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66682397460 = 22357613259001
BaseRepresentation
bin111110000110100101…
…001010001100010100
320101010012200202202110
4332012211022030110
52043031143204320
650344455111020
74550311012020
oct760645121424
9211105622673
1066682397460
1126309525198
1210b0b972470
136399011223
143328177380
151b042325e0
hexf8694a314

66682397460 has 96 divisors (see below), whose sum is σ = 213732594432. Its totient is φ = 15216768000.

The previous prime is 66682397429. The next prime is 66682397489. The reversal of 66682397460 is 6479328666.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 66682397460.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 127960 + ... + 386960.

It is an arithmetic number, because the mean of its divisors is an integer number (2226381192).

Almost surely, 266682397460 is an apocalyptic number.

66682397460 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66682397460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106866297216).

66682397460 is an abundant number, since it is smaller than the sum of its proper divisors (147050196972).

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

66682397460 is a wasteful number, since it uses less digits than its factorization.

66682397460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259633 (or 259631 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 57.

The spelling of 66682397460 in words is "sixty-six billion, six hundred eighty-two million, three hundred ninety-seven thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 613 1226 1839 2452 3065 3678 4291 6130 7356 8582 9195 12260 12873 17164 18390 21455 25746 36780 42910 51492 64365 85820 128730 257460 259001 518002 777003 1036004 1295005 1554006 1813007 2590010 3108012 3626014 3885015 5180020 5439021 7252028 7770030 9065035 10878042 15540060 18130070 21756084 27195105 36260140 54390210 108780420 158767613 317535226 476302839 635070452 793838065 952605678 1111373291 1587676130 1905211356 2222746582 2381514195 3175352260 3334119873 4445493164 4763028390 5556866455 6668239746 9526056780 11113732910 13336479492 16670599365 22227465820 33341198730 66682397460