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23207827104 = 25347113312
BaseRepresentation
bin10101100111010010…
…110101011010100000
32012220101121202210000
4111213102311122200
5340012200431404
614354520140000
71451053163340
oct254722653240
965811552700
1023207827104
11992a239000
1245b8307600
13225b156c97
1411a234ad20
1590c6b3339
hex5674b56a0

23207827104 has 720 divisors, whose sum is σ = 88655611968. Its totient is φ = 5833555200.

The previous prime is 23207827099. The next prime is 23207827133. The reversal of 23207827104 is 40172870232.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 748639569 + ... + 748639599.

Almost surely, 223207827104 is an apocalyptic number.

23207827104 is a gapful number since it is divisible by the number (24) 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 23207827104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44327805984).

23207827104 is an abundant number, since it is smaller than the sum of its proper divisors (65447784864).

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

23207827104 is an equidigital number, since it uses as much as digits as its factorization.

23207827104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 23207827104 in words is "twenty-three billion, two hundred seven million, eight hundred twenty-seven thousand, one hundred four".