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20347678512 = 24327196531627
BaseRepresentation
bin10010111100110100…
…001110111100110000
31221112001202011111200
4102330310032330300
5313133001203022
613203025211200
71320143261610
oct227464167460
957461664450
1020347678512
1186a1809037
123b3a490b00
131bc372a275
14db054aa40
157e1546bac
hex4bcd0ef30

20347678512 has 240 divisors, whose sum is σ = 68652629760. Its totient is φ = 5495827968.

The previous prime is 20347678487. The next prime is 20347678553. The reversal of 20347678512 is 21587674302.

20347678512 is a `hidden beast` number, since 20 + 3 + 47 + 6 + 78 + 512 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12505443 + ... + 12507069.

It is an arithmetic number, because the mean of its divisors is an integer number (286052624).

Almost surely, 220347678512 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 20347678512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34326314880).

20347678512 is an abundant number, since it is smaller than the sum of its proper divisors (48304951248).

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

20347678512 is a wasteful number, since it uses less digits than its factorization.

20347678512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2320 (or 2311 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 20347678512 in words is "twenty billion, three hundred forty-seven million, six hundred seventy-eight thousand, five hundred twelve".