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23493298752 = 2633711199293
BaseRepresentation
bin10101111000010011…
…110100101001000000
32020122021210020021000
4111320103310221000
5341103241030002
614443114532000
71461120513240
oct257023645100
966567706230
1023493298752
119a6639a090
124677a37000
1322a5339011
1411cc21bb20
159277a261c
hex5784f4a40

23493298752 has 448 divisors, whose sum is σ = 90649958400. Its totient is φ = 5780367360.

The previous prime is 23493298739. The next prime is 23493298813. The reversal of 23493298752 is 25789239432.

23493298752 is a `hidden beast` number, since 2 + 3 + 493 + 29 + 87 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2523418 + ... + 2532710.

Almost surely, 223493298752 is an apocalyptic number.

23493298752 is a gapful number since it is divisible by the number (22) 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 23493298752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45324979200).

23493298752 is an abundant number, since it is smaller than the sum of its proper divisors (67156659648).

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

23493298752 is a wasteful number, since it uses less digits than its factorization.

23493298752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9351 (or 9335 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The spelling of 23493298752 in words is "twenty-three billion, four hundred ninety-three million, two hundred ninety-eight thousand, seven hundred fifty-two".