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21742586048 = 264373910691
BaseRepresentation
bin10100001111111101…
…011000100011000000
32002010021111210220202
4110033331120203000
5324012100223143
613553255024332
71366541634461
oct241775304300
962107453822
1021742586048
119248139787
12426966b0a8
132086714b41
1410a38d4d68
15873c32ab8
hex50ff588c0

21742586048 has 56 divisors (see below), whose sum is σ = 44212703040. Its totient is φ = 10603111680.

The previous prime is 21742586023. The next prime is 21742586051. The reversal of 21742586048 is 84068524712.

It is a junction number, because it is equal to n+sod(n) for n = 21742585993 and 21742586011.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2028383 + ... + 2039073.

Almost surely, 221742586048 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 21742586048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22106351520).

21742586048 is an abundant number, since it is smaller than the sum of its proper divisors (22470116992).

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

21742586048 is a wasteful number, since it uses less digits than its factorization.

21742586048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11485 (or 11475 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 47.

The spelling of 21742586048 in words is "twenty-one billion, seven hundred forty-two million, five hundred eighty-six thousand, forty-eight".

Divisors: 1 2 4 8 16 32 43 64 86 172 344 688 739 1376 1478 2752 2956 5912 10691 11824 21382 23648 31777 42764 47296 63554 85528 127108 171056 254216 342112 459713 508432 684224 919426 1016864 1838852 2033728 3677704 7355408 7900649 14710816 15801298 29421632 31602596 63205192 126410384 252820768 339727907 505641536 679455814 1358911628 2717823256 5435646512 10871293024 21742586048