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81882630990 = 232546112131627
BaseRepresentation
bin100110001000010010…
…1011100101101001110
321211100112121122012200
41030100211130231032
52320143423142430
6101341044542330
75626061610456
oct1142045345516
9254315548180
1081882630990
11317a9679666
1213a523b19a6
13794c196954
143d6ac00d66
1521e38ea460
hex131095cb4e

81882630990 has 96 divisors (see below), whose sum is σ = 213663786336. Its totient is φ = 21756660480.

The previous prime is 81882630979. The next prime is 81882631027. The reversal of 81882630990 is 9903628818.

It is a happy number.

It is a Curzon number.

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 47 ways as a sum of consecutive naturals, for example, 50326557 + ... + 50328183.

It is an arithmetic number, because the mean of its divisors is an integer number (2225664441).

Almost surely, 281882630990 is an apocalyptic number.

81882630990 is an abundant number, since it is smaller than the sum of its proper divisors (131781155346).

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

81882630990 is a wasteful number, since it uses less digits than its factorization.

81882630990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3314 (or 3311 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 81882630990 in words is "eighty-one billion, eight hundred eighty-two million, six hundred thirty thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 461 922 1213 1383 1627 2305 2426 2766 3254 3639 4149 4610 4881 6065 6915 7278 8135 8298 9762 10917 12130 13830 14643 16270 18195 20745 21834 24405 29286 36390 41490 48810 54585 73215 109170 146430 559193 750047 1118386 1500094 1677579 1973551 2250141 2795965 3355158 3750235 3947102 4500282 5032737 5591930 5920653 6750423 7500470 8387895 9867755 10065474 11250705 11841306 13500846 16775790 17761959 19735510 22501410 25163685 29603265 33752115 35523918 50327370 59206530 67504230 88809795 177619590 909807011 1819614022 2729421033 4549035055 5458842066 8188263099 9098070110 13647105165 16376526198 27294210330 40941315495 81882630990