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6396009156 = 223431718969
BaseRepresentation
bin1011111010011101…
…10101101011000100
3121111202012221010000
411331032311223010
5101044334243111
62534400401300
7314333116005
oct57516655304
917452187100
106396009156
112792420389
1212a6016230
137ac140a04
144496551ac
152767adc56
hex17d3b5ac4

6396009156 has 120 divisors (see below), whose sum is σ = 17504847360. Its totient is φ = 2033942400.

The previous prime is 6396009097. The next prime is 6396009173. The reversal of 6396009156 is 6519006936.

6396009156 is a `hidden beast` number, since 6 + 39 + 600 + 9 + 1 + 5 + 6 = 666.

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 39 ways as a sum of consecutive naturals, for example, 708640 + ... + 717608.

It is an arithmetic number, because the mean of its divisors is an integer number (145873728).

Almost surely, 26396009156 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 6396009156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8752423680).

6396009156 is an abundant number, since it is smaller than the sum of its proper divisors (11108838204).

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

6396009156 is a wasteful number, since it uses less digits than its factorization.

6396009156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9087 (or 9076 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The square root of 6396009156 is about 79975.0533353995. The cubic root of 6396009156 is about 1856.2495395163.

The spelling of 6396009156 in words is "six billion, three hundred ninety-six million, nine thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 71 81 93 108 124 142 162 186 213 279 284 324 372 426 558 639 837 852 1116 1278 1674 1917 2201 2511 2556 3348 3834 4402 5022 5751 6603 7668 8804 8969 10044 11502 13206 17938 19809 23004 26412 26907 35876 39618 53814 59427 79236 80721 107628 118854 161442 178281 237708 242163 278039 322884 356562 484326 556078 636799 713124 726489 834117 968652 1112156 1273598 1452978 1668234 1910397 2502351 2547196 2905956 3336468 3820794 5004702 5731191 7507053 7641588 10009404 11462382 15014106 17193573 19740769 22521159 22924764 30028212 34387146 39481538 45042318 51580719 59222307 68774292 78963076 90084636 103161438 118444614 177666921 206322876 236889228 355333842 533000763 710667684 1066001526 1599002289 2132003052 3198004578 6396009156