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23135352192 = 273447197241
BaseRepresentation
bin10101100010111110…
…010111010110000000
32012201100020122220000
4111202332113112000
5334340122232232
614343410520000
71446213151251
oct254276272600
965640218800
1023135352192
1198a2337587
124597b96000
13224912cb14
141196882b28
1590614927c
hex562f97580

23135352192 has 320 divisors, whose sum is σ = 70965512640. Its totient is φ = 7478231040.

The previous prime is 23135352143. The next prime is 23135352197. The reversal of 23135352192 is 29125353132.

23135352192 is a `hidden beast` number, since 2 + 3 + 13 + 535 + 21 + 92 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23135352197) 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 39 ways as a sum of consecutive naturals, for example, 95997192 + ... + 95997432.

It is an arithmetic number, because the mean of its divisors is an integer number (221767227).

Almost surely, 223135352192 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 23135352192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35482756320).

23135352192 is an abundant number, since it is smaller than the sum of its proper divisors (47830160448).

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

23135352192 is a wasteful number, since it uses less digits than its factorization.

23135352192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511 (or 490 counting only the distinct ones).

The product of its digits is 48600, while the sum is 36.

The spelling of 23135352192 in words is "twenty-three billion, one hundred thirty-five million, three hundred fifty-two thousand, one hundred ninety-two".