Search a number
-
+
23460445768704 = 21037192329312777
BaseRepresentation
bin1010101010110010011111…
…00010010100110000000000
310002001210111210200100112220
411111121033202110300000
511033333443104044304
6121521325140251040
74640650500521640
oct525311742246000
9102053453610486
1023460445768704
11752557902985a
12276a95b9a0a80
131012406356bc9
145b16c5086520
152aa3d792aad9
hex15564f894c00

23460445768704 has 1408 divisors, whose sum is σ = 83851827609600. Its totient is φ = 5673422684160.

The previous prime is 23460445768693. The next prime is 23460445768741. The reversal of 23460445768704 is 40786754406432.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8448124564 + ... + 8448127340.

Almost surely, 223460445768704 is an apocalyptic number.

23460445768704 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 23460445768704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41925913804800).

23460445768704 is an abundant number, since it is smaller than the sum of its proper divisors (60391381840896).

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

23460445768704 is a wasteful number, since it uses less digits than its factorization.

23460445768704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2909 (or 2891 counting only the distinct ones).

The product of its (nonzero) digits is 108380160, while the sum is 60.

The spelling of 23460445768704 in words is "twenty-three trillion, four hundred sixty billion, four hundred forty-five million, seven hundred sixty-eight thousand, seven hundred four".