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38804656680 = 23325107790713
BaseRepresentation
bin100100001000111100…
…000001001000101000
310201011100210210201200
4210020330001020220
51113432443003210
625454314244200
72542421065566
oct441074011050
9121140723650
1038804656680
11155032429a9
12762b726660
13387552b81a
141c41930a36
151021abb0c0
hex908f01228

38804656680 has 48 divisors (see below), whose sum is σ = 126115135380. Its totient is φ = 10347908352.

The previous prime is 38804656651. The next prime is 38804656687. The reversal of 38804656680 is 8665640883.

38804656680 is a `hidden beast` number, since 38 + 8 + 0 + 46 + 566 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 37514266596 + 1290390084 = 193686^2 + 35922^2 .

It is not an unprimeable number, because it can be changed into a prime (38804656687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53894997 + ... + 53895716.

Almost surely, 238804656680 is an apocalyptic number.

38804656680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38804656680 is an abundant number, since it is smaller than the sum of its proper divisors (87310478700).

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

38804656680 is a wasteful number, since it uses less digits than its factorization.

38804656680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107790730 (or 107790723 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 38804656680 in words is "thirty-eight billion, eight hundred four million, six hundred fifty-six thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 107790713 215581426 323372139 431162852 538953565 646744278 862325704 970116417 1077907130 1293488556 1616860695 1940232834 2155814260 2586977112 3233721390 3880465668 4311628520 4850582085 6467442780 7760931336 9701164170 12934885560 19402328340 38804656680