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20534328584 = 237111929101599
BaseRepresentation
bin10011000111111100…
…001111110100001000
31222000001221222021022
4103013330033310020
5314023242003314
613233333532012
71324600625120
oct230774176410
958001858238
1020534328584
118788102aa0
123b90aa4008
131c232bbcb3
14dcb255c80
15802b1578e
hex4c7f0fd08

20534328584 has 256 divisors, whose sum is σ = 52876800000. Its totient is φ = 7233408000.

The previous prime is 20534328547. The next prime is 20534328643. The reversal of 20534328584 is 48582343502.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34280717 + ... + 34281315.

It is an arithmetic number, because the mean of its divisors is an integer number (206550000).

Almost surely, 220534328584 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 20534328584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26438400000).

20534328584 is an abundant number, since it is smaller than the sum of its proper divisors (32342471416).

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

20534328584 is a wasteful number, since it uses less digits than its factorization.

20534328584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 772 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 44.

The spelling of 20534328584 in words is "twenty billion, five hundred thirty-four million, three hundred twenty-eight thousand, five hundred eighty-four".