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4134604194 = 2327472412897
BaseRepresentation
bin1111011001110001…
…0000110110100010
3101200010222122200200
43312130100312202
531431424313234
61522134530030
7204313361430
oct36634206642
911603878620
104134604194
111831970366
12974806916
1350b78ca76
142b3191d50
15192eb2d99
hexf6710da2

4134604194 has 96 divisors (see below), whose sum is σ = 10502908416. Its totient is φ = 1150986240.

The previous prime is 4134604181. The next prime is 4134604259. The reversal of 4134604194 is 4914064314.

It is a happy number.

4134604194 is a `hidden beast` number, since 4 + 1 + 3 + 460 + 4 + 194 = 666.

4134604194 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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, 1425754 + ... + 1428650.

It is an arithmetic number, because the mean of its divisors is an integer number (109405296).

Almost surely, 24134604194 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4134604194, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5251454208).

4134604194 is an abundant number, since it is smaller than the sum of its proper divisors (6368304222).

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

4134604194 is a wasteful number, since it uses less digits than its factorization.

4134604194 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3200 (or 3197 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 4134604194 is about 64300.8879720957. The cubic root of 4134604194 is about 1605.0108783145.

The spelling of 4134604194 in words is "four billion, one hundred thirty-four million, six hundred four thousand, one hundred ninety-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 47 63 94 126 141 241 282 329 423 482 658 723 846 987 1446 1687 1974 2169 2897 2961 3374 4338 5061 5794 5922 8691 10122 11327 15183 17382 20279 22654 26073 30366 33981 40558 52146 60837 67962 79289 101943 121674 136159 158578 182511 203886 237867 272318 365022 408477 475734 698177 713601 816954 953113 1225431 1396354 1427202 1906226 2094531 2450862 2859339 4189062 4887239 5718678 6283593 8578017 9774478 12567186 14661717 17156034 29323434 32814319 43985151 65628638 87970302 98442957 196885914 229700233 295328871 459400466 590657742 689100699 1378201398 2067302097 4134604194