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12373458048 = 273372312357
BaseRepresentation
bin10111000011000001…
…11111110010000000
31011221022211210111000
423201200333302000
5200320101124143
65403450052000
7615424441500
oct134140776200
934838753430
1012373458048
11527a549196
122493a1a000
131222642113
14855473a00
154c643ebd3
hex2e183fc80

12373458048 has 384 divisors, whose sum is σ = 43870118400. Its totient is φ = 3419781120.

The previous prime is 12373458023. The next prime is 12373458089. The reversal of 12373458048 is 84085437321.

12373458048 is a `hidden beast` number, since 1 + 2 + 37 + 34 + 580 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 12373457994 and 12373458012.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5248486 + ... + 5250842.

It is an arithmetic number, because the mean of its divisors is an integer number (114245100).

Almost surely, 212373458048 is an apocalyptic number.

12373458048 is a gapful number since it is divisible by the number (18) 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 12373458048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21935059200).

12373458048 is an abundant number, since it is smaller than the sum of its proper divisors (31496660352).

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

12373458048 is a wasteful number, since it uses less digits than its factorization.

12373458048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2425 (or 2400 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 12373458048 in words is "twelve billion, three hundred seventy-three million, four hundred fifty-eight thousand, forty-eight".