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23141685504 = 283723183239
BaseRepresentation
bin10101100011010110…
…100001100100000000
32012201210011102120010
4111203112201210000
5334343232414004
614344154344520
71446321036600
oct254326414400
965653142503
1023141685504
1198a5972923
12459a12b140
13224a539742
141197650c00
1590699aa89
hex5635a1900

23141685504 has 432 divisors, whose sum is σ = 75161640960. Its totient is φ = 6295080960.

The previous prime is 23141685503. The next prime is 23141685551. The reversal of 23141685504 is 40558614132.

It is not an unprimeable number, because it can be changed into a prime (23141685503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 96827017 + ... + 96827255.

It is an arithmetic number, because the mean of its divisors is an integer number (173985280).

Almost surely, 223141685504 is an apocalyptic number.

23141685504 is a gapful number since it is divisible by the number (24) 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 23141685504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37580820480).

23141685504 is an abundant number, since it is smaller than the sum of its proper divisors (52019955456).

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

23141685504 is a wasteful number, since it uses less digits than its factorization.

23141685504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

It can be divided in two parts, 23141 and 685504, that added together give a triangular number (708645 = T1190).

The spelling of 23141685504 in words is "twenty-three billion, one hundred forty-one million, six hundred eighty-five thousand, five hundred four".