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21660365434660 = 2253497829396373
BaseRepresentation
bin1001110110011001100100…
…11000110010111100100100
32211200201012002221210111021
410323030302120302330210
510314340412022402120
6114022345015420524
74363624022243551
oct473146230627444
984621162853437
1021660365434660
1169a112266aaa7
122519b10684744
13c11743595584
1454c51db65a28
15278680d04aaa
hex13b332632f24

21660365434660 has 48 divisors (see below), whose sum is σ = 45623043774000. Its totient is φ = 8638195244544.

The previous prime is 21660365434637. The next prime is 21660365434661. The reversal of 21660365434660 is 6643456306612.

It can be written as a sum of positive squares in 8 ways, for example, as 2021765484544 + 19638599950116 = 1421888^2 + 4431546^2 .

It is a junction number, because it is equal to n+sod(n) for n = 21660365434598 and 21660365434607.

It is not an unprimeable number, because it can be changed into a prime (21660365434661) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54448234 + ... + 54844606.

It is an arithmetic number, because the mean of its divisors is an integer number (950480078625).

Almost surely, 221660365434660 is an apocalyptic number.

21660365434660 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21660365434660 is an abundant number, since it is smaller than the sum of its proper divisors (23962678339340).

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

21660365434660 is a wasteful number, since it uses less digits than its factorization.

21660365434660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404560 (or 404558 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 52.

The spelling of 21660365434660 in words is "twenty-one trillion, six hundred sixty billion, three hundred sixty-five million, four hundred thirty-four thousand, six hundred sixty".

Divisors: 1 2 4 5 10 20 349 698 1396 1745 3490 6980 7829 15658 31316 39145 78290 156580 396373 792746 1585492 1981865 2732321 3963730 5464642 7927460 10929284 13661605 27323210 54646420 138334177 276668354 553336708 691670885 1383341770 2766683540 3103204217 6206408434 12412816868 15516021085 31032042170 62064084340 1083018271733 2166036543466 4332073086932 5415091358665 10830182717330 21660365434660