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23292149760 = 21732511359
BaseRepresentation
bin10101101100010100…
…100000000000000000
32020010021021210201100
4111230110200000000
5340200242243020
614411131334400
71453126002105
oct255424400000
966107253640
1023292149760
1199728a1950
1246205b1400
13227276ba49
1411ad61aaac
15914cbca90
hex56c520000

23292149760 has 432 divisors, whose sum is σ = 88331705280. Its totient is φ = 5630853120.

The previous prime is 23292149753. The next prime is 23292149773. The reversal of 23292149760 is 6794129232.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64880461 + ... + 64880819.

It is an arithmetic number, because the mean of its divisors is an integer number (204471540).

Almost surely, 223292149760 is an apocalyptic number.

23292149760 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 23292149760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44165852640).

23292149760 is an abundant number, since it is smaller than the sum of its proper divisors (65039555520).

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

23292149760 is an equidigital number, since it uses as much as digits as its factorization.

23292149760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

It can be divided in two parts, 2329 and 2149760, that added together give a square (2152089 = 14672).

The spelling of 23292149760 in words is "twenty-three billion, two hundred ninety-two million, one hundred forty-nine thousand, seven hundred sixty".