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48712891104 = 2533315933067
BaseRepresentation
bin101101010111100000…
…111011101011100000
311122201212220021011000
4231113200323223200
51244231000003404
634213422152000
73343102512453
oct552740735340
9148655807130
1048712891104
1119728180099
129535a22600
1347941c9527
14250180749a
15140189e339
hexb5783bae0

48712891104 has 192 divisors, whose sum is σ = 146957690880. Its totient is φ = 15682222080.

The previous prime is 48712891103. The next prime is 48712891133. The reversal of 48712891104 is 40119821784.

It is a self number, because there is not a number n which added to its sum of digits gives 48712891104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48712891103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15881379 + ... + 15884445.

It is an arithmetic number, because the mean of its divisors is an integer number (765404640).

Almost surely, 248712891104 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 48712891104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73478845440).

48712891104 is an abundant number, since it is smaller than the sum of its proper divisors (98244799776).

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

48712891104 is a wasteful number, since it uses less digits than its factorization.

48712891104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3710 (or 3696 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The spelling of 48712891104 in words is "forty-eight billion, seven hundred twelve million, eight hundred ninety-one thousand, one hundred four".