Search a number
-
+
8612066844 = 22321989193733
BaseRepresentation
bin10000000010101000…
…11011011000011100
3211020012010022202200
420001110123120130
5120114142114334
63542322251500
7423262234413
oct100124333034
924205108680
108612066844
11371a318317
1218041b6b90
13a732a5254
145b9ab247a
153560ed799
hex20151b61c

8612066844 has 144 divisors (see below), whose sum is σ = 23324464800. Its totient is φ = 2671460352.

The previous prime is 8612066843. The next prime is 8612066857. The reversal of 8612066844 is 4486602168.

It is a self number, because there is not a number n which added to its sum of digits gives 8612066844.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8612066843) 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 47 ways as a sum of consecutive naturals, for example, 11748702 + ... + 11749434.

It is an arithmetic number, because the mean of its divisors is an integer number (161975450).

Almost surely, 28612066844 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 8612066844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11662232400).

8612066844 is an abundant number, since it is smaller than the sum of its proper divisors (14712397956).

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

8612066844 is a wasteful number, since it uses less digits than its factorization.

8612066844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1044 (or 1039 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 8612066844 is about 92801.2222117791. Note that the first 4 decimals coincide. The cubic root of 8612066844 is about 2049.7574048838.

The spelling of 8612066844 in words is "eight billion, six hundred twelve million, sixty-six thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 89 114 171 178 193 228 267 342 356 386 534 579 684 733 772 801 1068 1158 1466 1602 1691 1737 2199 2316 2932 3204 3382 3474 3667 4398 5073 6597 6764 6948 7334 8796 10146 11001 13194 13927 14668 15219 17177 20292 22002 26388 27854 30438 33003 34354 41781 44004 51531 55708 60876 65237 66006 68708 83562 103062 125343 130474 132012 141469 154593 167124 195711 206124 250686 260948 282938 309186 326363 391422 424407 501372 565876 587133 618372 652726 782844 848814 979089 1174266 1239503 1273221 1305452 1697628 1958178 2348532 2479006 2546442 2687911 2937267 3718509 3916356 4958012 5092884 5375822 5874534 7437018 8063733 10751644 11155527 11749068 12590741 14874036 16127466 22311054 24191199 25181482 32254932 37772223 44622108 48382398 50362964 75544446 96764796 113316669 151088892 226633338 239224079 453266676 478448158 717672237 956896316 1435344474 2153016711 2870688948 4306033422 8612066844