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153052256115341 = 11832771879322079
BaseRepresentation
bin100010110011001101000001…
…010110111001101010001101
3202001220122121212211202220222
4202303031001112321222031
5130030102010031142331
61301303122533321125
744144442404520122
oct4263150126715215
9661818555752828
10153052256115341
1144849108570920
12151ba676a961a5
1367529c5686c0b
1429b1aa952a749
1512a639161bb7b
hex8b33415b9a8d

153052256115341 has 32 divisors (see below), whose sum is σ = 169678546329600. Its totient is φ = 136892477378880.

The previous prime is 153052256115331. The next prime is 153052256115419. The reversal of 153052256115341 is 143511652250351.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-153052256115341 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 153052256115292 and 153052256115301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153052256115331) 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 31 ways as a sum of consecutive naturals, for example, 475039940 + ... + 475362018.

It is an arithmetic number, because the mean of its divisors is an integer number (5302454572800).

Almost surely, 2153052256115341 is an apocalyptic number.

153052256115341 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

153052256115341 is a deficient number, since it is larger than the sum of its proper divisors (16626290214259).

153052256115341 is a wasteful number, since it uses less digits than its factorization.

153052256115341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324329.

The product of its (nonzero) digits is 540000, while the sum is 44.

The spelling of 153052256115341 in words is "one hundred fifty-three trillion, fifty-two billion, two hundred fifty-six million, one hundred fifteen thousand, three hundred forty-one".

Divisors: 1 11 83 277 913 1879 3047 20669 22991 155957 252901 322079 520483 1715527 3542869 5725313 26732557 43200089 89215883 294058127 475200979 605186441 981374713 6657050851 7404918289 50230474603 81454101179 167636644157 552535220633 1844003085727 13913841465031 153052256115341