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8553427992 = 2332316475923
BaseRepresentation
bin1111111011101001…
…01111010000011000
3211002002210011101100
413331310233100120
5120004134143432
63532425351400
7421650636564
oct77564572030
924062704340
108553427992
11369a20705a
1217a8638560
13a640b39c5
145b1daa6a4
15350db907c
hex1fdd2f418

8553427992 has 96 divisors (see below), whose sum is σ = 23953812480. Its totient is φ = 2754440640.

The previous prime is 8553427969. The next prime is 8553428021. The reversal of 8553427992 is 2997243558.

8553427992 is a `hidden beast` number, since 85 + 53 + 427 + 9 + 92 = 666.

It is a super-2 number, since 2×85534279922 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 1441143 + ... + 1447065.

It is an arithmetic number, because the mean of its divisors is an integer number (249518880).

Almost surely, 28553427992 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 8553427992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11976906240).

8553427992 is an abundant number, since it is smaller than the sum of its proper divisors (15400384488).

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

8553427992 is a wasteful number, since it uses less digits than its factorization.

8553427992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6613 (or 6606 counting only the distinct ones).

The product of its digits is 5443200, while the sum is 54.

The square root of 8553427992 is about 92484.7446447251. The cubic root of 8553427992 is about 2045.0945962861.

It can be divided in two parts, 85534 and 27992, that added together give a triangular number (113526 = T476).

The spelling of 8553427992 in words is "eight billion, five hundred fifty-three million, four hundred twenty-seven thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 248 279 372 558 647 744 1116 1294 1941 2232 2588 3882 5176 5823 5923 7764 11646 11846 15528 17769 20057 23292 23692 35538 40114 46584 47384 53307 60171 71076 80228 106614 120342 142152 160456 180513 183613 213228 240684 361026 367226 426456 481368 550839 722052 734452 1101678 1444104 1468904 1652517 2203356 3305034 3832181 4406712 6610068 7664362 11496543 13220136 15328724 22993086 30657448 34489629 45986172 68979258 91972344 118797611 137958516 237595222 275917032 356392833 475190444 712785666 950380888 1069178499 1425571332 2138356998 2851142664 4276713996 8553427992