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136257260652 = 223223164561909
BaseRepresentation
bin111111011100110010…
…0001100110001101100
3111000201000002000120100
41332321210030301230
54213023324320102
6142332401551100
712562403414532
oct1767144146154
9430630060510
10136257260652
1152871742727
12224a8345490
13cb06355a26
146848524152
153827366a1c
hex1fb990cc6c

136257260652 has 36 divisors (see below), whose sum is σ = 359403211440. Its totient is φ = 43444343712.

The previous prime is 136257260651. The next prime is 136257260653. The reversal of 136257260652 is 256062752631.

136257260652 is a `hidden beast` number, since 1 + 36 + 2 + 5 + 7 + 2 + 606 + 5 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (136257260651) and next prime (136257260653).

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 136257260598 and 136257260607.

It is not an unprimeable number, because it can be changed into a prime (136257260651) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 82280127 + ... + 82281782.

It is an arithmetic number, because the mean of its divisors is an integer number (9983422540).

Almost surely, 2136257260652 is an apocalyptic number.

136257260652 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

136257260652 is an abundant number, since it is smaller than the sum of its proper divisors (223145950788).

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

136257260652 is a wasteful number, since it uses less digits than its factorization.

136257260652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164561942 (or 164561937 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 136257260652 in words is "one hundred thirty-six billion, two hundred fifty-seven million, two hundred sixty thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 828 164561909 329123818 493685727 658247636 987371454 1481057181 1974742908 2962114362 3784923907 5924228724 7569847814 11354771721 15139695628 22709543442 34064315163 45419086884 68128630326 136257260652