Search a number
-
+
4198356312 = 2331714969061
BaseRepresentation
bin1111101000111101…
…1101010101011000
3101211120221121011020
43322033131111120
532044234400222
61532333202440
7206016303603
oct37217352530
911746847136
104198356312
111864954267
12992030420
1351ba51807
142bb82933a
151988a765c
hexfa3dd558

4198356312 has 64 divisors (see below), whose sum is σ = 11188044000. Its totient is φ = 1308272640.

The previous prime is 4198356301. The next prime is 4198356341. The reversal of 4198356312 is 2136538914.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26262 + ... + 95322.

Almost surely, 24198356312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4198356312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5594022000).

4198356312 is an abundant number, since it is smaller than the sum of its proper divisors (6989687688).

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

4198356312 is a wasteful number, since it uses less digits than its factorization.

4198356312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69236 (or 69232 counting only the distinct ones).

The product of its digits is 155520, while the sum is 42.

The square root of 4198356312 is about 64794.7244148781. The cubic root of 4198356312 is about 1613.2181444902.

The spelling of 4198356312 in words is "four billion, one hundred ninety-eight million, three hundred fifty-six thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 149 204 298 408 447 596 894 1192 1788 2533 3576 5066 7599 10132 15198 20264 30396 60792 69061 138122 207183 276244 414366 552488 828732 1174037 1657464 2348074 3522111 4696148 7044222 9392296 10290089 14088444 20580178 28176888 30870267 41160356 61740534 82320712 123481068 174931513 246962136 349863026 524794539 699726052 1049589078 1399452104 2099178156 4198356312