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19917580540 = 225111321113299
BaseRepresentation
bin10010100011001011…
…100010100011111100
31220102002102221000011
4102203023202203330
5311242400034130
613052222513004
71303401432634
oct224313424374
956362387004
1019917580540
1184a0a56070
123a3a435764
131b555ab220
14d6d38d6c4
157b88da52a
hex4a32e28fc

19917580540 has 96 divisors (see below), whose sum is σ = 49177497600. Its totient is φ = 6680428800.

The previous prime is 19917580499. The next prime is 19917580541. The reversal of 19917580540 is 4508571991.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19917580541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6035811 + ... + 6039109.

It is an arithmetic number, because the mean of its divisors is an integer number (512265600).

Almost surely, 219917580540 is an apocalyptic number.

19917580540 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 19917580540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24588748800).

19917580540 is an abundant number, since it is smaller than the sum of its proper divisors (29259917060).

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

19917580540 is a wasteful number, since it uses less digits than its factorization.

19917580540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5443 (or 5441 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 49.

The spelling of 19917580540 in words is "nineteen billion, nine hundred seventeen million, five hundred eighty thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 130 143 220 260 286 572 715 1430 2111 2860 3299 4222 6598 8444 10555 13196 16495 21110 23221 27443 32990 36289 42220 42887 46442 54886 65980 72578 85774 92884 109772 116105 137215 145156 171548 181445 214435 232210 274430 301873 362890 428870 464420 471757 548860 603746 725780 857740 943514 1207492 1509365 1887028 2358785 3018730 4717570 6037460 6964189 9435140 13928378 27856756 34820945 69641890 76606079 90534457 139283780 153212158 181068914 306424316 362137828 383030395 452672285 766060790 905344570 995879027 1532121580 1810689140 1991758054 3983516108 4979395135 9958790270 19917580540