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79828998040 = 235114717212243
BaseRepresentation
bin100101001011000101…
…1011101011110011000
321122001102100021102001
41022112023131132120
52301442210414130
6100401204250344
75524144200421
oct1122613353630
9248042307361
1079828998040
113094542a850
121357a6a09b4
1376b289171c
143c14184648
1521234916ca
hex12962dd798

79828998040 has 128 divisors (see below), whose sum is σ = 200318469120. Its totient is φ = 28381926400.

The previous prime is 79828998037. The next prime is 79828998049. The reversal of 79828998040 is 4089982897.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79828998049) by changing a digit.

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, 35589159 + ... + 35591401.

It is an arithmetic number, because the mean of its divisors is an integer number (1564988040).

Almost surely, 279828998040 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 79828998040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100159234560).

79828998040 is an abundant number, since it is smaller than the sum of its proper divisors (120489471080).

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

79828998040 is a wasteful number, since it uses less digits than its factorization.

79828998040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4033 (or 4029 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 64.

The spelling of 79828998040 in words is "seventy-nine billion, eight hundred twenty-eight million, nine hundred ninety-eight thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 47 55 88 94 110 188 220 235 376 440 470 517 940 1034 1721 1880 2068 2243 2585 3442 4136 4486 5170 6884 8605 8972 10340 11215 13768 17210 17944 18931 20680 22430 24673 34420 37862 44860 49346 68840 75724 80887 89720 94655 98692 105421 123365 151448 161774 189310 197384 210842 246730 323548 378620 404435 421684 493460 527105 647096 757240 808870 843368 889757 986920 1054210 1159631 1617740 1779514 2108420 2319262 3235480 3559028 3860203 4216840 4448785 4638524 5798155 7118056 7720406 8897570 9277048 11596310 15440812 17795140 19301015 23192620 30881624 35590280 38602030 42462233 46385240 77204060 84924466 154408120 169848932 181429541 212311165 339697864 362859082 424622330 725718164 849244660 907147705 1451436328 1698489320 1814295410 1995724951 3628590820 3991449902 7257181640 7982899804 9978624755 15965799608 19957249510 39914499020 79828998040