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23485460592400 = 24522423092
BaseRepresentation
bin1010101011100001000101…
…00010010011011100010000
310002011012002010111001122121
411111300202202103130100
511034241210402424100
6121541023250544024
74642524415153042
oct525604242233420
9102135063431577
1023485460592400
117535145270074
122773781298014
131014891980731
145b29b93aba92
152aad9da7a51a
hex155c22893710

23485460592400 has 45 divisors (see below), whose sum is σ = 56424051933151. Its totient is φ = 9394145467520.

The previous prime is 23485460592397. The next prime is 23485460592403. The reversal of 23485460592400 is 429506458432.

The square root of 23485460592400 is 4846180.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (23485460592397) and next prime (23485460592403).

It can be written as a sum of positive squares in 4 ways, for example, as 4484788823824 + 19000671768576 = 2117732^2 + 4358976^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (23485460592403) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 96802446 + ... + 97044754.

Almost surely, 223485460592400 is an apocalyptic number.

23485460592400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

23485460592400 is the 4846180-th square number.

It is an amenable number.

23485460592400 is an abundant number, since it is smaller than the sum of its proper divisors (32938591340751).

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

23485460592400 is an frugal number, since it uses more digits than its factorization.

23485460592400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484636 (or 242316 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 52.

The spelling of 23485460592400 in words is "twenty-three trillion, four hundred eighty-five billion, four hundred sixty million, five hundred ninety-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 242309 484618 969236 1211545 1938472 2423090 3876944 4846180 6057725 9692360 12115450 19384720 24230900 48461800 96923600 58713651481 117427302962 234854605924 293568257405 469709211848 587136514810 939418423696 1174273029620 1467841287025 2348546059240 2935682574050 4697092118480 5871365148100 11742730296200 23485460592400