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23034540672 = 27331113127367
BaseRepresentation
bin10101011100111101…
…110011001010000000
32012110022112220111000
4111130331303022000
5334133320300142
614325410052000
71443550236153
oct253475631200
965408486430
1023034540672
119850441380
12456a27a000
132231293b30
14118731dc9a
158ec38414c
hex55cf73280

23034540672 has 512 divisors, whose sum is σ = 80717414400. Its totient is φ = 6375075840.

The previous prime is 23034540671. The next prime is 23034540673. The reversal of 23034540672 is 27604543032.

23034540672 is a `hidden beast` number, since 23 + 0 + 34 + 540 + 67 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (23034540671) and next prime (23034540673).

It is a super-3 number, since 3×230345406723 (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 not an unprimeable number, because it can be changed into a prime (23034540671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 62764233 + ... + 62764599.

It is an arithmetic number, because the mean of its divisors is an integer number (157651200).

Almost surely, 223034540672 is an apocalyptic number.

23034540672 is a gapful number since it is divisible by the number (22) 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 23034540672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40358707200).

23034540672 is an abundant number, since it is smaller than the sum of its proper divisors (57682873728).

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

23034540672 is a wasteful number, since it uses less digits than its factorization.

23034540672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The spelling of 23034540672 in words is "twenty-three billion, thirty-four million, five hundred forty thousand, six hundred seventy-two".