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82232026902 = 23371149143947
BaseRepresentation
bin100110010010101101…
…0010010011100010110
321212020220001210022000
41030211122102130112
52321402344330102
6101435445420130
75640533460444
oct1144532223426
9255226053260
1082232026902
1131968920a13
1213b2b40a646
1379a669abac
143da1391b94
15221441501c
hex1325692716

82232026902 has 64 divisors (see below), whose sum is σ = 186556608000. Its totient is φ = 26843050080.

The previous prime is 82232026883. The next prime is 82232026927. The reversal of 82232026902 is 20962023228.

It is a super-2 number, since 2×822320269022 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 499293 + ... + 643239.

It is an arithmetic number, because the mean of its divisors is an integer number (2914947000).

Almost surely, 282232026902 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82232026902, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93278304000).

82232026902 is an abundant number, since it is smaller than the sum of its proper divisors (104324581098).

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

82232026902 is a wasteful number, since it uses less digits than its factorization.

82232026902 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144178 (or 144172 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 82232026902 in words is "eighty-two billion, two hundred thirty-two million, twenty-six thousand, nine hundred two".

Divisors: 1 2 3 6 9 18 27 54 71 142 149 213 298 426 447 639 894 1278 1341 1917 2682 3834 4023 8046 10579 21158 31737 63474 95211 143947 190422 285633 287894 431841 571266 863682 1295523 2591046 3886569 7773138 10220237 20440474 21448103 30660711 42896206 61321422 64344309 91982133 128688618 183964266 193032927 275946399 386065854 551892798 579098781 1158197562 1522815313 3045630626 4568445939 9136891878 13705337817 27410675634 41116013451 82232026902