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20232553536 = 26321317158941
BaseRepresentation
bin10010110101111101…
…000100010001000000
31221020001010012201200
4102311331010101000
5312414013203121
613143353501200
71314244603356
oct226575042100
957201105650
1020232553536
118642826a28
123b07a11800
131ba591c290
14d9d13d7d6
157d63a5a26
hex4b5f44440

20232553536 has 168 divisors, whose sum is σ = 66128136984. Its totient is φ = 5859164160.

The previous prime is 20232553501. The next prime is 20232553547. The reversal of 20232553536 is 63535523202.

20232553536 is a `hidden beast` number, since 20 + 2 + 32 + 553 + 53 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6487335936 + 13745217600 = 80544^2 + 117240^2 .

It is a super-2 number, since 2×202325535362 (a number of 21 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 20232553536.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47826 + ... + 206766.

It is an arithmetic number, because the mean of its divisors is an integer number (393619863).

Almost surely, 220232553536 is an apocalyptic number.

20232553536 is a gapful number since it is divisible by the number (26) 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 20232553536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33064068492).

20232553536 is an abundant number, since it is smaller than the sum of its proper divisors (45895583448).

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

20232553536 is a wasteful number, since it uses less digits than its factorization.

20232553536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158989 (or 158976 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 36.

The spelling of 20232553536 in words is "twenty billion, two hundred thirty-two million, five hundred fifty-three thousand, five hundred thirty-six".