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23197875240960 = 21633573143281
BaseRepresentation
bin1010100011001001011010…
…00111010000000000000000
310001010200202210220112011000
411101210231013100000000
511020033222030202320
6121200542354452000
74612663655046150
oct521445507200000
9101120683815130
1023197875240960
117434188896002
122727aa1594000
13cc371cb86624
145a2ad6d82760
152a366b245c90
hex15192d1d0000

23197875240960 has 2176 divisors, whose sum is σ = 99921651793920. Its totient is φ = 4994157772800.

The previous prime is 23197875240941. The next prime is 23197875240977. The reversal of 23197875240960 is 6904257879132.

23197875240960 is a `hidden beast` number, since 2 + 3 + 1 + 97 + 87 + 5 + 2 + 409 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 82554716020 + ... + 82554716300.

It is a 2-persistent number, because it is pandigital, and so is 2⋅23197875240960 = 46395750481920, but 3⋅23197875240960 = 69593625722880 is not.

Almost surely, 223197875240960 is an apocalyptic number.

23197875240960 is a gapful number since it is divisible by the number (20) 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 23197875240960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49960825896960).

23197875240960 is an abundant number, since it is smaller than the sum of its proper divisors (76723776552960).

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

23197875240960 is an equidigital number, since it uses as much as digits as its factorization.

23197875240960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 23197875240960 in words is "twenty-three trillion, one hundred ninety-seven billion, eight hundred seventy-five million, two hundred forty thousand, nine hundred sixty".