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5980853214 = 23476186461
BaseRepresentation
bin1011001000111110…
…01001001111011110
3120102211000211020000
411210133021033132
544222044300324
62425250235130
7301132261560
oct54437111736
916384024200
105980853214
11259a0435a6
1211aab85aa6
13744123acb
1440a467330
152501049c9
hex1647c93de

5980853214 has 80 divisors (see below), whose sum is σ = 15567310176. Its totient is φ = 1680782400.

The previous prime is 5980853209. The next prime is 5980853267. The reversal of 5980853214 is 4123580895.

5980853214 is a `hidden beast` number, since 598 + 0 + 8 + 53 + 2 + 1 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 5980853214.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 25944 + ... + 112404.

Almost surely, 25980853214 is an apocalyptic number.

5980853214 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 5980853214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7783655088).

5980853214 is an abundant number, since it is smaller than the sum of its proper divisors (9586456962).

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

5980853214 is a wasteful number, since it uses less digits than its factorization.

5980853214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86543 (or 86534 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 5980853214 is about 77335.9761947827. The cubic root of 5980853214 is about 1815.1856431928.

The spelling of 5980853214 in words is "five billion, nine hundred eighty million, eight hundred fifty-three thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 61 63 81 122 126 162 183 189 366 378 427 549 567 854 1098 1134 1281 1647 2562 3294 3843 4941 7686 9882 11529 23058 34587 69174 86461 172922 259383 518766 605227 778149 1210454 1556298 1815681 2334447 3631362 4668894 5274121 5447043 7003341 10548242 10894086 14006682 15822363 16341129 31644726 32682258 36918847 47467089 49023387 73837694 94934178 98046774 110756541 142401267 221513082 284802534 332269623 427203801 664539246 854407602 996808869 1993617738 2990426607 5980853214