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46157171000 = 2353316771313
BaseRepresentation
bin101010111111001011…
…101000100100111000
311102010202212020020212
4222333023220210320
51224012213433000
633112044210252
73222550323443
oct527713504470
9142122766225
1046157171000
1118636579816
128b41b39988
13447788b205
14233c21065a
151302318c35
hexabf2e8938

46157171000 has 256 divisors, whose sum is σ = 115116318720. Its totient is φ = 17297280000.

The previous prime is 46157170999. The next prime is 46157171003. The reversal of 46157171000 is 17175164.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46157171003) 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 63 ways as a sum of consecutive naturals, for example, 147466844 + ... + 147467156.

It is an arithmetic number, because the mean of its divisors is an integer number (449673120).

Almost surely, 246157171000 is an apocalyptic number.

46157171000 is a gapful number since it is divisible by the number (40) 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 46157171000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57558159360).

46157171000 is an abundant number, since it is smaller than the sum of its proper divisors (68959147720).

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

46157171000 is a wasteful number, since it uses less digits than its factorization.

46157171000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 32.

The spelling of 46157171000 in words is "forty-six billion, one hundred fifty-seven million, one hundred seventy-one thousand".