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199834527672 = 2332131712558731
BaseRepresentation
bin1011101000011100010…
…0001110011110111000
3201002210210220211010200
42322013010032132320
511233230114341142
6231445215242200
720303041313253
oct2720704163670
9632723824120
10199834527672
117782742140a
1232890219360
1315ac8c63960
14995a12a09a
1552e8b8a64c
hex2e8710e7b8

199834527672 has 96 divisors (see below), whose sum is σ = 617136090480. Its totient is φ = 57870627840.

The previous prime is 199834527617. The next prime is 199834527691. The reversal of 199834527672 is 276725438991.

199834527672 is a `hidden beast` number, since 1 + 9 + 9 + 8 + 34 + 527 + 6 + 72 = 666.

199834527672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6263454 + ... + 6295277.

Almost surely, 2199834527672 is an apocalyptic number.

199834527672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

199834527672 is an abundant number, since it is smaller than the sum of its proper divisors (417301562808).

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

199834527672 is a wasteful number, since it uses less digits than its factorization.

199834527672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12558773 (or 12558766 counting only the distinct ones).

The product of its digits is 45722880, while the sum is 63.

The spelling of 199834527672 in words is "one hundred ninety-nine billion, eight hundred thirty-four million, five hundred twenty-seven thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 17 18 24 26 34 36 39 51 52 68 72 78 102 104 117 136 153 156 204 221 234 306 312 408 442 468 612 663 884 936 1224 1326 1768 1989 2652 3978 5304 7956 15912 12558731 25117462 37676193 50234924 75352386 100469848 113028579 150704772 163263503 213498427 226057158 301409544 326527006 426996854 452114316 489790509 640495281 653054012 853993708 904228632 979581018 1280990562 1306108024 1469371527 1707987416 1921485843 1959162036 2561981124 2775479551 2938743054 3842971686 3918324072 5123962248 5550959102 5877486108 7685943372 8326438653 11101918204 11754972216 15371886744 16652877306 22203836408 24979315959 33305754612 49958631918 66611509224 99917263836 199834527672