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23148478080 = 273457213701
BaseRepresentation
bin10101100011110000…
…011011111010000000
32012202020221112020000
4111203300123322000
5334402002244310
614345000120000
71446432550200
oct254360337200
965666845200
1023148478080
1198a9792222
1245a0466000
13224ba77410
1411984dc400
1590738d4c0
hex563c1be80

23148478080 has 960 divisors, whose sum is σ = 103709085480. Its totient is φ = 4877107200.

The previous prime is 23148478079. The next prime is 23148478081. The reversal of 23148478080 is 8087484132.

23148478080 is a `hidden beast` number, since 23 + 1 + 484 + 78 + 0 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (23148478079) and next prime (23148478081).

It can be written as a sum of positive squares in 4 ways, for example, as 18655189056 + 4493289024 = 136584^2 + 67032^2 .

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (23148478081) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 33021730 + ... + 33022430.

Almost surely, 223148478080 is an apocalyptic number.

23148478080 is a gapful number since it is divisible by the number (20) 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 23148478080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51854542740).

23148478080 is an abundant number, since it is smaller than the sum of its proper divisors (80560607400).

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

23148478080 is a wasteful number, since it uses less digits than its factorization.

23148478080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 759 (or 731 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 23148478080 in words is "twenty-three billion, one hundred forty-eight million, four hundred seventy-eight thousand, eighty".