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20284860637776 = 24372340148713441
BaseRepresentation
bin1001001110010111011111…
…11010011010001001010000
32122211012202211000020200110
410213023233322122021100
510124321343310402101
6111050423014121320
74162350520342050
oct447135772321120
978735684006613
1020284860637776
116510841006429
122337412950240
13b41b14750637
14501b1485d560
152529c83a2cd6
hex1272efe9a250

20284860637776 has 320 divisors, whose sum is σ = 62781643431936. Its totient is φ = 5518098432000.

The previous prime is 20284860637759. The next prime is 20284860637807. The reversal of 20284860637776 is 67773606848202.

It is a super-2 number, since 2×202848606377762 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1509171216 + ... + 1509184656.

Almost surely, 220284860637776 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 20284860637776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31390821715968).

20284860637776 is an abundant number, since it is smaller than the sum of its proper divisors (42496782794160).

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

20284860637776 is a wasteful number, since it uses less digits than its factorization.

20284860637776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14370 (or 14364 counting only the distinct ones).

The product of its (nonzero) digits is 227598336, while the sum is 66.

The spelling of 20284860637776 in words is "twenty trillion, two hundred eighty-four billion, eight hundred sixty million, six hundred thirty-seven thousand, seven hundred seventy-six".