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23553948144 = 2431401135023
BaseRepresentation
bin10101111011111011…
…001011100111110000
32020210111220112120210
4111323323023213300
5341214302320034
614453122504120
71462455153516
oct257373134760
966714815523
1023553948144
119a97653951
124694205040
1322b4a8272c
1411d62c84b6
1592cc828e9
hex57becb9f0

23553948144 has 40 divisors (see below), whose sum is σ = 60853779712. Its totient is φ = 7850531520.

The previous prime is 23553948133. The next prime is 23553948221. The reversal of 23553948144 is 44184935532.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 23553948093 and 23553948102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 655017 + ... + 690039.

Almost surely, 223553948144 is an apocalyptic number.

23553948144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

23553948144 is an abundant number, since it is smaller than the sum of its proper divisors (37299831568).

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

23553948144 is a wasteful number, since it uses less digits than its factorization.

23553948144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49045 (or 49039 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 48.

The spelling of 23553948144 in words is "twenty-three billion, five hundred fifty-three million, nine hundred forty-eight thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 14011 28022 35023 42033 56044 70046 84066 105069 112088 140092 168132 210138 224176 280184 336264 420276 560368 672528 840552 1681104 490707253 981414506 1472121759 1962829012 2944243518 3925658024 5888487036 7851316048 11776974072 23553948144