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48744877315680 = 253257133193137101
BaseRepresentation
bin10110001010101010011010…
…00110001101011001100000
320101120222001022101122201200
423011111031012031121200
522342114002043100210
6251401030522201200
713160462333553450
oct1305251506153140
9211528038348650
1048744877315680
111459364a517447
125573100953200
132127811cb3000
14c0739c2b3d60
15597e759e20c0
hex2c554d18d660

48744877315680 has 4608 divisors, whose sum is σ = 232095028838400. Its totient is φ = 9083363328000.

The previous prime is 48744877315669. The next prime is 48744877315691. The reversal of 48744877315680 is 8651377844784.

48744877315680 is a `hidden beast` number, since 4 + 8 + 7 + 4 + 487 + 73 + 15 + 68 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (48744877315669) and next prime (48744877315691).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 48744877315599 and 48744877315608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 482622547630 + ... + 482622547730.

It is an arithmetic number, because the mean of its divisors is an integer number (50367844800).

Almost surely, 248744877315680 is an apocalyptic number.

48744877315680 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 48744877315680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116047514419200).

48744877315680 is an abundant number, since it is smaller than the sum of its proper divisors (183350151522720).

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

48744877315680 is a wasteful number, since it uses less digits than its factorization.

48744877315680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 1011548160, while the sum is 72.

The spelling of 48744877315680 in words is "forty-eight trillion, seven hundred forty-four billion, eight hundred seventy-seven million, three hundred fifteen thousand, six hundred eighty".