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19760056540 = 22572291734019
BaseRepresentation
bin10010011001110010…
…101000100011011100
31220000010000212200221
4102121302220203130
5310432033302130
613024434331124
71266446465200
oct223162504334
956003025627
1019760056540
118420044a44
1239b5729aa4
131b2ba76763
14d564a6b00
157a9b7187a
hex499ca88dc

19760056540 has 144 divisors (see below), whose sum is σ = 50236653600. Its totient is φ = 6501831168.

The previous prime is 19760056529. The next prime is 19760056543. The reversal of 19760056540 is 4565006791.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19760056543) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4914651 + ... + 4918669.

It is an arithmetic number, because the mean of its divisors is an integer number (348865650).

Almost surely, 219760056540 is an apocalyptic number.

19760056540 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 19760056540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25118326800).

19760056540 is an abundant number, since it is smaller than the sum of its proper divisors (30476597060).

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

19760056540 is a wasteful number, since it uses less digits than its factorization.

19760056540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4244 (or 4235 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 43.

The spelling of 19760056540 in words is "nineteen billion, seven hundred sixty million, fifty-six thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 49 58 70 98 116 140 145 173 196 203 245 290 346 406 490 580 692 812 865 980 1015 1211 1421 1730 2030 2422 2842 3460 4019 4060 4844 5017 5684 6055 7105 8038 8477 10034 12110 14210 16076 16954 20068 20095 24220 25085 28133 28420 33908 35119 40190 42385 50170 56266 70238 80380 84770 100340 112532 116551 140476 140665 169540 175595 196931 233102 245833 281330 351190 393862 466204 491666 562660 582755 695287 702380 787724 815857 983332 984655 1165510 1229165 1390574 1631714 1969310 2331020 2458330 2781148 3263428 3476435 3938620 4079285 4867009 4916660 5710999 6952870 8158570 9734018 11421998 13905740 16317140 19468036 20163323 22843996 24335045 28554995 34069063 40326646 48670090 57109990 68138126 80653292 97340180 100816615 114219980 136276252 141143261 170345315 201633230 282286522 340690630 403266460 564573044 681381260 705716305 988002827 1411432610 1976005654 2822865220 3952011308 4940014135 9880028270 19760056540