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23020635456 = 263471348799
BaseRepresentation
bin10101011100001000…
…110000010101000000
32012102100101110010000
4111130020300111000
5334121240313311
614324152040000
71443321113160
oct253410602500
965370343100
1023020635456
119843604165
124565693000
13222b4358b0
1411855405a0
158eb039056
hex55c230540

23020635456 has 280 divisors, whose sum is σ = 83989875200. Its totient is φ = 6071251968.

The previous prime is 23020635437. The next prime is 23020635481. The reversal of 23020635456 is 65453602032.

23020635456 is a `hidden beast` number, since 2 + 30 + 20 + 63 + 545 + 6 = 666.

It is a super-3 number, since 3×230206354563 (a number of 32 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 23020635456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 447345 + ... + 496143.

It is an arithmetic number, because the mean of its divisors is an integer number (299963840).

Almost surely, 223020635456 is an apocalyptic number.

23020635456 is a gapful number since it is divisible by the number (26) 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 23020635456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41994937600).

23020635456 is an abundant number, since it is smaller than the sum of its proper divisors (60969239744).

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

23020635456 is a wasteful number, since it uses less digits than its factorization.

23020635456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48843 (or 48824 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The spelling of 23020635456 in words is "twenty-three billion, twenty million, six hundred thirty-five thousand, four hundred fifty-six".