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23672204640 = 25365779367
BaseRepresentation
bin10110000010111110…
…010010110101100000
32021002202102121000000
4112002332102311200
5341440041022030
614512545300000
71465422263610
oct260276226540
967082377000
1023672204640
11a048384797
124707934600
132303418ba6
141207caca40
15938341860
hex582f92d60

23672204640 has 672 divisors, whose sum is σ = 97306030080. Its totient is φ = 5327741952.

The previous prime is 23672204639. The next prime is 23672204687. The reversal of 23672204640 is 4640227632.

23672204640 is a `hidden beast` number, since 2 + 3 + 6 + 7 + 2 + 2 + 0 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a junction number, because it is equal to n+sod(n) for n = 23672204595 and 23672204604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 64501737 + ... + 64502103.

It is an arithmetic number, because the mean of its divisors is an integer number (144800640).

Almost surely, 223672204640 is an apocalyptic number.

23672204640 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 23672204640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48653015040).

23672204640 is an abundant number, since it is smaller than the sum of its proper divisors (73633825440).

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

23672204640 is an equidigital number, since it uses as much as digits as its factorization.

23672204640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The spelling of 23672204640 in words is "twenty-three billion, six hundred seventy-two million, two hundred four thousand, six hundred forty".