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34252183053 = 3211233079511
BaseRepresentation
bin11111111001100101…
…101101011000001101
310021102002112011221100
4133321211231120031
51030122024324203
623422451053313
72321541515664
oct377145553015
9107362464840
1034252183053
1113587512100
12677aba1239
1332cb311a4a
14192d085ddb
15d570b4ea3
hex7f996d60d

34252183053 has 36 divisors (see below), whose sum is σ = 54404188384. Its totient is φ = 20750439600.

The previous prime is 34252183019. The next prime is 34252183099. The reversal of 34252183053 is 35038125243.

34252183053 is a `hidden beast` number, since 3 + 4 + 2 + 521 + 83 + 0 + 53 = 666.

It is not a de Polignac number, because 34252183053 - 26 = 34252182989 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34252182999 and 34252183017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34252183003) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3596568 + ... + 3606078.

Almost surely, 234252183053 is an apocalyptic number.

34252183053 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

34252183053 is a deficient number, since it is larger than the sum of its proper divisors (20152005331).

34252183053 is a wasteful number, since it uses less digits than its factorization.

34252183053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12846 (or 12832 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

It can be divided in two parts, 3425218 and 3053, that added together give a triangular number (3428271 = T2618).

The spelling of 34252183053 in words is "thirty-four billion, two hundred fifty-two million, one hundred eighty-three thousand, fifty-three".

Divisors: 1 3 9 11 33 99 121 363 1089 3307 9511 9921 28533 29763 36377 85599 104621 109131 313863 327393 400147 941589 1150831 1200441 3452493 3601323 10357479 31452877 94358631 283075893 345981647 1037944941 3113834823 3805798117 11417394351 34252183053