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20535234048 = 29357171973
BaseRepresentation
bin10011000111111111…
…101100111000000000
31222000010122222100000
4103013333230320000
5314024004442143
613233405200000
71324611416010
oct230777547000
958003588300
1020535234048
11878867130a
123b91260000
131c23548184
14dcb40dc40
15802c43bd3
hex4c7fece00

20535234048 has 960 divisors, whose sum is σ = 79359920640. Its totient is φ = 5159780352.

The previous prime is 20535234043. The next prime is 20535234059. The reversal of 20535234048 is 84043253502.

20535234048 is a `hidden beast` number, since 2 + 0 + 53 + 523 + 40 + 48 = 666.

It is a super-2 number, since 2×205352340482 (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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (20535234043) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 281304540 + ... + 281304612.

It is an arithmetic number, because the mean of its divisors is an integer number (82666584).

Almost surely, 220535234048 is an apocalyptic number.

20535234048 is a gapful number since it is divisible by the number (28) 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 20535234048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39679960320).

20535234048 is an abundant number, since it is smaller than the sum of its proper divisors (58824686592).

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

20535234048 is an equidigital number, since it uses as much as digits as its factorization.

20535234048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 20535234048 in words is "twenty billion, five hundred thirty-five million, two hundred thirty-four thousand, forty-eight".