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23002754040 = 233257210112911
BaseRepresentation
bin10101011011000100…
…100010101111111000
32012101002201222102100
4111123010202233320
5334102201112130
614322312503400
71443013116600
oct253304425770
965332658370
1023002754040
119834500632
12455b6aab60
132227814886
141183007c00
158e96a5c60
hex55b122bf8

23002754040 has 288 divisors, whose sum is σ = 87832330560. Its totient is φ = 5205312000.

The previous prime is 23002754039. The next prime is 23002754083. The reversal of 23002754040 is 4045720032.

23002754040 is a `hidden beast` number, since 230 + 0 + 27 + 5 + 404 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 23002753995 and 23002754013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1775185 + ... + 1788095.

It is an arithmetic number, because the mean of its divisors is an integer number (304973370).

Almost surely, 223002754040 is an apocalyptic number.

23002754040 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 23002754040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43916165280).

23002754040 is an abundant number, since it is smaller than the sum of its proper divisors (64829576520).

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

23002754040 is a wasteful number, since it uses less digits than its factorization.

23002754040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13043 (or 13029 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The spelling of 23002754040 in words is "twenty-three billion, two million, seven hundred fifty-four thousand, forty".