Search a number
-
+
82376172414 = 23273285721943
BaseRepresentation
bin100110010111000000…
…0001010001101111110
321212121221022010202200
41030232000022031332
52322201300004124
6101502035132330
75644233624654
oct1145600121576
9255557263680
1082376172414
1131a32224638
1213b6b7440a6
1379ca4ca0b3
143db6594dd4
152221dd9bc9
hex132e00a37e

82376172414 has 48 divisors (see below), whose sum is σ = 180998237472. Its totient is φ = 27071864064.

The previous prime is 82376172413. The next prime is 82376172469. The reversal of 82376172414 is 41427167328.

82376172414 is a `hidden beast` number, since 8 + 2 + 3 + 7 + 617 + 24 + 1 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 82376172414.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82376172413) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 3743127 + ... + 3765069.

It is an arithmetic number, because the mean of its divisors is an integer number (3770796614).

Almost surely, 282376172414 is an apocalyptic number.

82376172414 is an abundant number, since it is smaller than the sum of its proper divisors (98622065058).

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

82376172414 is a wasteful number, since it uses less digits than its factorization.

82376172414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24881 (or 24878 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The spelling of 82376172414 in words is "eighty-two billion, three hundred seventy-six million, one hundred seventy-two thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 18 73 146 219 438 657 1314 2857 5714 8571 17142 21943 25713 43886 51426 65829 131658 197487 208561 394974 417122 625683 1251366 1601839 1877049 3203678 3754098 4805517 9611034 14416551 28833102 62691151 125382302 188073453 376146906 564220359 1128440718 4576454023 9152908046 13729362069 27458724138 41188086207 82376172414