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34657712450130 = 235711115791295737
BaseRepresentation
bin1111110000101011000001…
…01000111010101001010010
311112201020121120101202011110
413320111200220322221102
514020312443341401010
6201413311105354150
710204636265106420
oct770254050725122
9145636546352143
1034657712450130
11100522871761a0
123a78a91938956
131645292719053
1487b6296b6110
154017d75e2120
hex1f8560a3aa52

34657712450130 has 128 divisors (see below), whose sum is σ = 103712113428480. Its totient is φ = 7200975075840.

The previous prime is 34657712450087. The next prime is 34657712450147. The reversal of 34657712450130 is 3105421775643.

It is a self number, because there is not a number n which added to its sum of digits gives 34657712450130.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26099622 + ... + 27395358.

It is an arithmetic number, because the mean of its divisors is an integer number (810250886160).

Almost surely, 234657712450130 is an apocalyptic number.

34657712450130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

34657712450130 is an abundant number, since it is smaller than the sum of its proper divisors (69054400978350).

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

34657712450130 is a wasteful number, since it uses less digits than its factorization.

34657712450130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1307344.

The product of its (nonzero) digits is 2116800, while the sum is 48.

The spelling of 34657712450130 in words is "thirty-four trillion, six hundred fifty-seven billion, seven hundred twelve million, four hundred fifty thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 55 66 70 77 105 110 154 165 210 231 330 385 462 770 1155 2310 11579 23158 34737 57895 69474 81053 115790 127369 162106 173685 243159 254738 347370 382107 405265 486318 636845 764214 810530 891583 1215795 1273690 1295737 1783166 1910535 2431590 2591474 2674749 3821070 3887211 4457915 5349498 6478685 7774422 8915830 9070159 12957370 13373745 14253107 18140318 19436055 26747490 27210477 28506214 38872110 42759321 45350795 54420954 71265535 85518642 90701590 99771749 136052385 142531070 199543498 213796605 272104770 299315247 427593210 498858745 598630494 997717490 1496576235 2993152470 15003338723 30006677446 45010016169 75016693615 90020032338 105023371061 150033387230 165036725953 210046742122 225050080845 315070113183 330073451906 450100161690 495110177859 525116855305 630140226366 825183629765 990220355718 1050233710610 1155257081671 1575350565915 1650367259530 2310514163342 2475550889295 3150701131830 3465771245013 4951101778590 5776285408355 6931542490026 11552570816710 17328856225065 34657712450130