Search a number
-
+
129392405190 = 23253476341357
BaseRepresentation
bin111100010000001100…
…0110110101011000110
3110100222120122020020100
41320200120312223012
54104443423431230
6135235252144530
712230315203626
oct1704030665306
9410876566210
10129392405190
114a969704164
12210b1308146
13c28104a089
146396906886
153574845660
hex1e20636ac6

129392405190 has 48 divisors (see below), whose sum is σ = 336438065808. Its totient is φ = 34502814528.

The previous prime is 129392405171. The next prime is 129392405209. The reversal of 129392405190 is 91504293921.

129392405190 is a `hidden beast` number, since 1 + 2 + 9 + 3 + 92 + 40 + 519 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (129392405171) and next prime (129392405209).

It is a super-2 number, since 2×1293924051902 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 3107992 + ... + 3149348.

It is an arithmetic number, because the mean of its divisors is an integer number (7009126371).

Almost surely, 2129392405190 is an apocalyptic number.

129392405190 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

129392405190 is an abundant number, since it is smaller than the sum of its proper divisors (207045660618).

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

129392405190 is a wasteful number, since it uses less digits than its factorization.

129392405190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76133 (or 76130 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 129392405190 in words is "one hundred twenty-nine billion, three hundred ninety-two million, four hundred five thousand, one hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 34763 41357 69526 82714 104289 124071 173815 206785 208578 248142 312867 347630 372213 413570 521445 620355 625734 744426 1042890 1240710 1564335 1861065 3128670 3722130 1437693391 2875386782 4313080173 7188466955 8626160346 12939240519 14376933910 21565400865 25878481038 43130801730 64696202595 129392405190