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137734110378 = 23229436136243
BaseRepresentation
bin1000000001000110010…
…1111011110010101010
3111011111221000202112100
42000101211323302222
54224034413013003
6143135115554230
712644115423054
oct2002145736252
9434457022470
10137734110378
115345a350797
122283aa5b976
13ccb03009c7
14694871c8d4
1538b1d3bba3
hex201197bcaa

137734110378 has 48 divisors (see below), whose sum is σ = 315893841120. Its totient is φ = 43297323552.

The previous prime is 137734110377. The next prime is 137734110401. The reversal of 137734110378 is 873011437731.

137734110378 is a `hidden beast` number, since 137 + 7 + 34 + 110 + 378 = 666.

It is not an unprimeable number, because it can be changed into a prime (137734110377) 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 23 ways as a sum of consecutive naturals, for example, 3045676 + ... + 3090567.

It is an arithmetic number, because the mean of its divisors is an integer number (6581121690).

Almost surely, 2137734110378 is an apocalyptic number.

137734110378 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

137734110378 is an abundant number, since it is smaller than the sum of its proper divisors (178159730742).

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

137734110378 is a wasteful number, since it uses less digits than its factorization.

137734110378 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6136323 (or 6136320 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The spelling of 137734110378 in words is "one hundred thirty-seven billion, seven hundred thirty-four million, one hundred ten thousand, three hundred seventy-eight".

Divisors: 1 2 3 6 9 18 29 43 58 86 87 129 174 258 261 387 522 774 1247 2494 3741 7482 11223 22446 6136243 12272486 18408729 36817458 55226187 110452374 177951047 263858449 355902094 527716898 533853141 791575347 1067706282 1583150694 1601559423 2374726041 3203118846 4749452082 7651895021 15303790042 22955685063 45911370126 68867055189 137734110378