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6156198828 = 22331323311019
BaseRepresentation
bin1011011101111000…
…00010001110101100
3120220000222022012000
411232330002032230
5100101441330303
62454512412300
7305361553353
oct55674021654
916800868160
106156198828
11267a01732a
121239847090
13771558300
1442586c99a
152606ddda3
hex16ef023ac

6156198828 has 144 divisors (see below), whose sum is σ = 17351913600. Its totient is φ = 1886639040.

The previous prime is 6156198823. The next prime is 6156198857. The reversal of 6156198828 is 8288916516.

It is a happy number.

6156198828 is a `hidden beast` number, since 6 + 15 + 619 + 8 + 8 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (6156198823) 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 47 ways as a sum of consecutive naturals, for example, 6040903 + ... + 6041921.

It is an arithmetic number, because the mean of its divisors is an integer number (120499400).

Almost surely, 26156198828 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 6156198828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8675956800).

6156198828 is an abundant number, since it is smaller than the sum of its proper divisors (11195714772).

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

6156198828 is a wasteful number, since it uses less digits than its factorization.

6156198828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1389 (or 1368 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 54.

The square root of 6156198828 is about 78461.4480365995. The cubic root of 6156198828 is about 1832.7541544433.

The spelling of 6156198828 in words is "six billion, one hundred fifty-six million, one hundred ninety-eight thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 169 234 331 338 351 468 507 662 676 702 993 1014 1019 1324 1404 1521 1986 2028 2038 2979 3042 3057 3972 4076 4303 4563 5958 6084 6114 8606 8937 9126 9171 11916 12228 12909 13247 17212 17874 18252 18342 25818 26494 27513 35748 36684 38727 39741 51636 52988 55026 55939 77454 79482 110052 111878 116181 119223 154908 158964 167817 172211 223756 232362 238446 335634 337289 344422 357669 464724 476892 503451 516633 671268 674578 688844 715338 1006902 1011867 1033266 1349156 1430676 1510353 1549899 2013804 2023734 2066532 3020706 3035601 3099798 4047468 4384757 4649697 6041412 6071202 6199596 8769514 9106803 9299394 12142404 13154271 17539028 18213606 18598788 26308542 36427212 39462813 52617084 57001841 78925626 114003682 118388439 157851252 171005523 228007364 236776878 342011046 473553756 513016569 684022092 1026033138 1539049707 2052066276 3078099414 6156198828