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3426563196 = 2233721121481
BaseRepresentation
bin1100110000111101…
…0011010001111100
322211210200110001000
43030033103101330
524004200010241
61324003050300
7150625210110
oct31417232174
98753613030
103426563196
1114a9229711
127b7670990
13427b966b4
14247123740
15150c52eb6
hexcc3d347c

3426563196 has 96 divisors (see below), whose sum is σ = 10201372160. Its totient is φ = 974332800.

The previous prime is 3426563191. The next prime is 3426563209. The reversal of 3426563196 is 6913656243.

3426563196 is a `hidden beast` number, since 3 + 4 + 2 + 6 + 5 + 631 + 9 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3426563191) 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 31 ways as a sum of consecutive naturals, for example, 148776 + ... + 170256.

Almost surely, 23426563196 is an apocalyptic number.

3426563196 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3426563196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5100686080).

3426563196 is an abundant number, since it is smaller than the sum of its proper divisors (6774808964).

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

3426563196 is a wasteful number, since it uses less digits than its factorization.

3426563196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21712 (or 21704 counting only the distinct ones).

The product of its digits is 699840, while the sum is 45.

The square root of 3426563196 is about 58536.8533148136. The cubic root of 3426563196 is about 1507.6004160728.

It can be divided in two parts, 34265 and 63196, that added together give a triangular number (97461 = T441).

The spelling of 3426563196 in words is "three billion, four hundred twenty-six million, five hundred sixty-three thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 211 252 378 422 633 756 844 1266 1477 1899 2532 2954 3798 4431 5697 5908 7596 8862 11394 13293 17724 21481 22788 26586 39879 42962 53172 64443 79758 85924 128886 150367 159516 193329 257772 300734 386658 451101 579987 601468 773316 902202 1159974 1353303 1804404 2319948 2706606 4059909 4532491 5413212 8119818 9064982 13597473 16239636 18129964 27194946 31727437 40792419 54389892 63454874 81584838 95182311 122377257 126909748 163169676 190364622 244754514 285546933 380729244 489509028 571093866 856640799 1142187732 1713281598 3426563196