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23481728550 = 23352731719157
BaseRepresentation
bin10101110111100111…
…101011111000100110
32020121111000101221000
4111313213223320212
5341042310303200
614442022534130
71460620254000
oct256747537046
966544011830
1023481728550
119a5a907235
124673b97346
1322a2b17847
1411ca889370
15926769300
hex5779ebe26

23481728550 has 768 divisors, whose sum is σ = 84637440000. Its totient is φ = 4755179520.

The previous prime is 23481728527. The next prime is 23481728579. The reversal of 23481728550 is 5582718432.

23481728550 is a `hidden beast` number, since 23 + 4 + 8 + 1 + 72 + 8 + 550 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 23481728496 and 23481728505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 149565072 + ... + 149565228.

It is an arithmetic number, because the mean of its divisors is an integer number (110205000).

Almost surely, 223481728550 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23481728550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42318720000).

23481728550 is an abundant number, since it is smaller than the sum of its proper divisors (61155711450).

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

23481728550 is a wasteful number, since it uses less digits than its factorization.

23481728550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 23481728550 in words is "twenty-three billion, four hundred eighty-one million, seven hundred twenty-eight thousand, five hundred fifty".