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3426158016 = 263223258617
BaseRepresentation
bin1100110000110111…
…0000010111000000
322211202220212020100
43030031300113000
524004044024031
61323550242400
7150621601611
oct31415602700
98752825210
103426158016
1114a8a82256
127b74b6400
13427a84148
14247059c08
15150bc2de6
hexcc3705c0

3426158016 has 84 divisors (see below), whose sum is σ = 10247479632. Its totient is φ = 1092393984.

The previous prime is 3426158011. The next prime is 3426158027. The reversal of 3426158016 is 6108516243.

It is a happy number.

3426158016 is a `hidden beast` number, since 3 + 4 + 2 + 61 + 580 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3426158011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 116061 + ... + 142556.

Almost surely, 23426158016 is an apocalyptic number.

3426158016 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3426158016 is an abundant number, since it is smaller than the sum of its proper divisors (6821321616).

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

3426158016 is a wasteful number, since it uses less digits than its factorization.

3426158016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258658 (or 258645 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 3426158016 is about 58533.3923158397. The cubic root of 3426158016 is about 1507.5409907750.

The spelling of 3426158016 in words is "three billion, four hundred twenty-six million, one hundred fifty-eight thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 64 69 72 92 96 138 144 184 192 207 276 288 368 414 552 576 736 828 1104 1472 1656 2208 3312 4416 6624 13248 258617 517234 775851 1034468 1551702 2068936 2327553 3103404 4137872 4655106 5948191 6206808 8275744 9310212 11896382 12413616 16551488 17844573 18620424 23792764 24827232 35689146 37240848 47585528 49654464 53533719 71378292 74481696 95171056 107067438 142756584 148963392 190342112 214134876 285513168 380684224 428269752 571026336 856539504 1142052672 1713079008 3426158016