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135685802561672 = 231143154387232259
BaseRepresentation
bin11110110110011111010000…
…000100000001000010001000
3122210102102202212122012212202
4132312133100010001002020
5120241034010423433142
61200325110331255332
740402655451103646
oct3666372004010210
9583372685565782
10135685802561672
113a263031251880
12132749988aa548
135a931686091ac
14257132945a196
1510a477473e032
hex7b67d0101088

135685802561672 has 64 divisors (see below), whose sum is σ = 283996602489600. Its totient is φ = 60240404427840.

The previous prime is 135685802561663. The next prime is 135685802561677. The reversal of 135685802561672 is 276165208586531.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 135685802561599 and 135685802561608.

It is not an unprimeable number, because it can be changed into a prime (135685802561677) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 584084279 + ... + 584316537.

It is an arithmetic number, because the mean of its divisors is an integer number (4437446913900).

Almost surely, 2135685802561672 is an apocalyptic number.

It is an amenable number.

135685802561672 is an abundant number, since it is smaller than the sum of its proper divisors (148310799927928).

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

135685802561672 is a wasteful number, since it uses less digits than its factorization.

135685802561672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386706 (or 386702 counting only the distinct ones).

The product of its (nonzero) digits is 145152000, while the sum is 65.

The spelling of 135685802561672 in words is "one hundred thirty-five trillion, six hundred eighty-five billion, eight hundred two million, five hundred sixty-one thousand, six hundred seventy-two".

Divisors: 1 2 4 8 11 22 43 44 86 88 172 344 473 946 1892 3784 154387 232259 308774 464518 617548 929036 1235096 1698257 1858072 2554849 3396514 5109698 6638641 6793028 9987137 10219396 13277282 13586056 19974274 20438792 26554564 39948548 53109128 73025051 79897096 109858507 146050102 219717014 292100204 439434028 584200408 878868056 35857770233 71715540466 143431080932 286862161864 394435472563 788870945126 1541884120019 1577741890252 3083768240038 3155483780504 6167536480076 12335072960152 16960725320209 33921450640418 67842901280836 135685802561672