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23086149504 = 2731121134397
BaseRepresentation
bin10101100000000010…
…101010111110000000
32012120220122220111020
4111200002222332000
5334240023241004
614334452145440
71445045014215
oct254002527600
965526586436
1023086149504
119877590900
124583608280
13223bb935c2
141190115b0c
15901b7a8d9
hex5600aaf80

23086149504 has 192 divisors, whose sum is σ = 68016125520. Its totient is φ = 6932316160.

The previous prime is 23086149503. The next prime is 23086149511. The reversal of 23086149504 is 40594168032.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23086149503) 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 23 ways as a sum of consecutive naturals, for example, 5248234 + ... + 5252630.

Almost surely, 223086149504 is an apocalyptic number.

23086149504 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 23086149504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34008062760).

23086149504 is an abundant number, since it is smaller than the sum of its proper divisors (44929976016).

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

23086149504 is a wasteful number, since it uses less digits than its factorization.

23086149504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4549 (or 4526 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 23086149504 in words is "twenty-three billion, eighty-six million, one hundred forty-nine thousand, five hundred four".