Search a number
-
+
82906674472467 = 3253216498028479
BaseRepresentation
bin10010110110011100110110…
…111000011010011000010011
3101212112210121200200021210100
4102312130312320122120103
541331320332131104332
6452154444522103443
723314544452355346
oct2266346670323023
9355483550607710
1082906674472467
112446458340476a
12936ba5164ab83
1337350b18c0481
1416689c104a45d
1598b8d5da967c
hex4b6736e1a613

82906674472467 has 24 divisors (see below), whose sum is σ = 122019247584000. Its totient is φ = 54225753424128.

The previous prime is 82906674472441. The next prime is 82906674472469. The reversal of 82906674472467 is 76427447660928.

82906674472467 is a `hidden beast` number, since 8 + 2 + 90 + 6 + 6 + 7 + 4 + 4 + 72 + 467 = 666.

It is not a de Polignac number, because 82906674472467 - 28 = 82906674472211 is a prime.

It is a super-2 number, since 2×829066744724672 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 82906674472395 and 82906674472404.

It is not an unprimeable number, because it can be changed into a prime (82906674472469) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6312334 + ... + 14340812.

It is an arithmetic number, because the mean of its divisors is an integer number (5084135316000).

Almost surely, 282906674472467 is an apocalyptic number.

82906674472467 is a deficient number, since it is larger than the sum of its proper divisors (39112573111533).

82906674472467 is a wasteful number, since it uses less digits than its factorization.

82906674472467 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8050187 (or 8050184 counting only the distinct ones).

The product of its (nonzero) digits is 1365590016, while the sum is 72.

The spelling of 82906674472467 in words is "eighty-two trillion, nine hundred six billion, six hundred seventy-four million, four hundred seventy-two thousand, four hundred sixty-seven".

Divisors: 1 3 9 53 159 477 21649 64947 194841 1147397 3442191 8028479 10326573 24085437 72256311 425509387 1276528161 3829584483 173808541871 521425625613 1564276876839 9211852719163 27635558157489 82906674472467