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48772003392 = 26337217311093
BaseRepresentation
bin101101011011000010…
…011011011001000000
311122220000010110222000
4231123002123121000
51244341113102032
634223333144000
73344421121500
oct553302333100
9148800113860
1048772003392
1119758585022
12955178b000
1347a3525408
1425095d3a00
151406b78e7c
hexb5b09b640

48772003392 has 672 divisors, whose sum is σ = 182464496640. Its totient is φ = 12680478720.

The previous prime is 48772003381. The next prime is 48772003411. The reversal of 48772003392 is 29330027784.

48772003392 is a `hidden beast` number, since 48 + 77 + 200 + 339 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44621598 + ... + 44622690.

Almost surely, 248772003392 is an apocalyptic number.

48772003392 is a gapful number since it is divisible by the number (42) 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 48772003392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91232248320).

48772003392 is an abundant number, since it is smaller than the sum of its proper divisors (133692493248).

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

48772003392 is a wasteful number, since it uses less digits than its factorization.

48772003392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1176 (or 1153 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 48772003392 in words is "forty-eight billion, seven hundred seventy-two million, three thousand, three hundred ninety-two".