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135236434104 = 23324674022021
BaseRepresentation
bin111110111110010111…
…0000011100010111000
3110221001212012122210200
41331330232003202320
54203431011342404
6142043214042200
712525166503042
oct1757456034270
9427055178720
10135236434104
1152398494622
12222624a9360
13c9a2a06155
14678cb14a92
1537b791e839
hex1f7cb838b8

135236434104 has 48 divisors (see below), whose sum is σ = 367049727720. Its totient is φ = 44982271680.

The previous prime is 135236434079. The next prime is 135236434247. The reversal of 135236434104 is 401434632531.

135236434104 is a `hidden beast` number, since 1 + 3 + 5 + 2 + 3 + 643 + 4 + 1 + 0 + 4 = 666.

It is a super-4 number, since 4×1352364341044 (a number of 46 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1977387 + ... + 2044634.

Almost surely, 2135236434104 is an apocalyptic number.

It is an amenable number.

135236434104 is an abundant number, since it is smaller than the sum of its proper divisors (231813293616).

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

135236434104 is a wasteful number, since it uses less digits than its factorization.

135236434104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4022500 (or 4022493 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 135236434104 in words is "one hundred thirty-five billion, two hundred thirty-six million, four hundred thirty-four thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 467 934 1401 1868 2802 3736 4203 5604 8406 11208 16812 33624 4022021 8044042 12066063 16088084 24132126 32176168 36198189 48264252 72396378 96528504 144792756 289585512 1878283807 3756567614 5634851421 7513135228 11269702842 15026270456 16904554263 22539405684 33809108526 45078811368 67618217052 135236434104