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48480806648682 = 23237373919468843
BaseRepresentation
bin10110000010111110100010…
…10000100011101101101010
320100122201102202211212010200
423001133101100203231222
522323302143000224212
6251035435231253030
713132423404123102
oct1301372120435552
9210581382755120
1048480806648682
11144a165a508891
12552baa407a176
132108949aa1c75
14bd86aac72202
1559116c7866dc
hex2c17d1423b6a

48480806648682 has 48 divisors (see below), whose sum is σ = 107909572261920. Its totient is φ = 15719298781536.

The previous prime is 48480806648669. The next prime is 48480806648689. The reversal of 48480806648682 is 28684660808484.

48480806648682 is a `hidden beast` number, since 4 + 8 + 4 + 8 + 0 + 8 + 0 + 66 + 486 + 82 = 666.

It is a super-2 number, since 2×484808066486822 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 48480806648682.

It is not an unprimeable number, because it can be changed into a prime (48480806648689) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7244248 + ... + 12224595.

It is an arithmetic number, because the mean of its divisors is an integer number (2248116088790).

Almost surely, 248480806648682 is an apocalyptic number.

48480806648682 is an abundant number, since it is smaller than the sum of its proper divisors (59428765613238).

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

48480806648682 is a wasteful number, since it uses less digits than its factorization.

48480806648682 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19472627 (or 19472624 counting only the distinct ones).

The product of its (nonzero) digits is 905969664, while the sum is 72.

The spelling of 48480806648682 in words is "forty-eight trillion, four hundred eighty billion, eight hundred six million, six hundred forty-eight thousand, six hundred eighty-two".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 666 3739 7478 11217 22434 33651 67302 138343 276686 415029 830058 1245087 2490174 19468843 38937686 58406529 116813058 175219587 350439174 720347191 1440694382 2161041573 4322083146 6483124719 12966249438 72794003977 145588007954 218382011931 436764023862 655146035793 1310292071586 2693378147149 5386756294298 8080134441447 16160268882894 24240403324341 48480806648682