Search a number
-
+
23898660864 = 2133131931127
BaseRepresentation
bin10110010000011110…
…001010000000000000
32021200112112202112120
4112100132022000000
5342421024121424
614551235124240
71504142160051
oct262036120000
967615482476
1023898660864
11a1541976a1
12476b743680
13233b307160
141229dba728
1594d174a79
hex59078a000

23898660864 has 448 divisors, whose sum is σ = 75157340160. Its totient is φ = 6688604160.

The previous prime is 23898660839. The next prime is 23898660913. The reversal of 23898660864 is 46806689832.

It is a super-2 number, since 2×238986608642 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 23898660798 and 23898660807.

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, 188178369 + ... + 188178495.

It is an arithmetic number, because the mean of its divisors is an integer number (167761920).

Almost surely, 223898660864 is an apocalyptic number.

23898660864 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 23898660864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37578670080).

23898660864 is an abundant number, since it is smaller than the sum of its proper divisors (51258679296).

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

23898660864 is a wasteful number, since it uses less digits than its factorization.

23898660864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 60.

The spelling of 23898660864 in words is "twenty-three billion, eight hundred ninety-eight million, six hundred sixty thousand, eight hundred sixty-four".