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19840949537838 = 231113231303771619
BaseRepresentation
bin1001000001011100101001…
…01111111100110000101110
32121020202221212221212200220
410200232110233330300232
510100033231040202323
6110110450102432210
74115314140265362
oct440562457746056
977222855855626
1019840949537838
11635a5548417a0
122285385a32666
13b0bcbb996730
144c84428bb2a2
1524619695d0e3
hex120b94bfcc2e

19840949537838 has 128 divisors (see below), whose sum is σ = 48683616952320. Its totient is φ = 5304534238080.

The previous prime is 19840949537833. The next prime is 19840949537839. The reversal of 19840949537838 is 83873594904891.

It is a Harshad number since it is a multiple of its sum of digits (78).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19840949537833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25327593 + ... + 26099211.

It is an arithmetic number, because the mean of its divisors is an integer number (380340757440).

Almost surely, 219840949537838 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19840949537838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24341808476160).

19840949537838 is an abundant number, since it is smaller than the sum of its proper divisors (28842667414482).

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

19840949537838 is a wasteful number, since it uses less digits than its factorization.

19840949537838 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772974.

The product of its (nonzero) digits is 1881169920, while the sum is 78.

The spelling of 19840949537838 in words is "nineteen trillion, eight hundred forty billion, nine hundred forty-nine million, five hundred thirty-seven thousand, eight hundred thirty-eight".

Divisors: 1 2 3 6 11 13 22 23 26 33 39 46 66 69 78 138 143 253 286 299 429 506 598 759 858 897 1303 1518 1794 2606 3289 3909 6578 7818 9867 14333 16939 19734 28666 29969 33878 42999 50817 59938 85998 89907 101634 179814 186329 329659 372658 389597 558987 659318 771619 779194 988977 1117974 1168791 1543238 1977954 2314857 2337582 4285567 4629714 8487809 8571134 10031047 12856701 16975618 17747237 20062094 25463427 25713402 30093141 35494474 50926854 53241711 60186282 106483422 110341517 195219607 220683034 230714081 331024551 390439214 461428162 585658821 662049102 692142243 1005419557 1171317642 1384284486 2010839114 2537854891 3016258671 5075709782 6032517342 7613564673 11059615127 13070454241 15227129346 22119230254 23124649811 26140908482 33178845381 39211362723 46249299622 66357690762 69373949433 78422725446 138747898866 143774996651 254371147921 287549993302 300620447543 431324989953 508742295842 601240895086 763113443763 862649979906 901861342629 1526226887526 1803722685258 3306824922973 6613649845946 9920474768919 19840949537838