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48688801920 = 273651153179
BaseRepresentation
bin101101010110000101…
…000010100010000000
311122200012120102000000
4231112011002202000
51244203313130140
634211202000000
73342360662553
oct552605024200
9148605512000
1048688801920
1119715617580
129529946000
13478c213a85
1424dc53669a
1513ee6e1a30
hexb56142880

48688801920 has 896 divisors, whose sum is σ = 195055905600. Its totient is φ = 11515944960.

The previous prime is 48688801919. The next prime is 48688801921. The reversal of 48688801920 is 2910888684.

48688801920 is a `hidden beast` number, since 486 + 88 + 80 + 1 + 9 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (48688801919) and next prime (48688801921).

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

It is not an unprimeable number, because it can be changed into a prime (48688801921) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 272004391 + ... + 272004569.

Almost surely, 248688801920 is an apocalyptic number.

48688801920 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 48688801920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97527952800).

48688801920 is an abundant number, since it is smaller than the sum of its proper divisors (146367103680).

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

48688801920 is a wasteful number, since it uses less digits than its factorization.

48688801920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 54.

The spelling of 48688801920 in words is "forty-eight billion, six hundred eighty-eight million, eight hundred one thousand, nine hundred twenty".