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20513520324 = 223311234118311
BaseRepresentation
bin10011000110101100…
…110111101011000100
31221221121210210201000
4103012230313223010
5314002430122244
613231311533300
71324226021463
oct230654675304
957847723630
1020513520324
118777390490
123b85b2a230
131c1bbb4a0b
14dc859a9da
15800da5169
hex4c6b37ac4

20513520324 has 192 divisors, whose sum is σ = 62020546560. Its totient is φ = 5800608000.

The previous prime is 20513520323. The next prime is 20513520329. The reversal of 20513520324 is 42302531502.

It is a happy number.

20513520324 is a `hidden beast` number, since 205 + 135 + 2 + 0 + 324 = 666.

It is a super-2 number, since 2×205135203242 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (20513520323) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1111129 + ... + 1129439.

It is an arithmetic number, because the mean of its divisors is an integer number (323023680).

Almost surely, 220513520324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20513520324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31010273280).

20513520324 is an abundant number, since it is smaller than the sum of its proper divisors (41507026236).

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

20513520324 is a wasteful number, since it uses less digits than its factorization.

20513520324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18399 (or 18391 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The spelling of 20513520324 in words is "twenty billion, five hundred thirteen million, five hundred twenty thousand, three hundred twenty-four".