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82416231001454 = 27371301122294153
BaseRepresentation
bin10010101111010100000110…
…001011000010110101101110
3101210210220200211202112210212
4102233110012023002311232
541300301420114021304
6451141254400302422
723234243014553360
oct2257240613026556
9353726624675725
1082416231001454
11242955888a4a09
1292b0999011a12
1336caa8160ab9c
14164cd7710ad30
1597dc7e23566e
hex4af5062c2d6e

82416231001454 has 32 divisors (see below), whose sum is σ = 145215013519296. Its totient is φ = 34340197881600.

The previous prime is 82416231001453. The next prime is 82416231001459. The reversal of 82416231001454 is 45410013261428.

It is a happy number.

It is a super-2 number, since 2×824162310014542 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82416231001453) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60473159 + ... + 61820994.

It is an arithmetic number, because the mean of its divisors is an integer number (4537969172478).

Almost surely, 282416231001454 is an apocalyptic number.

82416231001454 is a deficient number, since it is larger than the sum of its proper divisors (62798782517842).

82416231001454 is a wasteful number, since it uses less digits than its factorization.

82416231001454 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122295500.

The product of its (nonzero) digits is 184320, while the sum is 41.

The spelling of 82416231001454 in words is "eighty-two trillion, four hundred sixteen billion, two hundred thirty-one million, one thousand, four hundred fifty-four".

Divisors: 1 2 7 14 37 74 259 518 1301 2602 9107 18214 48137 96274 336959 673918 122294153 244588306 856059071 1712118142 4524883661 9049767322 31674185627 63348371254 159104693053 318209386106 1113732851371 2227465702742 5886873642961 11773747285922 41208115500727 82416231001454