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135688465278162 = 23441148713738303
BaseRepresentation
bin11110110110100001101110…
…110001011110010011010010
3122210102200122110000020020000
4132312201232301132103102
5120241104434102400122
61200330230450430430
740403111442604536
oct3666415661362322
9583380573006200
10135688465278162
113a264178293115
1213275400592416
135a934a116a694
1425714dcd45bc6
1510a487d3ac0ac
hex7b686ec5e4d2

135688465278162 has 80 divisors (see below), whose sum is σ = 311667823982592. Its totient is φ = 44096652227520.

The previous prime is 135688465278131. The next prime is 135688465278187. The reversal of 135688465278162 is 261872564886531.

135688465278162 is a `hidden beast` number, since 1 + 3 + 5 + 6 + 8 + 8 + 465 + 27 + 81 + 62 = 666.

It is a super-2 number, since 2×1356884652781622 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3007503 + ... + 16745805.

Almost surely, 2135688465278162 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135688465278162, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155833911991296).

135688465278162 is an abundant number, since it is smaller than the sum of its proper divisors (175979358704430).

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

135688465278162 is a wasteful number, since it uses less digits than its factorization.

135688465278162 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13739845 (or 13739836 counting only the distinct ones).

The product of its digits is 928972800, while the sum is 72.

The spelling of 135688465278162 in words is "one hundred thirty-five trillion, six hundred eighty-eight billion, four hundred sixty-five million, two hundred seventy-eight thousand, one hundred sixty-two".

Divisors: 1 2 3 6 9 18 27 41 54 81 82 123 162 246 369 738 1107 1487 2214 2974 3321 4461 6642 8922 13383 26766 40149 60967 80298 120447 121934 182901 240894 365802 548703 1097406 1646109 3292218 4938327 9876654 13738303 27476606 41214909 82429818 123644727 247289454 370934181 563270423 741868362 1112802543 1126540846 1689811269 2225605086 3379622538 5069433807 10138867614 15208301421 20428856561 30416602842 40857713122 45624904263 61286569683 91249808526 122573139366 183859709049 367719418098 551579127147 837583119001 1103158254294 1654737381441 1675166238002 2512749357003 3309474762882 5025498714006 7538248071009 15076496142018 22614744213027 45229488426054 67844232639081 135688465278162