Search a number
-
+
23973340608 = 2634731101211
BaseRepresentation
bin10110010100111011…
…000010010111000000
32021212202001212220000
4112110323002113000
5343044133344413
615002503520000
71506040014210
oct262473022700
967782055800
1023973340608
11a192364698
124790759000
132350923a59
141235c9a240
159549c7073
hex594ec25c0

23973340608 has 560 divisors, whose sum is σ = 85067778048. Its totient is φ = 6531840000.

The previous prime is 23973340549. The next prime is 23973340621. The reversal of 23973340608 is 80604337932.

23973340608 is a `hidden beast` number, since 2 + 3 + 9 + 7 + 3 + 34 + 0 + 608 = 666.

It is a super-3 number, since 3×239733406083 (a number of 32 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 113617623 + ... + 113617833.

Almost surely, 223973340608 is an apocalyptic number.

23973340608 is a gapful number since it is divisible by the number (28) 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 23973340608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42533889024).

23973340608 is an abundant number, since it is smaller than the sum of its proper divisors (61094437440).

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

23973340608 is a wasteful number, since it uses less digits than its factorization.

23973340608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 23973340608 in words is "twenty-three billion, nine hundred seventy-three million, three hundred forty thousand, six hundred eight".