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1982297129922 = 232372431870787
BaseRepresentation
bin11100110110001010000…
…111011100001111000010
321000111122200202212120100
4130312022013130033002
5224434221031124142
64114353231023230
7263134112406654
oct34661207341702
97014580685510
101982297129922
116a476206254a
1228022336ab16
13114c11a68415
146bd2d6ca6d4
153686dc67b4c
hex1cd8a1dc3c2

1982297129922 has 72 divisors (see below), whose sum is σ = 4516852996656. Its totient is φ = 627955511904.

The previous prime is 1982297129903. The next prime is 1982297129941. The reversal of 1982297129922 is 2299217922891.

It is an interprime number because it is at equal distance from previous prime (1982297129903) and next prime (1982297129941).

It is a super-2 number, since 2×19822971299222 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1982297129922.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 124213 + ... + 1994999.

It is an arithmetic number, because the mean of its divisors is an integer number (62734069398).

Almost surely, 21982297129922 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1982297129922, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2258426498328).

1982297129922 is an abundant number, since it is smaller than the sum of its proper divisors (2534555866734).

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

1982297129922 is a wasteful number, since it uses less digits than its factorization.

1982297129922 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1870912 (or 1870872 counting only the distinct ones).

The product of its digits is 11757312, while the sum is 63.

The spelling of 1982297129922 in words is "one trillion, nine hundred eighty-two billion, two hundred ninety-seven million, one hundred twenty-nine thousand, nine hundred twenty-two".

Divisors: 1 2 3 6 9 18 37 43 74 86 111 129 222 258 333 387 666 774 1369 1591 2738 3182 4107 4773 8214 9546 12321 14319 24642 28638 58867 117734 176601 353202 529803 1059606 1870787 3741574 5612361 11224722 16837083 33674166 69219119 80443841 138438238 160887682 207657357 241331523 415314714 482663046 622972071 723994569 1245944142 1447989138 2561107403 2976422117 5122214806 5952844234 7683322209 8929266351 15366644418 17858532702 23049966627 26787799053 46099933254 53575598106 110127618329 220255236658 330382854987 660765709974 991148564961 1982297129922