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23232544128 = 273220167139
BaseRepresentation
bin10101101000110001…
…000111110110000000
32012222010010112011100
4111220301013312000
5340040012403003
614401202014400
71451503236543
oct255061076600
965863115140
1023232544128
1199421902a2
124604647400
1322632cc441
1411a574285a
1590e946ba3
hex568c47d80

23232544128 has 48 divisors (see below), whose sum is σ = 66854069100. Its totient is φ = 7744180992.

The previous prime is 23232544091. The next prime is 23232544141. The reversal of 23232544128 is 82144523232.

23232544128 is a `hidden beast` number, since 2 + 3 + 232 + 5 + 4 + 412 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×232325441282 (a number of 22 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 23232544092 and 23232544101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10082418 + ... + 10084721.

Almost surely, 223232544128 is an apocalyptic number.

It is an amenable number.

23232544128 is an abundant number, since it is smaller than the sum of its proper divisors (43621524972).

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

23232544128 is a wasteful number, since it uses less digits than its factorization.

23232544128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20167159 (or 20167144 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The spelling of 23232544128 in words is "twenty-three billion, two hundred thirty-two million, five hundred forty-four thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 20167139 40334278 60501417 80668556 121002834 161337112 181504251 242005668 322674224 363008502 484011336 645348448 726017004 968022672 1290696896 1452034008 1936045344 2581393792 2904068016 3872090688 5808136032 7744181376 11616272064 23232544128