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115682056920 = 23325476837001
BaseRepresentation
bin110101110111100110…
…0000001101011011000
3102001121002012101010200
41223233030001223120
53343404101310140
6125051003542200
711233465155033
oct1535714015330
9361532171120
10115682056920
1145073561621
121a50582a960
13aba7754a71
145855aac01a
153020d7a030
hex1aef301ad8

115682056920 has 96 divisors (see below), whose sum is σ = 383966032320. Its totient is φ = 30192192000.

The previous prime is 115682056913. The next prime is 115682056949. The reversal of 115682056920 is 29650286511.

115682056920 is a `hidden beast` number, since 1 + 1 + 5 + 6 + 82 + 0 + 569 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 3401581 + ... + 3435420.

It is an arithmetic number, because the mean of its divisors is an integer number (3999646170).

Almost surely, 2115682056920 is an apocalyptic number.

115682056920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

115682056920 is an abundant number, since it is smaller than the sum of its proper divisors (268283975400).

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

115682056920 is a wasteful number, since it uses less digits than its factorization.

115682056920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6837065 (or 6837058 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 115682056920 in words is "one hundred fifteen billion, six hundred eighty-two million, fifty-six thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 47 60 72 90 94 120 141 180 188 235 282 360 376 423 470 564 705 846 940 1128 1410 1692 1880 2115 2820 3384 4230 5640 8460 16920 6837001 13674002 20511003 27348004 34185005 41022006 54696008 61533009 68370010 82044012 102555015 123066018 136740020 164088024 205110030 246132036 273480040 307665045 321339047 410220060 492264072 615330090 642678094 820440120 964017141 1230660180 1285356188 1606695235 1928034282 2461320360 2570712376 2892051423 3213390470 3856068564 4820085705 5784102846 6426780940 7712137128 9640171410 11568205692 12853561880 14460257115 19280342820 23136411384 28920514230 38560685640 57841028460 115682056920