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420657665766 = 23132967429007
BaseRepresentation
bin1100001111100010010…
…01101001011011100110
31111012210100121112001220
412013301021221123212
523343001330301031
6521125241401210
742251201106552
oct6076111513346
91435710545056
10420657665766
11152444316448
1269639499206
133088b352200
1416507962862
15ae20273596
hex61f12696e6

420657665766 has 48 divisors (see below), whose sum is σ = 911954317824. Its totient is φ = 129298976352.

The previous prime is 420657665749. The next prime is 420657665833. The reversal of 420657665766 is 667566756024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 766035 + ... + 1195041.

It is an arithmetic number, because the mean of its divisors is an integer number (18999048288).

Almost surely, 2420657665766 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420657665766, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455977158912).

420657665766 is an abundant number, since it is smaller than the sum of its proper divisors (491296652058).

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

420657665766 is a wasteful number, since it uses less digits than its factorization.

420657665766 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430005 (or 429992 counting only the distinct ones).

The product of its (nonzero) digits is 76204800, while the sum is 60.

The spelling of 420657665766 in words is "four hundred twenty billion, six hundred fifty-seven million, six hundred sixty-five thousand, seven hundred sixty-six".

Divisors: 1 2 3 6 13 26 39 78 169 338 507 967 1014 1934 2901 5802 12571 25142 37713 75426 163423 326846 429007 490269 858014 980538 1287021 2574042 5577091 11154182 16731273 33462546 72502183 145004366 217506549 414849769 435013098 829699538 1244549307 2489098614 5393046997 10786093994 16179140991 32358281982 70109610961 140219221922 210328832883 420657665766