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34115087193252 = 223131911509813493
BaseRepresentation
bin1111100000111000010011…
…01001110101010010100100
311110210101000002020122000020
413300130021221311102210
513432420144310141002
6200320131003115140
710120506443403102
oct760341151652244
9143711002218006
1034115087193252
11a96314438437a
1239ab895812ab0
1316060676719b0
1485d27138ac72
153e26297a82bc
hex1f0709a754a4

34115087193252 has 48 divisors (see below), whose sum is σ = 90236937792960. Its totient is φ = 9944478857088.

The previous prime is 34115087193199. The next prime is 34115087193293. The reversal of 34115087193252 is 25239178051143.

It is a junction number, because it is equal to n+sod(n) for n = 34115087193195 and 34115087193204.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5754903783 + ... + 5754909710.

It is an arithmetic number, because the mean of its divisors is an integer number (1879936204020).

Almost surely, 234115087193252 is an apocalyptic number.

It is an amenable number.

34115087193252 is an abundant number, since it is smaller than the sum of its proper divisors (56121850599708).

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

34115087193252 is a wasteful number, since it uses less digits than its factorization.

34115087193252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11509813532 (or 11509813530 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 51.

The spelling of 34115087193252 in words is "thirty-four trillion, one hundred fifteen billion, eighty-seven million, one hundred ninety-three thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 12 13 19 26 38 39 52 57 76 78 114 156 228 247 494 741 988 1482 2964 11509813493 23019626986 34529440479 46039253972 69058880958 138117761916 149627575409 218686456367 299255150818 437372912734 448882726227 598510301636 656059369101 874745825468 897765452454 1312118738202 1795530904908 2624237476404 2842923932771 5685847865542 8528771798313 11371695731084 17057543596626 34115087193252