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136353072078 = 232971973531123
BaseRepresentation
bin111111011111101000…
…1101100001111001110
3111000221200100202010200
41332333101230033032
54213222341301303
6142350103314330
712564645663246
oct1767721541716
9430850322120
10136353072078
1152910833223
122251444b9a6
13cb20160b92
146857144b26
1538309903a3
hex1fbf46c3ce

136353072078 has 96 divisors (see below), whose sum is σ = 301110185376. Its totient is φ = 44587597824.

The previous prime is 136353072077. The next prime is 136353072091. The reversal of 136353072078 is 870270353631.

136353072078 is a `hidden beast` number, since 1 + 3 + 635 + 3 + 0 + 7 + 2 + 0 + 7 + 8 = 666.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136353072073) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 121418025 + ... + 121419147.

It is an arithmetic number, because the mean of its divisors is an integer number (3136564431).

Almost surely, 2136353072078 is an apocalyptic number.

136353072078 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

136353072078 is an abundant number, since it is smaller than the sum of its proper divisors (164757113298).

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

136353072078 is a wasteful number, since it uses less digits than its factorization.

136353072078 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1778 (or 1775 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 136353072078 in words is "one hundred thirty-six billion, three hundred fifty-three million, seventy-two thousand, seventy-eight".

Divisors: 1 2 3 6 9 18 97 194 197 291 353 394 582 591 706 873 1059 1123 1182 1746 1773 2118 2246 3177 3369 3546 6354 6738 10107 19109 20214 34241 38218 57327 68482 69541 102723 108931 114654 139082 171981 205446 208623 217862 221231 308169 326793 343962 396419 417246 442462 616338 625869 653586 663693 792838 980379 1189257 1251738 1327386 1960758 1991079 2378514 3567771 3982158 6745477 7135542 13490954 20236431 21459407 38452643 40472862 42918814 60709293 64378221 76905286 78094543 115357929 121418586 128756442 156189086 193134663 230715858 234283629 346073787 386269326 468567258 692147574 702850887 1405701774 7575170671 15150341342 22725512013 45451024026 68176536039 136353072078