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80882637400 = 235217181131431
BaseRepresentation
bin100101101010011111…
…0110001101001011000
321201202211221200220001
41023110332301221120
52311121423344100
6101053523342344
75562230034325
oct1132476615130
9251684850801
1080882637400
113133615a684
12138135219b4
13781cc5c676
143cb4095b4c
152185c1ad6a
hex12d4fb1a58

80882637400 has 96 divisors (see below), whose sum is σ = 200215622880. Its totient is φ = 30281472000.

The previous prime is 80882637389. The next prime is 80882637419. The reversal of 80882637400 is 473628808.

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 23 ways as a sum of consecutive naturals, for example, 549685 + ... + 681115.

It is an arithmetic number, because the mean of its divisors is an integer number (2085579405).

Almost surely, 280882637400 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 80882637400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100107811440).

80882637400 is an abundant number, since it is smaller than the sum of its proper divisors (119332985480).

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

80882637400 is a wasteful number, since it uses less digits than its factorization.

80882637400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131645 (or 131636 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 46.

The spelling of 80882637400 in words is "eighty billion, eight hundred eighty-two million, six hundred thirty-seven thousand, four hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 181 200 340 362 425 680 724 850 905 1448 1700 1810 3077 3400 3620 4525 6154 7240 9050 12308 15385 18100 24616 30770 36200 61540 76925 123080 131431 153850 262862 307700 525724 615400 657155 1051448 1314310 2234327 2628620 3285775 4468654 5257240 6571550 8937308 11171635 13143100 17874616 22343270 23789011 26286200 44686540 47578022 55858175 89373080 95156044 111716350 118945055 190312088 223432700 237890110 404413187 446865400 475780220 594725275 808826374 951560440 1189450550 1617652748 2022065935 2378901100 3235305496 4044131870 4757802200 8088263740 10110329675 16176527480 20220659350 40441318700 80882637400