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4094668193 = 72112712137
BaseRepresentation
bin1111010000001111…
…1010110110100001
3101120100211200210112
43310003322312201
531341213340233
61514150541105
7203320051100
oct36403726641
911510750715
104094668193
111811373900
12963367795
135034193b5
142abb58037
1518e725048
hexf40fada1

4094668193 has 54 divisors (see below), whose sum is σ = 5349108114. Its totient is φ = 3122750400.

The previous prime is 4094668181. The next prime is 4094668231. The reversal of 4094668193 is 3918664904.

It can be written as a sum of positive squares in only one way, i.e., 3616458769 + 478209424 = 60137^2 + 21868^2 .

It is not a de Polignac number, because 4094668193 - 210 = 4094667169 is a prime.

It is a super-2 number, since 2×40946681932 = 33532615221531770498, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4094668393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 29888021 + ... + 29888157.

Almost surely, 24094668193 is an apocalyptic number.

It is an amenable number.

4094668193 is a deficient number, since it is larger than the sum of its proper divisors (1254439921).

4094668193 is a wasteful number, since it uses less digits than its factorization.

4094668193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 50.

The square root of 4094668193 is about 63989.5944119042. The cubic root of 4094668193 is about 1599.8265688319.

The spelling of 4094668193 in words is "four billion, ninety-four million, six hundred sixty-eight thousand, one hundred ninety-three".

Divisors: 1 7 11 49 71 77 121 137 497 539 781 847 959 1507 3479 5041 5467 5929 6713 8591 9727 10549 16577 35287 38269 55451 60137 68089 73843 106997 116039 247009 388157 420959 476623 609961 690617 748979 812273 1176967 2717099 4269727 4834319 5242853 7596787 8238769 29888089 33840233 53177509 57671383 83564657 372242563 584952599 4094668193