Search a number
-
+
19845713712 = 243111910918149
BaseRepresentation
bin10010011110111001…
…011000111100110000
31220020002012201020210
4102132321120330300
5311121000314322
613041134304120
71301536532436
oct223671307460
956202181223
1019845713712
11846442a4a0
123a1a358040
131b43737a86
14d63a02d56
157b244170c
hex49ee58f30

19845713712 has 160 divisors (see below), whose sum is σ = 59415840000. Its totient is φ = 5644753920.

The previous prime is 19845713659. The next prime is 19845713729. The reversal of 19845713712 is 21731754891.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1084414 + ... + 1102562.

It is an arithmetic number, because the mean of its divisors is an integer number (371349000).

Almost surely, 219845713712 is an apocalyptic number.

19845713712 is a gapful number since it is divisible by the number (12) 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 19845713712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29707920000).

19845713712 is an abundant number, since it is smaller than the sum of its proper divisors (39570126288).

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

19845713712 is a wasteful number, since it uses less digits than its factorization.

19845713712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18299 (or 18293 counting only the distinct ones).

The product of its digits is 423360, while the sum is 48.

The spelling of 19845713712 in words is "nineteen billion, eight hundred forty-five million, seven hundred thirteen thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 33 38 44 48 57 66 76 88 109 114 132 152 176 209 218 228 264 304 327 418 436 456 528 627 654 836 872 912 1199 1254 1308 1672 1744 2071 2398 2508 2616 3344 3597 4142 4796 5016 5232 6213 7194 8284 9592 10032 12426 14388 16568 18149 19184 22781 24852 28776 33136 36298 45562 49704 54447 57552 68343 72596 91124 99408 108894 136686 145192 182248 199639 217788 273372 290384 344831 364496 399278 435576 546744 598917 689662 798556 871152 1034493 1093488 1197834 1379324 1597112 1978241 2068986 2395668 2758648 3194224 3793141 3956482 4137972 4791336 5517296 5934723 7586282 7912964 8275944 9582672 11379423 11869446 15172564 15825928 16551888 21760651 22758846 23738892 30345128 31651856 37586579 43521302 45517692 47477784 60690256 65281953 75173158 87042604 91035384 94955568 112759737 130563906 150346316 174085208 182070768 225519474 261127812 300692632 348170416 413452369 451038948 522255624 601385264 826904738 902077896 1044511248 1240357107 1653809476 1804155792 2480714214 3307618952 4961428428 6615237904 9922856856 19845713712