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137518866402580 = 225131933184102197
BaseRepresentation
bin11111010001001010011011…
…001011101000110100010100
3200000220200020020122112022201
4133101022123023220310110
5121011102114244340310
61204251143423134244
740652260464501445
oct3721123313506424
9600820206575281
10137518866402580
113a8aa472a7a513
12135100b2144384
135b96c868c0cb0
1425d5d3d1372cc
1510d72abd75e3a
hex7d129b2e8d14

137518866402580 has 96 divisors (see below), whose sum is σ = 328361893695360. Its totient is φ = 47958436247040.

The previous prime is 137518866402563. The next prime is 137518866402583. The reversal of 137518866402580 is 85204668815731.

It is a super-2 number, since 2×1375188664025802 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137518866402583) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40415959 + ... + 43686238.

It is an arithmetic number, because the mean of its divisors is an integer number (3420436392660).

Almost surely, 2137518866402580 is an apocalyptic number.

137518866402580 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137518866402580 is an abundant number, since it is smaller than the sum of its proper divisors (190843027292780).

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

137518866402580 is a wasteful number, since it uses less digits than its factorization.

137518866402580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84102569 (or 84102567 counting only the distinct ones).

The product of its (nonzero) digits is 77414400, while the sum is 64.

The spelling of 137518866402580 in words is "one hundred thirty-seven trillion, five hundred eighteen billion, eight hundred sixty-six million, four hundred two thousand, five hundred eighty".

Divisors: 1 2 4 5 10 13 19 20 26 38 52 65 76 95 130 190 247 260 331 380 494 662 988 1235 1324 1655 2470 3310 4303 4940 6289 6620 8606 12578 17212 21515 25156 31445 43030 62890 81757 86060 125780 163514 327028 408785 817570 1635140 84102197 168204394 336408788 420510985 841021970 1093328561 1597941743 1682043940 2186657122 3195883486 4373314244 5466642805 6391766972 7989708715 10933285610 15979417430 20773242659 21866571220 27837827207 31958834860 41546485318 55675654414 83092970636 103866213295 111351308828 139189136035 207732426590 278378272070 361891753691 415464853180 528918716933 556756544140 723783507382 1057837433866 1447567014764 1809458768455 2115674867732 2644593584665 3618917536910 5289187169330 6875943320129 7237835073820 10578374338660 13751886640258 27503773280516 34379716600645 68759433201290 137518866402580