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136028431251 = 321011133134231
BaseRepresentation
bin111111010101111101…
…1010010001110010011
3111000010001111021122100
41332223323102032103
54212041234300001
6142253545211443
712553624405446
oct1765373221623
9430101437570
10136028431251
1152764559819
1222443790b83
13ca9ab1650b
146825d9965d
153812215586
hex1fabed2393

136028431251 has 48 divisors (see below), whose sum is σ = 200873979072. Its totient is φ = 88687872000.

The previous prime is 136028431249. The next prime is 136028431267. The reversal of 136028431251 is 152134820631.

136028431251 is a `hidden beast` number, since 1 + 3 + 60 + 284 + 312 + 5 + 1 = 666.

It is not a de Polignac number, because 136028431251 - 21 = 136028431249 is a prime.

It is not an unprimeable number, because it can be changed into a prime (136028431951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32148306 + ... + 32152536.

It is an arithmetic number, because the mean of its divisors is an integer number (4184874564).

Almost surely, 2136028431251 is an apocalyptic number.

136028431251 is a deficient number, since it is larger than the sum of its proper divisors (64845547821).

136028431251 is a wasteful number, since it uses less digits than its factorization.

136028431251 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4764 (or 4761 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 136028431251 in words is "one hundred thirty-six billion, twenty-eight million, four hundred thirty-one thousand, two hundred fifty-one".

Divisors: 1 3 9 101 113 303 313 339 909 939 1017 2817 4231 11413 12693 31613 34239 35369 38079 94839 102717 106107 284517 318321 427331 478103 1281993 1324303 1434309 3572269 3845979 3972909 4302927 10716807 11918727 32150421 48288403 133754603 144865209 149646239 401263809 434595627 448938717 1203791427 1346816151 15114270139 45342810417 136028431251