Search a number
-
+
23682991104 = 2103219211641
BaseRepresentation
bin10110000011100111…
…011100010000000000
32021010111201121020200
4112003213130100000
5342000321203404
614514012405200
71465613050203
oct260347342000
967114647220
1023682991104
11a053481823
12470b476800
132305724706
1412094b993a
15939272839
hex5839dc400

23682991104 has 264 divisors, whose sum is σ = 72437270880. Its totient is φ = 7431782400.

The previous prime is 23682991099. The next prime is 23682991139. The reversal of 23682991104 is 40119928632.

It is a self number, because there is not a number n which added to its sum of digits gives 23682991104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36946624 + ... + 36947264.

Almost surely, 223682991104 is an apocalyptic number.

23682991104 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 23682991104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36218635440).

23682991104 is an abundant number, since it is smaller than the sum of its proper divisors (48754279776).

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

23682991104 is a wasteful number, since it uses less digits than its factorization.

23682991104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 897 (or 876 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 23682991104 in words is "twenty-three billion, six hundred eighty-two million, nine hundred ninety-one thousand, one hundred four".