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800867737340 = 2251131883132989
BaseRepresentation
bin10111010011101110110…
…11111101111011111100
32211120011211221100211122
423221313123331323330
5101110134120043330
61411525155010112
7111601151306336
oct13516733757374
92746154840748
10800867737340
11289711a606a0
1210b268b99938
135a6a1988218
142aa956c4456
1515c745995e5
hexba776fdefc

800867737340 has 96 divisors (see below), whose sum is σ = 1896058644480. Its totient is φ = 281508998400.

The previous prime is 800867737339. The next prime is 800867737349. The reversal of 800867737340 is 43737768008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (800867737349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5955566 + ... + 6088554.

It is an arithmetic number, because the mean of its divisors is an integer number (19750610880).

Almost surely, 2800867737340 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 800867737340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (948029322240).

800867737340 is an abundant number, since it is smaller than the sum of its proper divisors (1095190907140).

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

800867737340 is a wasteful number, since it uses less digits than its factorization.

800867737340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133923 (or 133921 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 53.

The spelling of 800867737340 in words is "eight hundred billion, eight hundred sixty-seven million, seven hundred thirty-seven thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 31 44 55 62 110 124 155 220 310 341 620 682 883 1364 1705 1766 3410 3532 4415 6820 8830 9713 17660 19426 27373 38852 48565 54746 97130 109492 132989 136865 194260 265978 273730 301103 531956 547460 602206 664945 1204412 1329890 1462879 1505515 2659780 2925758 3011030 4122659 5851516 6022060 7314395 8245318 14628790 16490636 20613295 29257580 41226590 45349249 82453180 90698498 117429287 181396996 226746245 234858574 453492490 469717148 587146435 906984980 1174292870 1291722157 2348585740 2583444314 3640307897 5166888628 6458610785 7280615794 12917221570 14561231588 18201539485 25834443140 36403078970 40043386867 72806157940 80086773734 160173547468 200216934335 400433868670 800867737340