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191172034242 = 23275333784947
BaseRepresentation
bin1011001000001010111…
…1011011111011000010
3200021110002220120002200
42302002233123323002
511113010020043432
6223453452054030
716545264323340
oct2620257337302
9607402816080
10191172034242
11740916a1932
1231073164316
13150483b40b7
14937788c990
154e8d42aa7c
hex2c82bdbec2

191172034242 has 96 divisors (see below), whose sum is σ = 483746919552. Its totient is φ = 53430354432.

The previous prime is 191172034237. The next prime is 191172034267. The reversal of 191172034242 is 242430271191.

191172034242 is a `hidden beast` number, since 19 + 1 + 17 + 203 + 424 + 2 = 666.

It is a super-4 number, since 4×1911720342424 (a number of 46 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 191172034197 and 191172034206.

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, 2208013 + ... + 2292959.

It is an arithmetic number, because the mean of its divisors is an integer number (5039030412).

Almost surely, 2191172034242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 191172034242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241873459776).

191172034242 is an abundant number, since it is smaller than the sum of its proper divisors (292574885310).

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

191172034242 is a wasteful number, since it uses less digits than its factorization.

191172034242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85352 (or 85349 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 191172034242 in words is "one hundred ninety-one billion, one hundred seventy-two million, thirty-four thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 53 63 106 126 159 318 337 371 477 674 742 954 1011 1113 2022 2226 2359 3033 3339 4718 6066 6678 7077 14154 17861 21231 35722 42462 53583 84947 107166 125027 160749 169894 250054 254841 321498 375081 509682 594629 750162 764523 1125243 1189258 1529046 1783887 2250486 3567774 4502191 5351661 9004382 10703322 13506573 27013146 28627139 31515337 40519719 57254278 63030674 81039438 85881417 94546011 171762834 189092022 200389973 257644251 283638033 400779946 515288502 567276066 601169919 1202339838 1517238367 1803509757 3034476734 3607019514 4551715101 9103430202 10620668569 13655145303 21241337138 27310290606 31862005707 63724011414 95586017121 191172034242