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48918707136 = 2635131743331
BaseRepresentation
bin101101100011110010…
…000011101111000000
311200021020011210200000
4231203302003233000
51300141142112021
634250053400000
73351152102265
oct554362035700
9150236153600
1048918707136
1119823375792
129592939000
1347c7a3bb70
142520ca126c
1514149a6b26
hexb63c83bc0

48918707136 has 672 divisors, whose sum is σ = 170175253248. Its totient is φ = 13795246080.

The previous prime is 48918707113. The next prime is 48918707147. The reversal of 48918707136 is 63170781984.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 147790491 + ... + 147790821.

It is an arithmetic number, because the mean of its divisors is an integer number (253236984).

Almost surely, 248918707136 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 48918707136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85087626624).

48918707136 is an abundant number, since it is smaller than the sum of its proper divisors (121256546112).

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

48918707136 is a wasteful number, since it uses less digits than its factorization.

48918707136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 48918707136 in words is "forty-eight billion, nine hundred eighteen million, seven hundred seven thousand, one hundred thirty-six".