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3816613134270 = 23552322969041
BaseRepresentation
bin110111100010011111110…
…111101011111110111110
3111111212100022221200100000
4313202133313223332332
51000012410430244040
612041154453015130
7542512142240646
oct67423767537676
914455308850300
103816613134270
111241686685102
125178280244a6
13218b9c5a9731
14d2a217d5526
156942b291130
hex3789fdebfbe

3816613134270 has 144 divisors (see below), whose sum is σ = 10757599240752. Its totient is φ = 973512587520.

The previous prime is 3816613134233. The next prime is 3816613134283. The reversal of 3816613134270 is 724313166183.

3816613134270 is a `hidden beast` number, since 3 + 8 + 1 + 6 + 61 + 313 + 4 + 270 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 199051 + ... + 2769990.

It is an arithmetic number, because the mean of its divisors is an integer number (74705550283).

Almost surely, 23816613134270 is an apocalyptic number.

3816613134270 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3816613134270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5378799620376).

3816613134270 is an abundant number, since it is smaller than the sum of its proper divisors (6940986106482).

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

3816613134270 is a wasteful number, since it uses less digits than its factorization.

3816613134270 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2969109 (or 2969074 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 3816613134270 in words is "three trillion, eight hundred sixteen billion, six hundred thirteen million, one hundred thirty-four thousand, two hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 23 27 30 45 46 54 69 81 90 115 135 138 162 207 230 243 270 345 405 414 486 529 621 690 810 1035 1058 1215 1242 1587 1863 2070 2430 2645 3105 3174 3726 4761 5290 5589 6210 7935 9315 9522 11178 14283 15870 18630 23805 27945 28566 42849 47610 55890 71415 85698 128547 142830 214245 257094 428490 642735 1285470 2969041 5938082 8907123 14845205 17814246 26721369 29690410 44535615 53442738 68287943 80164107 89071230 133606845 136575886 160328214 204863829 240492321 267213690 341439715 400820535 409727658 480984642 614591487 682879430 721476963 801641070 1024319145 1202461605 1229182974 1442953926 1570622689 1843774461 2048638290 2404923210 3072957435 3141245378 3607384815 3687548922 4711868067 5531323383 6145914870 7214769630 7853113445 9218872305 9423736134 11062646766 14135604201 15706226890 16593970149 18437744610 23559340335 27656616915 28271208402 33187940298 42406812603 47118680670 55313233830 70678021005 82969850745 84813625206 127220437809 141356042010 165939701490 212034063015 254440875618 381661313427 424068126030 636102189045 763322626854 1272204378090 1908306567135 3816613134270