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46157056160 = 2551811593821
BaseRepresentation
bin101010111111001011…
…001100100010100000
311102010202122101201112
4222333023030202200
51224012201244120
633112041522452
73222546334565
oct527713144240
9142122571645
1046157056160
1118636500506
128b41aa3428
13447784ab67
14233c1c086c
1513022e4bc5
hexabf2cc8a0

46157056160 has 48 divisors (see below), whose sum is σ = 109648578312. Its totient is φ = 18360806400.

The previous prime is 46157056157. The next prime is 46157056243. The reversal of 46157056160 is 6165075164.

It can be written as a sum of positive squares in 4 ways, for example, as 9060755344 + 37096300816 = 95188^2 + 192604^2 .

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 767951 + ... + 825870.

Almost surely, 246157056160 is an apocalyptic number.

46157056160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

46157056160 is an abundant number, since it is smaller than the sum of its proper divisors (63491522152).

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

46157056160 is a wasteful number, since it uses less digits than its factorization.

46157056160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1594017 (or 1594009 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 41.

The spelling of 46157056160 in words is "forty-six billion, one hundred fifty-seven million, fifty-six thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 181 362 724 905 1448 1810 2896 3620 5792 7240 14480 28960 1593821 3187642 6375284 7969105 12750568 15938210 25501136 31876420 51002272 63752840 127505680 255011360 288481601 576963202 1153926404 1442408005 2307852808 2884816010 4615705616 5769632020 9231411232 11539264040 23078528080 46157056160