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23053097340 = 22345713223523
BaseRepresentation
bin10101011110000100…
…100101100101111100
32012111121110200110000
4111132010211211330
5334203043103330
614331311514300
71444164044220
oct253604454574
965447420400
1023053097340
11985a966269
124574528990
132235090300
141189990780
158edcec560
hex55e12597c

23053097340 has 720 divisors, whose sum is σ = 93566043648. Its totient is φ = 4643578368.

The previous prime is 23053097303. The next prime is 23053097357. The reversal of 23053097340 is 4379035032.

23053097340 is a `hidden beast` number, since 2 + 3 + 0 + 5 + 309 + 7 + 340 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 23053097295 and 23053097304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 44078319 + ... + 44078841.

Almost surely, 223053097340 is an apocalyptic number.

23053097340 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 23053097340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46783021824).

23053097340 is an abundant number, since it is smaller than the sum of its proper divisors (70512946308).

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

23053097340 is a wasteful number, since it uses less digits than its factorization.

23053097340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 36.

The spelling of 23053097340 in words is "twenty-three billion, fifty-three million, ninety-seven thousand, three hundred forty".