Search a number
-
+
23943401855760 = 243517192857108109
BaseRepresentation
bin1010111000110110000011…
…11101100101101100010000
310010202222002211202120122110
411130123001331211230100
511114242041333341020
6122531240313305320
75020565550524112
oct534330175455420
9103688084676573
1023943401855760
1176a1381165192
122828484a05240
131048b1237799a
145cac1c8393b2
152b7c520b08e0
hex15c6c1f65b10

23943401855760 has 320 divisors, whose sum is σ = 82756769299200. Its totient is φ = 5690998849536.

The previous prime is 23943401855749. The next prime is 23943401855767. The reversal of 23943401855760 is 6755810434932.

It is a super-2 number, since 2×239434018557602 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 23943401855760.

It is not an unprimeable number, because it can be changed into a prime (23943401855767) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 221420586 + ... + 221528694.

It is an arithmetic number, because the mean of its divisors is an integer number (258614904060).

It is a 1-persistent number, because it is pandigital, but 2⋅23943401855760 = 47886803711520 is not.

Almost surely, 223943401855760 is an apocalyptic number.

23943401855760 is a gapful number since it is divisible by the number (20) 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 23943401855760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41378384649600).

23943401855760 is an abundant number, since it is smaller than the sum of its proper divisors (58813367443440).

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

23943401855760 is a wasteful number, since it uses less digits than its factorization.

23943401855760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111018 (or 111012 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 57.

The spelling of 23943401855760 in words is "twenty-three trillion, nine hundred forty-three billion, four hundred one million, eight hundred fifty-five thousand, seven hundred sixty".