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420683107635 = 32571778558937
BaseRepresentation
bin1100001111100101010…
…10101100110100110011
31111012212010111002202100
412013302222230310303
523343024333421020
6521131550551443
742251630262240
oct6076252546463
91435763432670
10420683107635
1115245771328a
1269645b08583
13308936bc57b
141650b0a65c7
15ae225eba90
hex61f2aacd33

420683107635 has 48 divisors (see below), whose sum is σ = 882373991616. Its totient is φ = 180999788544.

The previous prime is 420683107613. The next prime is 420683107657. The reversal of 420683107635 is 536701386024.

420683107635 is a `hidden beast` number, since 4 + 2 + 0 + 6 + 8 + 3 + 1 + 0 + 7 + 635 = 666.

It is an interprime number because it is at equal distance from previous prime (420683107613) and next prime (420683107657).

It is not a de Polignac number, because 420683107635 - 28 = 420683107379 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39274114 + ... + 39284823.

It is an arithmetic number, because the mean of its divisors is an integer number (18382791492).

Almost surely, 2420683107635 is an apocalyptic number.

420683107635 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

420683107635 is an abundant number, since it is smaller than the sum of its proper divisors (461690883981).

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

420683107635 is a wasteful number, since it uses less digits than its factorization.

420683107635 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78558972 (or 78558969 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 420683107635 in words is "four hundred twenty billion, six hundred eighty-three million, one hundred seven thousand, six hundred thirty-five".

Divisors: 1 3 5 7 9 15 17 21 35 45 51 63 85 105 119 153 255 315 357 595 765 1071 1785 5355 78558937 235676811 392794685 549912559 707030433 1178384055 1335501929 1649737677 2749562795 3535152165 4006505787 4949213031 6677509645 8248688385 9348513503 12019517361 20032528935 24746065155 28045540509 46742567515 60097586805 84136621527 140227702545 420683107635