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135271504347606 = 233111229185296831
BaseRepresentation
bin11110110000011101011001…
…111101110000000111010110
3122201221211101201110022112000
4132300131121331300013112
5120212242020103110411
61155410512102540130
740331020660303434
oct3660353175600726
9581854351408460
10135271504347606
113a113360757640
1213208635137646
135a63081968073
142559266353d54
151098ac7957956
hex7b0759f701d6

135271504347606 has 64 divisors (see below), whose sum is σ = 328197748838400. Its totient is φ = 40958011303200.

The previous prime is 135271504347599. The next prime is 135271504347607. The reversal of 135271504347606 is 606743405172531.

135271504347606 is a `hidden beast` number, since 1 + 3 + 5 + 2 + 71 + 504 + 3 + 4 + 7 + 60 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135271504347607) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 91918390 + ... + 93378441.

It is an arithmetic number, because the mean of its divisors is an integer number (5128089825600).

Almost surely, 2135271504347606 is an apocalyptic number.

135271504347606 is an abundant number, since it is smaller than the sum of its proper divisors (192926244490794).

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

135271504347606 is a wasteful number, since it uses less digits than its factorization.

135271504347606 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185298082 (or 185298076 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 54.

The spelling of 135271504347606 in words is "one hundred thirty-five trillion, two hundred seventy-one billion, five hundred four million, three hundred forty-seven thousand, six hundred six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 594 1229 2458 3687 7374 11061 13519 22122 27038 33183 40557 66366 81114 121671 243342 365013 730026 185296831 370593662 555890493 1111780986 1667671479 2038265141 3335342958 4076530282 5003014437 6114795423 10006028874 12229590846 18344386269 36688772538 55033158807 110066317614 227729805299 455459610598 683189415897 1366378831794 2049568247691 2505027858289 4099136495382 5010055716578 6148704743073 7515083574867 12297409486146 15030167149734 22545250724601 45090501449202 67635752173803 135271504347606