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19722680472 = 23311714912143
BaseRepresentation
bin10010010111100100…
…000011100010011000
31212220111200222101010
4102113210003202120
5310343001233342
613021021253520
71265514006105
oct222744034230
955814628333
1019722680472
118400a36830
1239a51042a0
131b240bb341
14d51537aac
157a673c29c
hex497903898

19722680472 has 128 divisors (see below), whose sum is σ = 54683320320. Its totient is φ = 5877648000.

The previous prime is 19722680449. The next prime is 19722680479. The reversal of 19722680472 is 27408622791.

It is a super-2 number, since 2×197226804722 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19722680479) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9202233 + ... + 9204375.

It is an arithmetic number, because the mean of its divisors is an integer number (427213440).

Almost surely, 219722680472 is an apocalyptic number.

19722680472 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 19722680472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27341660160).

19722680472 is an abundant number, since it is smaller than the sum of its proper divisors (34960639848).

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

19722680472 is a wasteful number, since it uses less digits than its factorization.

19722680472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2725 (or 2721 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 48.

The spelling of 19722680472 in words is "nineteen billion, seven hundred twenty-two million, six hundred eighty thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 71 88 132 142 213 264 284 426 491 568 781 852 982 1473 1562 1704 1964 2143 2343 2946 3124 3928 4286 4686 5401 5892 6248 6429 8572 9372 10802 11784 12858 16203 17144 18744 21604 23573 25716 32406 34861 43208 47146 51432 64812 69722 70719 94292 104583 129624 139444 141438 152153 188584 209166 278888 282876 304306 383471 418332 456459 565752 608612 766942 836664 912918 1052213 1150413 1217224 1533884 1673683 1825836 2104426 2300826 3067768 3156639 3347366 3651672 4208852 4601652 5021049 6313278 6694732 8417704 9203304 10042098 11574343 12626556 13389464 20084196 23148686 25253112 34723029 40168392 46297372 69446058 74707123 92594744 138892116 149414246 224121369 277784232 298828492 448242738 597656984 821778353 896485476 1643556706 1792970952 2465335059 3287113412 4930670118 6574226824 9861340236 19722680472