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23034825216 = 293213563683
BaseRepresentation
bin10101011100111110…
…111000101000000000
32012110100002100210200
4111130332320220000
5334133403401331
614325420125200
71443552532554
oct253476705000
965410070720
1023034825216
119850616137
12456a396800
1322313634c0
141187395864
158ec3dd5e6
hex55cfb8a00

23034825216 has 240 divisors, whose sum is σ = 71826090336. Its totient is φ = 7064690688.

The previous prime is 23034825181. The next prime is 23034825217. The reversal of 23034825216 is 61252843032.

23034825216 is a `hidden beast` number, since 23 + 0 + 34 + 82 + 521 + 6 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (23034825217) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33725611 + ... + 33726293.

Almost surely, 223034825216 is an apocalyptic number.

23034825216 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 23034825216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35913045168).

23034825216 is an abundant number, since it is smaller than the sum of its proper divisors (48791265120).

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

23034825216 is a wasteful number, since it uses less digits than its factorization.

23034825216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1283 (or 1264 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 23034825216 in words is "twenty-three billion, thirty-four million, eight hundred twenty-five thousand, two hundred sixteen".