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137637763890 = 23511439699631
BaseRepresentation
bin1000000000101111011…
…0011001101100110010
3111011021012201211222220
42000023312121230302
54223340231421030
6143121354541510
712641535455364
oct2001366315462
9434235654886
10137637763890
115340aa251a0
1222812737896
13cc96369153
1469399dcd34
1538a8659a10
hex200bd99b32

137637763890 has 64 divisors (see below), whose sum is σ = 368741210112. Its totient is φ = 32590756800.

The previous prime is 137637763889. The next prime is 137637763891. The reversal of 137637763890 is 98367736731.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (137637763889) and next prime (137637763891).

It is not an unprimeable number, because it can be changed into a prime (137637763891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4835626 + ... + 4864005.

It is an arithmetic number, because the mean of its divisors is an integer number (5761581408).

Almost surely, 2137637763890 is an apocalyptic number.

137637763890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

137637763890 is an abundant number, since it is smaller than the sum of its proper divisors (231103446222).

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

137637763890 is a wasteful number, since it uses less digits than its factorization.

137637763890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9699695.

The product of its (nonzero) digits is 24004512, while the sum is 60.

The spelling of 137637763890 in words is "one hundred thirty-seven billion, six hundred thirty-seven million, seven hundred sixty-three thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 43 55 66 86 110 129 165 215 258 330 430 473 645 946 1290 1419 2365 2838 4730 7095 14190 9699631 19399262 29098893 48498155 58197786 96996310 106695941 145494465 213391882 290988930 320087823 417084133 533479705 640175646 834168266 1066959410 1251252399 1600439115 2085420665 2502504798 3200878230 4170841330 4587925463 6256261995 9175850926 12512523990 13763776389 22939627315 27527552778 45879254630 68818881945 137637763890