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21742586040 = 2335725884031
BaseRepresentation
bin10100001111111101…
…011000100010111000
32002010021111210220110
4110033331120202320
5324012100223130
613553255024320
71366541634450
oct241775304270
962107453813
1021742586040
11924813977a
12426966b0a0
132086714b36
1410a38d4d60
15873c32ab0
hex50ff588b8

21742586040 has 64 divisors (see below), whose sum is σ = 74546012160. Its totient is φ = 4969733760.

The previous prime is 21742586023. The next prime is 21742586051. The reversal of 21742586040 is 4068524712.

It is a self number, because there is not a number n which added to its sum of digits gives 21742586040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12941176 + ... + 12942855.

It is an arithmetic number, because the mean of its divisors is an integer number (1164781440).

Almost surely, 221742586040 is an apocalyptic number.

21742586040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21742586040 is an abundant number, since it is smaller than the sum of its proper divisors (52803426120).

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

21742586040 is a wasteful number, since it uses less digits than its factorization.

21742586040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25884052 (or 25884048 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 39.

The spelling of 21742586040 in words is "twenty-one billion, seven hundred forty-two million, five hundred eighty-six thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 25884031 51768062 77652093 103536124 129420155 155304186 181188217 207072248 258840310 310608372 362376434 388260465 517680620 543564651 621216744 724752868 776520930 905941085 1035361240 1087129302 1449505736 1553041860 1811882170 2174258604 2717823255 3106083720 3623764340 4348517208 5435646510 7247528680 10871293020 21742586040