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91969931020 = 2251113919315583
BaseRepresentation
bin101010110100111010…
…1011100011100001100
322210101112122120110111
41111221311130130030
53001323300243040
6110130030445404
76434046341452
oct1255165343414
9283345576414
1091969931020
11360056a0460
12159a8663864
138898c9c136
1446467aa9d2
1525d429edea
hex1569d5c70c

91969931020 has 96 divisors (see below), whose sum is σ = 213323765760. Its totient is φ = 33028853760.

The previous prime is 91969931017. The next prime is 91969931051. The reversal of 91969931020 is 2013996919.

It is a super-3 number, since 3×919699310203 (a number of 34 digits) contains 333 as substring.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 5894149 + ... + 5909731.

It is an arithmetic number, because the mean of its divisors is an integer number (2222122560).

Almost surely, 291969931020 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 91969931020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106661882880).

91969931020 is an abundant number, since it is smaller than the sum of its proper divisors (121353834740).

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

91969931020 is a wasteful number, since it uses less digits than its factorization.

91969931020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15935 (or 15933 counting only the distinct ones).

The product of its (nonzero) digits is 236196, while the sum is 49.

The spelling of 91969931020 in words is "ninety-one billion, nine hundred sixty-nine million, nine hundred thirty-one thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 139 193 220 278 386 556 695 772 965 1390 1529 1930 2123 2780 3058 3860 4246 6116 7645 8492 10615 15290 15583 21230 26827 30580 31166 42460 53654 62332 77915 107308 134135 155830 171413 268270 295097 311660 342826 536540 590194 685652 857065 1180388 1475485 1714130 2166037 2950970 3007519 3428260 4332074 5901940 6015038 8664148 10830185 12030076 15037595 21660370 23826407 30075190 33082709 43320740 47652814 60150380 66165418 95305628 119132035 132330836 165413545 238264070 330827090 418045141 476528140 661654180 836090282 1672180564 2090225705 4180451410 4598496551 8360902820 9196993102 18393986204 22992482755 45984965510 91969931020