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48187392000 = 214353112331
BaseRepresentation
bin101100111000001100…
…010100000000000000
311121101021002010220020
4230320030110000000
51242141433021000
634045331013440
73324062034216
oct547014240000
9147337063806
1048187392000
1119488587910
129409a3a280
13470c387007
142491ad4cb6
1513c069aba0
hexb38314000

48187392000 has 960 divisors, whose sum is σ = 188435939328. Its totient is φ = 10813440000.

The previous prime is 48187391983. The next prime is 48187392059. The reversal of 48187392000 is 29378184.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1554431985 + ... + 1554432015.

Almost surely, 248187392000 is an apocalyptic number.

48187392000 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 48187392000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94217969664).

48187392000 is an abundant number, since it is smaller than the sum of its proper divisors (140248547328).

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

48187392000 is a wasteful number, since it uses less digits than its factorization.

48187392000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The spelling of 48187392000 in words is "forty-eight billion, one hundred eighty-seven million, three hundred ninety-two thousand".