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137090418374 = 27132950235171
BaseRepresentation
bin111111110101100111…
…0011100011011000110
3111002212001210211002202
41333223032130123012
54221230121341444
6142551203234502
712622141221020
oct1775316343306
9432761724082
10137090418374
1153159a70428
122269b378a32
13cc09b47c70
1468c7041010
15387558d34e
hex1feb39c6c6

137090418374 has 64 divisors (see below), whose sum is σ = 261920010240. Its totient is φ = 52342899840.

The previous prime is 137090418347. The next prime is 137090418397. The reversal of 137090418374 is 473814090731.

137090418374 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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, 26508809 + ... + 26513979.

It is an arithmetic number, because the mean of its divisors is an integer number (4092500160).

Almost surely, 2137090418374 is an apocalyptic number.

137090418374 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

137090418374 is a deficient number, since it is larger than the sum of its proper divisors (124829591866).

137090418374 is a wasteful number, since it uses less digits than its factorization.

137090418374 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10245.

The product of its (nonzero) digits is 508032, while the sum is 47.

The spelling of 137090418374 in words is "one hundred thirty-seven billion, ninety million, four hundred eighteen thousand, three hundred seventy-four".

Divisors: 1 2 7 13 14 26 29 58 91 182 203 377 406 754 2639 5023 5171 5278 10046 10342 35161 36197 65299 67223 70322 72394 130598 134446 145667 149959 291334 299918 457093 470561 914186 941122 1019669 1049713 1893671 1949467 2039338 2099426 3787342 3898934 13255697 13646269 25973933 26511394 27292538 51947866 181817531 337661129 363635062 675322258 753244057 1506488114 2363627903 4727255806 5272708399 9792172741 10545416798 19584345482 68545209187 137090418374