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193116794868 = 223331127454183
BaseRepresentation
bin1011001111011010101…
…0000110111111110100
3200110110122022122011000
42303312222012333310
511131000344413433
6224414443043300
716644420446364
oct2636652067764
9613418278130
10193116794868
117499a43a318
1231516510530
131529828a32a
1494bdc889a4
15505402b113
hex2cf6a86ff4

193116794868 has 96 divisors (see below), whose sum is σ = 520894545920. Its totient is φ = 61805086560.

The previous prime is 193116794839. The next prime is 193116794873. The reversal of 193116794868 is 868497611391.

193116794868 is a `hidden beast` number, since 1 + 93 + 1 + 1 + 67 + 9 + 486 + 8 = 666.

It is a super-2 number, since 2×1931167948682 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 198105 + ... + 652287.

Almost surely, 2193116794868 is an apocalyptic number.

193116794868 is a gapful number since it is divisible by the number (18) 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 193116794868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260447272960).

193116794868 is an abundant number, since it is smaller than the sum of its proper divisors (327777751052).

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

193116794868 is a wasteful number, since it uses less digits than its factorization.

193116794868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454354 (or 454346 counting only the distinct ones).

The product of its digits is 15676416, while the sum is 63.

The spelling of 193116794868 in words is "one hundred ninety-three billion, one hundred sixteen million, seven hundred ninety-four thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 93 108 124 127 186 254 279 372 381 508 558 762 837 1116 1143 1524 1674 2286 3348 3429 3937 4572 6858 7874 11811 13716 15748 23622 35433 47244 70866 106299 141732 212598 425196 454183 908366 1362549 1816732 2725098 4087647 5450196 8175294 12262941 14079673 16350588 24525882 28159346 42239019 49051764 56318692 57681241 84478038 115362482 126717057 168956076 173043723 230724964 253434114 346087446 380151171 506868228 519131169 692174892 760302342 1038262338 1520604684 1557393507 1788118471 2076524676 3114787014 3576236942 5364355413 6229574028 7152473884 10728710826 16093066239 21457421652 32186132478 48279198717 64372264956 96558397434 193116794868