Search a number
-
+
23123981952 = 273329474909
BaseRepresentation
bin10101100010010010…
…111111011010000000
32012200112211222212000
4111202102333122000
5334324214410302
614342323104000
71446014414001
oct254222773200
965615758760
1023123981952
119896980995
124594212000
13224697b676
1411951631a8
1590515031c
hex5624bf680

23123981952 has 256 divisors, whose sum is σ = 72118080000. Its totient is φ = 7282372608.

The previous prime is 23123981899. The next prime is 23123982043. The reversal of 23123981952 is 25918932132.

It is a junction number, because it is equal to n+sod(n) for n = 23123981898 and 23123981907.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4708074 + ... + 4712982.

It is an arithmetic number, because the mean of its divisors is an integer number (281711250).

Almost surely, 223123981952 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 23123981952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36059040000).

23123981952 is an abundant number, since it is smaller than the sum of its proper divisors (48994098048).

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

23123981952 is a wasteful number, since it uses less digits than its factorization.

23123981952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5008 (or 4990 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The spelling of 23123981952 in words is "twenty-three billion, one hundred twenty-three million, nine hundred eighty-one thousand, nine hundred fifty-two".