6400904717268 in words is "six trillion, four hundred billion, nine hundred four million, seven hundred seventeen thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 972 6585292919 13170585838 19755878757 26341171676 39511757514 59267636271 79023515028 118535272542 177802908813 237070545084 355605817626 533408726439 711211635252 1066817452878 1600226179317 2133634905756 3200452358634 6400904717268