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19841891680 = 2551310789153
BaseRepresentation
bin10010011110101010…
…110011110101100000
31220012211000112102001
4102132222303311200
5311114011013210
613040520333344
71301462203462
oct223652636540
956184015361
1019841891680
118462259996
123a19014254
131b429ca210
14d632ca132
157b1e3903a
hex49eab3d60

19841891680 has 96 divisors (see below), whose sum is σ = 50954720544. Its totient is φ = 7257686016.

The previous prime is 19841891639. The next prime is 19841891681. The reversal of 19841891680 is 8619814891.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19841891681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 177984 + ... + 267136.

It is an arithmetic number, because the mean of its divisors is an integer number (530778339).

Almost surely, 219841891680 is an apocalyptic number.

19841891680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19841891680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25477360272).

19841891680 is an abundant number, since it is smaller than the sum of its proper divisors (31112828864).

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

19841891680 is a wasteful number, since it uses less digits than its factorization.

19841891680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89288 (or 89280 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 55.

The spelling of 19841891680 in words is "nineteen billion, eight hundred forty-one million, eight hundred ninety-one thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 107 130 160 208 214 260 416 428 520 535 856 1040 1070 1391 1712 2080 2140 2782 3424 4280 5564 6955 8560 11128 13910 17120 22256 27820 44512 55640 89153 111280 178306 222560 356612 445765 713224 891530 1158989 1426448 1783060 2317978 2852896 3566120 4635956 5794945 7132240 9271912 9539371 11589890 14264480 18543824 19078742 23179780 37087648 38157484 46359560 47696855 76314968 92719120 95393710 124011823 152629936 185438240 190787420 248023646 305259872 381574840 496047292 620059115 763149680 992094584 1240118230 1526299360 1984189168 2480236460 3968378336 4960472920 9920945840 19841891680