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137706747886268 = 2211531231335914281
BaseRepresentation
bin11111010011111001011001…
…110010100111101010111100
3200001120122012000210210122122
4133103321121302213222330
5121022141404424330033
61204513335011302112
741001661404660221
oct3723713162475274
9601518160723578
10137706747886268
113a9721161a0a80
12135405a72aa938
135bab8c9350b52
142601083989948
1510dc106468a98
hex7d3e59ca7abc

137706747886268 has 96 divisors (see below), whose sum is σ = 268171153367040. Its totient is φ = 61340505408000.

The previous prime is 137706747886261. The next prime is 137706747886291. The reversal of 137706747886268 is 862688747607731.

It is a junction number, because it is equal to n+sod(n) for n = 137706747886192 and 137706747886201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137706747886261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9642647288 + ... + 9642661568.

It is an arithmetic number, because the mean of its divisors is an integer number (2793449514240).

Almost surely, 2137706747886268 is an apocalyptic number.

It is an amenable number.

137706747886268 is a deficient number, since it is larger than the sum of its proper divisors (130464405480772).

137706747886268 is a wasteful number, since it uses less digits than its factorization.

137706747886268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18939 (or 18937 counting only the distinct ones).

The product of its (nonzero) digits is 6372753408, while the sum is 80.

The spelling of 137706747886268 in words is "one hundred thirty-seven trillion, seven hundred six billion, seven hundred forty-seven million, eight hundred eighty-six thousand, two hundred sixty-eight".

Divisors: 1 2 4 11 22 44 53 106 212 583 1166 1231 2332 2462 3359 4924 6718 13436 13541 14281 27082 28562 36949 54164 57124 65243 73898 130486 147796 157091 178027 260972 314182 356054 628364 712108 717673 756893 1435346 1513786 1958297 2870692 3027572 3916594 4134929 7833188 8269858 8325823 16539716 16651646 17579911 33303292 35159822 45484219 47969879 70319644 90968438 95939758 181936876 191879516 193379021 219151237 386758042 438302474 527668669 773516084 876604948 931735283 1055337338 1863470566 2110674676 2410663607 2542403587 3726941132 4821327214 5084807174 9642654428 10169614348 10249088113 20498176226 27966439457 40996352452 55932878914 59050921049 111865757828 118101842098 236203684196 649560131539 1299120263078 2598240526156 3129698815597 6259397631194 12518795262388 34426686971567 68853373943134 137706747886268