Search a number
-
+
23462827440 = 243513171732557
BaseRepresentation
bin10101110110011111…
…100101010110110000
32020120011110010110220
4111312133211112300
5341022440434230
614440105453040
71460300512503
oct256637452660
966504403426
1023462827440
119a50177588
1246697a1180
13229bc2a660
1411c816913a
15924c83d10
hex5767e55b0

23462827440 has 320 divisors, whose sum is σ = 83449408896. Its totient is φ = 5402198016.

The previous prime is 23462827417. The next prime is 23462827447. The reversal of 23462827440 is 4472826432.

It is a junction number, because it is equal to n+sod(n) for n = 23462827392 and 23462827401.

It is not an unprimeable number, because it can be changed into a prime (23462827447) 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, 9174642 + ... + 9177198.

Almost surely, 223462827440 is an apocalyptic number.

23462827440 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 23462827440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41724704448).

23462827440 is an abundant number, since it is smaller than the sum of its proper divisors (59986581456).

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

23462827440 is a wasteful number, since it uses less digits than its factorization.

23462827440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2776 (or 2770 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 42.

The spelling of 23462827440 in words is "twenty-three billion, four hundred sixty-two million, eight hundred twenty-seven thousand, four hundred forty".