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82714074462 = 23237831937753
BaseRepresentation
bin100110100001000100…
…1001001110101011110
321220111111010100020100
41031002021021311132
52323344300340322
6101555345401530
75655506014065
oct1150211116536
9256444110210
1082714074462
1132095a36428
12140449392a6
137a52508836
1440093d31dc
1522418d3dac
hex1342249d5e

82714074462 has 96 divisors (see below), whose sum is σ = 187264310688. Its totient is φ = 26362257408.

The previous prime is 82714074433. The next prime is 82714074473. The reversal of 82714074462 is 26447041728.

82714074462 is a `hidden beast` number, since 82 + 7 + 1 + 40 + 74 + 462 = 666.

It is a super-2 number, since 2×827140744622 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10664778 + ... + 10672530.

It is an arithmetic number, because the mean of its divisors is an integer number (1950669903).

Almost surely, 282714074462 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82714074462, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93632155344).

82714074462 is an abundant number, since it is smaller than the sum of its proper divisors (104550236226).

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

82714074462 is a wasteful number, since it uses less digits than its factorization.

82714074462 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8074 (or 8071 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 45.

The spelling of 82714074462 in words is "eighty-two billion, seven hundred fourteen million, seventy-four thousand, four hundred sixty-two".

Divisors: 1 2 3 6 9 18 37 74 83 111 166 193 222 249 333 386 498 579 666 747 1158 1494 1737 3071 3474 6142 7141 7753 9213 14282 15506 16019 18426 21423 23259 27639 32038 42846 46518 48057 55278 64269 69777 96114 128538 139554 144171 286861 288342 573722 592703 643499 860583 1185406 1286998 1496329 1721166 1778109 1930497 2581749 2992658 3556218 3860994 4488987 5163498 5334327 5791491 8977974 10668654 11582982 13466961 23809463 26933922 47618926 55364173 71428389 110728346 124195307 142856778 166092519 214285167 248390614 332185038 372585921 428570334 498277557 745171842 996555114 1117757763 2235515526 4595226359 9190452718 13785679077 27571358154 41357037231 82714074462