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194004727959364 = 2272192523632
BaseRepresentation
bin101100000111001000111110…
…111001010000111101000100
3221102220200010001120201122021
4230013020332321100331010
5200412033140324144424
61524340312555012524
755602244004640400
oct5407107671207504
9842820101521567
10194004727959364
11568a7a41270833
12199134baa3a144
13843374b5cc09a
1435c9c43b20100
1517667952234e4
hexb0723ee50f44

194004727959364 has 81 divisors (see below), whose sum is σ = 416826389002527. Its totient is φ = 78767332631568.

The previous prime is 194004727959247. The next prime is 194004727959377. The reversal of 194004727959364 is 463959727400491.

It is a happy number.

The square root of 194004727959364 is 13928558.

It is a perfect power (a square), and thus also a powerful number.

It is a junction number, because it is equal to n+sod(n) for n = 194004727959293 and 194004727959302.

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 26 ways as a sum of consecutive naturals, for example, 3704970247 + ... + 3705022609.

Almost surely, 2194004727959364 is an apocalyptic number.

194004727959364 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

194004727959364 is the 13928558-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 194004727959364

194004727959364 is an abundant number, since it is smaller than the sum of its proper divisors (222821661043163).

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

194004727959364 is an frugal number, since it uses more digits than its factorization.

194004727959364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104782 (or 52391 counting only the distinct ones).

The product of its (nonzero) digits is 411505920, while the sum is 70.

The spelling of 194004727959364 in words is "one hundred ninety-four trillion, four billion, seven hundred twenty-seven million, nine hundred fifty-nine thousand, three hundred sixty-four".

Divisors: 1 2 4 7 14 19 28 38 49 76 98 133 196 266 361 532 722 931 1444 1862 2527 3724 5054 10108 17689 35378 52363 70756 104726 209452 366541 733082 994897 1466164 1989794 2565787 3979588 5131574 6964279 10263148 13928558 18903043 27857116 37806086 48749953 75612172 97499906 132321301 194999812 264642602 529285204 926249107 1852498214 2741883769 3704996428 5483767538 10967535076 19193186383 38386372766 52095791611 76772745532 104191583222 134352304681 208383166444 268704609362 364670541277 537409218724 729341082554 989820040609 1458682165108 1979640081218 2552693788939 3959280162436 5105387577878 6928740284263 10210775155756 13857480568526 27714961137052 48501181989841 97002363979682 194004727959364