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20347948764 = 22341113312457
BaseRepresentation
bin10010111100110101…
…010000111011011100
31221112002020220020000
4102330311100323130
5313133033330024
613203035054300
71320145465533
oct227465207334
957462226200
1020347948764
1186a1983090
123b3a5a1390
131bc37c3290
14db05bb31a
157e159bcc9
hex4bcd50edc

20347948764 has 360 divisors, whose sum is σ = 64715367024. Its totient is φ = 5496076800.

The previous prime is 20347948741. The next prime is 20347948781. The reversal of 20347948764 is 46784974302.

20347948764 is a `hidden beast` number, since 2 + 0 + 34 + 79 + 487 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 20347948764.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 44524824 + ... + 44525280.

Almost surely, 220347948764 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 20347948764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32357683512).

20347948764 is an abundant number, since it is smaller than the sum of its proper divisors (44367418260).

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

20347948764 is a wasteful number, since it uses less digits than its factorization.

20347948764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 20347948764 in words is "twenty billion, three hundred forty-seven million, nine hundred forty-eight thousand, seven hundred sixty-four".