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46883930112 = 2233523
BaseRepresentation
bin101011101010100000…
…000000000000000000
311111000102101102100000
4223222200000000000
51232004241230422
633312125200000
73246553554615
oct535240000000
9144012342300
1046883930112
1118979835688
129105400000
1345623093a6
1423aa95250c
151346024cac
hexaea800000

46883930112 has 288 divisors, whose sum is σ = 146565750240. Its totient is φ = 14948499456.

The previous prime is 46883930087. The next prime is 46883930113. The reversal of 46883930112 is 21103938864.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46883930113) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2038431733 + ... + 2038431755.

It is an arithmetic number, because the mean of its divisors is an integer number (508908855).

Almost surely, 246883930112 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 46883930112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73282875120).

46883930112 is an abundant number, since it is smaller than the sum of its proper divisors (99681820128).

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

46883930112 is an frugal number, since it uses more digits than its factorization.

46883930112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 46883930112 in words is "forty-six billion, eight hundred eighty-three million, nine hundred thirty thousand, one hundred twelve".