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20059735990968 = 23321914663549701
BaseRepresentation
bin1001000111110100001010…
…11100000010001010111000
32122000200200111021021002200
410203322011130002022320
510112124314403202333
6110355152051430200
74140160646406642
oct443720534021270
978020614237080
1020059735990968
116434317013213
1222bb864bb5360
13b26818134c5b
144d4c79a29892
1524bbee338c13
hex123e857022b8

20059735990968 has 48 divisors (see below), whose sum is σ = 57187843837800. Its totient is φ = 6334653470400.

The previous prime is 20059735990961. The next prime is 20059735990979. The reversal of 20059735990968 is 86909953795002.

It is a happy number.

20059735990968 is a `hidden beast` number, since 20 + 0 + 5 + 9 + 7 + 3 + 599 + 0 + 9 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 20059735990896 and 20059735990905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20059735990961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7331773483 + ... + 7331776218.

Almost surely, 220059735990968 is an apocalyptic number.

It is an amenable number.

20059735990968 is an abundant number, since it is smaller than the sum of its proper divisors (37128107846832).

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

20059735990968 is a wasteful number, since it uses less digits than its factorization.

20059735990968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14663549732 (or 14663549725 counting only the distinct ones).

The product of its (nonzero) digits is 330674400, while the sum is 72.

The spelling of 20059735990968 in words is "twenty trillion, fifty-nine billion, seven hundred thirty-five million, nine hundred ninety thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 228 342 456 684 1368 14663549701 29327099402 43990649103 58654198804 87981298206 117308397608 131971947309 175962596412 263943894618 278607444319 351925192824 527887789236 557214888638 835822332957 1055775578472 1114429777276 1671644665914 2228859554552 2507466998871 3343289331828 5014933997742 6686578663656 10029867995484 20059735990968