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19709264340 = 223253711032683
BaseRepresentation
bin10010010110110000…
…111000000111010100
31212212120110100220100
4102112300320013110
5310331032424330
613015421534100
71265261661033
oct222660700724
955776410810
1019709264340
1183a4403017
1239a0714330
131b213a18bc
14d4d84471a
157a548c060
hex496c381d4

19709264340 has 144 divisors (see below), whose sum is σ = 61479145728. Its totient is φ = 5107214592.

The previous prime is 19709264321. The next prime is 19709264359. The reversal of 19709264340 is 4346290791.

It is a happy number.

19709264340 is a `hidden beast` number, since 197 + 0 + 9 + 26 + 434 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (19709264321) and next prime (19709264359).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7344639 + ... + 7347321.

It is an arithmetic number, because the mean of its divisors is an integer number (426938512).

Almost surely, 219709264340 is an apocalyptic number.

19709264340 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 19709264340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30739572864).

19709264340 is an abundant number, since it is smaller than the sum of its proper divisors (41769881388).

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

19709264340 is a wasteful number, since it uses less digits than its factorization.

19709264340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3838 (or 3833 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 19709264340 in words is "nineteen billion, seven hundred nine million, two hundred sixty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1103 1110 1332 1665 2206 2220 2683 3309 3330 4412 5366 5515 6618 6660 8049 9927 10732 11030 13236 13415 16098 16545 19854 22060 24147 26830 32196 33090 39708 40245 40811 48294 49635 53660 66180 80490 81622 96588 99270 99271 120735 122433 160980 163244 198540 198542 204055 241470 244866 297813 367299 397084 408110 482940 489732 496355 595626 612165 734598 816220 893439 992710 1191252 1224330 1469196 1489065 1786878 1836495 1985420 2448660 2959349 2978130 3573756 3672990 4467195 5918698 5956260 7345980 8878047 8934390 11837396 14796745 17756094 17868780 26634141 29593490 35512188 44390235 53268282 59186980 88780470 106536564 109495913 133170705 177560940 218991826 266341410 328487739 437983652 532682820 547479565 656975478 985463217 1094959130 1313950956 1642438695 1970926434 2189918260 3284877390 3941852868 4927316085 6569754780 9854632170 19709264340