Search a number
-
+
23663540992 = 287213312151
BaseRepresentation
bin10110000010011101…
…001111101100000000
32021002011010102201011
4112002131033230000
5341430331302432
614512035450304
71465255531300
oct260235175400
967064112634
1023663540992
11a0434a7653
124704a56994
1323016a4680
141206a95600
159376ce847
hex58274fb00

23663540992 has 324 divisors, whose sum is σ = 61548380208. Its totient is φ = 8999424000.

The previous prime is 23663540981. The next prime is 23663541019. The reversal of 23663540992 is 29904536632.

It is a happy number.

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 156712117 + ... + 156712267.

Almost surely, 223663540992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23663540992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30774190104).

23663540992 is an abundant number, since it is smaller than the sum of its proper divisors (37884839216).

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

23663540992 is a wasteful number, since it uses less digits than its factorization.

23663540992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 49.

The spelling of 23663540992 in words is "twenty-three billion, six hundred sixty-three million, five hundred forty thousand, nine hundred ninety-two".