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199326667680 = 25325719774471
BaseRepresentation
bin1011100110100011001…
…0111001001110100000
3201001111102021212012100
42321220302321032200
511231210111331210
6231322554130400
720254333502010
oct2715062711640
9631442255170
10199326667680
1177596786708
123276a120a00
1315a4798909a
14990c8c9c40
1552b92bd5c0
hex2e68cb93a0

199326667680 has 144 divisors (see below), whose sum is σ = 777374043264. Its totient is φ = 45560378880.

The previous prime is 199326667637. The next prime is 199326667699. The reversal of 199326667680 is 86766623991.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×1993266676802 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9877156 + ... + 9897315.

It is an arithmetic number, because the mean of its divisors is an integer number (5398430856).

Almost surely, 2199326667680 is an apocalyptic number.

199326667680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

199326667680 is an abundant number, since it is smaller than the sum of its proper divisors (578047375584).

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

199326667680 is a wasteful number, since it uses less digits than its factorization.

199326667680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19774499 (or 19774488 counting only the distinct ones).

The product of its (nonzero) digits is 35271936, while the sum is 63.

The spelling of 199326667680 in words is "one hundred ninety-nine billion, three hundred twenty-six million, six hundred sixty-seven thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 56 60 63 70 72 80 84 90 96 105 112 120 126 140 144 160 168 180 210 224 240 252 280 288 315 336 360 420 480 504 560 630 672 720 840 1008 1120 1260 1440 1680 2016 2520 3360 5040 10080 19774471 39548942 59323413 79097884 98872355 118646826 138421297 158195768 177970239 197744710 237293652 276842594 296617065 316391536 355940478 395489420 415263891 474587304 553685188 593234130 632783072 692106485 711880956 790978840 830527782 889851195 949174608 1107370376 1186468260 1245791673 1384212970 1423761912 1581957680 1661055564 1779702390 1898349216 2076319455 2214740752 2372936520 2491583346 2768425940 2847523824 3163915360 3322111128 3559404780 4152638910 4429481504 4745873040 4983166692 5536851880 5695047648 6228958365 6644222256 7118809560 8305277820 9491746080 9966333384 11073703760 12457916730 13288444512 14237619120 16610555640 19932666768 22147407520 24915833460 28475238240 33221111280 39865333536 49831666920 66442222560 99663333840 199326667680