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20321715408 = 2431799724979
BaseRepresentation
bin10010111011010001…
…001100010011010000
31221110020220002211020
4102323101030103100
5313104324343113
613200300515440
71316406505461
oct227321142320
957406802736
1020321715408
118689095625
123b3184bb80
131bbb239897
14daad0cd68
157de119023
hex4bb44c4d0

20321715408 has 80 divisors (see below), whose sum is σ = 55643849280. Its totient is φ = 6368790528.

The previous prime is 20321715397. The next prime is 20321715431. The reversal of 20321715408 is 80451712302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 801063 + ... + 826041.

It is an arithmetic number, because the mean of its divisors is an integer number (695548116).

Almost surely, 220321715408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20321715408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27821924640).

20321715408 is an abundant number, since it is smaller than the sum of its proper divisors (35322133872).

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

20321715408 is a wasteful number, since it uses less digits than its factorization.

20321715408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26004 (or 25998 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The spelling of 20321715408 in words is "twenty billion, three hundred twenty-one million, seven hundred fifteen thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 408 816 997 1994 2991 3988 5982 7976 11964 15952 16949 23928 24979 33898 47856 49958 50847 67796 74937 99916 101694 135592 149874 199832 203388 271184 299748 399664 406776 424643 599496 813552 849286 1198992 1273929 1698572 2547858 3397144 5095716 6794288 10191432 20382864 24904063 49808126 74712189 99616252 149424378 199232504 298848756 398465008 423369071 597697512 846738142 1195395024 1270107213 1693476284 2540214426 3386952568 5080428852 6773905136 10160857704 20321715408