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23261480588112 = 243131723147223397
BaseRepresentation
bin1010100100111111111000…
…10010011001001101010000
310001100202221120120221102020
411102133330102121031100
511022104003012304422
6121250102054051440
74620405113426064
oct522377422311520
9101322846527366
1023261480588112
117459158403808
122738292949b80
13cc9718546710
145a5c0c5b7aa4
152a514026495c
hex1527fc499350

23261480588112 has 960 divisors, whose sum is σ = 72981099577344. Its totient is φ = 6335740477440.

The previous prime is 23261480588041. The next prime is 23261480588113. The reversal of 23261480588112 is 21188508416232.

It is a happy number.

It is a super-3 number, since 3×232614805881123 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23261480588113) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 58593149898 + ... + 58593150294.

Almost surely, 223261480588112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23261480588112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36490549788672).

23261480588112 is an abundant number, since it is smaller than the sum of its proper divisors (49719618989232).

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

23261480588112 is a wasteful number, since it uses less digits than its factorization.

23261480588112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 756 (or 733 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 51.

The spelling of 23261480588112 in words is "twenty-three trillion, two hundred sixty-one billion, four hundred eighty million, five hundred eighty-eight thousand, one hundred twelve".