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82399891332 = 2231121122713033
BaseRepresentation
bin100110010111101101…
…0101000111110000100
321212200120221012000010
41030233122220332010
52322223333010312
6101504243350220
75644642343223
oct1145732507604
9255616835003
1082399891332
1131a44654a50
1213b77682370
137a023b3165
143db97aacba
15222402293c
hex132f6a8f84

82399891332 has 96 divisors (see below), whose sum is σ = 211683838464. Its totient is φ = 24739948800.

The previous prime is 82399891307. The next prime is 82399891397. The reversal of 82399891332 is 23319899328.

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 31 ways as a sum of consecutive naturals, for example, 6315888 + ... + 6328920.

It is an arithmetic number, because the mean of its divisors is an integer number (2205039984).

Almost surely, 282399891332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82399891332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105841919232).

82399891332 is an abundant number, since it is smaller than the sum of its proper divisors (129283947132).

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

82399891332 is a wasteful number, since it uses less digits than its factorization.

82399891332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13489 (or 13487 counting only the distinct ones).

The product of its digits is 5038848, while the sum is 57.

The spelling of 82399891332 in words is "eighty-two billion, three hundred ninety-nine million, eight hundred ninety-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 211 227 422 454 633 681 844 908 1266 1362 2321 2497 2532 2724 4642 4994 6963 7491 9284 9988 13033 13926 14982 26066 27852 29964 39099 47897 52132 78198 95794 143363 143691 156396 191588 286726 287382 430089 526867 573452 574764 860178 1053734 1580601 1720356 2107468 2749963 2958491 3161202 5499926 5916982 6322404 8249889 8875473 10999852 11833964 16499778 17750946 30249593 32543401 32999556 35501892 60499186 65086802 90748779 97630203 120998372 130173604 181497558 195260406 362995116 390520812 624241601 1248483202 1872724803 2496966404 3745449606 6866657611 7490899212 13733315222 20599972833 27466630444 41199945666 82399891332