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428019292168 = 231328119517507
BaseRepresentation
bin1100011101001111111…
…00000001100000001000
31111220210101210220000121
412032213330001200020
524003040414322133
6524343534513024
742631500645316
oct6164774014010
91456711726017
10428019292168
11155581806306
126ab52965774
1331492552270
1416a055350b6
15b2016c102d
hex63a7f01808

428019292168 has 64 divisors (see below), whose sum is σ = 867905579520. Its totient is φ = 196717248000.

The previous prime is 428019292159. The next prime is 428019292193. The reversal of 428019292168 is 861292910824.

It is a happy number.

It is a super-2 number, since 2×4280192921682 (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (52) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57012271 + ... + 57019777.

It is an arithmetic number, because the mean of its divisors is an integer number (13561024680).

Almost surely, 2428019292168 is an apocalyptic number.

It is an amenable number.

428019292168 is an abundant number, since it is smaller than the sum of its proper divisors (439886287352).

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

428019292168 is a wasteful number, since it uses less digits than its factorization.

428019292168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9758 (or 9754 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 52.

The spelling of 428019292168 in words is "four hundred twenty-eight billion, nineteen million, two hundred ninety-two thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 13 26 52 104 281 562 1124 1951 2248 3653 3902 7306 7507 7804 14612 15014 15608 25363 29224 30028 50726 60056 97591 101452 195182 202904 390364 548231 780728 1096462 2109467 2192924 4218934 4385848 7127003 8437868 14254006 14646157 16875736 27423071 28508012 29292314 54846142 57016024 58584628 109692284 117169256 190400041 219384568 380800082 761600164 1523200328 4115570117 8231140234 16462280468 32924560936 53502411521 107004823042 214009646084 428019292168