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48442507488 = 2534173073581
BaseRepresentation
bin101101000111011001…
…100000000011100000
311122001001010100120000
4231013121200003200
51243202240214423
634130523020000
73333310343154
oct550731400340
9148031110500
1048442507488
11195a9594961
12947b36a600
13475019ac1b
1424b7943064
1513d7c90843
hexb476600e0

48442507488 has 240 divisors, whose sum is σ = 151382168784. Its totient is φ = 15143915520.

The previous prime is 48442507457. The next prime is 48442507507. The reversal of 48442507488 is 88470524484.

48442507488 is a `hidden beast` number, since 4 + 8 + 442 + 50 + 74 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 13525858 + ... + 13529438.

Almost surely, 248442507488 is an apocalyptic number.

48442507488 is a gapful number since it is divisible by the number (48) 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 48442507488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75691084392).

48442507488 is an abundant number, since it is smaller than the sum of its proper divisors (102939661296).

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

48442507488 is a wasteful number, since it uses less digits than its factorization.

48442507488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3927 (or 3910 counting only the distinct ones).

The product of its (nonzero) digits is 9175040, while the sum is 54.

The spelling of 48442507488 in words is "forty-eight billion, four hundred forty-two million, five hundred seven thousand, four hundred eighty-eight".