Search a number
-
+
23379010560 = 210355192343
BaseRepresentation
bin10101110001011111…
…110110010000000000
32020100022201210100000
4111301133312100000
5340340011314220
614423513200000
71455232211433
oct256137662000
966308653300
1023379010560
119a07929734
124645700000
132287761b79
1411bad8b81a
1591c729390
hex5717f6400

23379010560 has 1056 divisors, whose sum is σ = 94420085760. Its totient is φ = 5518098432.

The previous prime is 23379010559. The next prime is 23379010607. The reversal of 23379010560 is 6501097332.

23379010560 is a `hidden beast` number, since 2 + 3 + 3 + 7 + 90 + 1 + 0 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 543697899 + ... + 543697941.

It is an arithmetic number, because the mean of its divisors is an integer number (89412960).

Almost surely, 223379010560 is an apocalyptic number.

23379010560 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 23379010560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47210042880).

23379010560 is an abundant number, since it is smaller than the sum of its proper divisors (71041075200).

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

23379010560 is a wasteful number, since it uses less digits than its factorization.

23379010560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The spelling of 23379010560 in words is "twenty-three billion, three hundred seventy-nine million, ten thousand, five hundred sixty".