Search a number
-
+
9396387072 = 28331971549
BaseRepresentation
bin10001100000001000…
…10111110100000000
3220020211221220212000
420300010113310000
5123220433341242
64152221104000
7451564654332
oct106004276400
926224856760
109396387072
113a92019756
1219a29b8000
13b69928267
14651d19452
1539edc9a4c
hex230117d00

9396387072 has 144 divisors (see below), whose sum is σ = 29249640000. Its totient is φ = 2967238656.

The previous prime is 9396387071. The next prime is 9396387107. The reversal of 9396387072 is 2707836939.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9396387071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95554 + ... + 167102.

It is an arithmetic number, because the mean of its divisors is an integer number (203122500).

Almost surely, 29396387072 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 9396387072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14624820000).

9396387072 is an abundant number, since it is smaller than the sum of its proper divisors (19853252928).

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

9396387072 is a wasteful number, since it uses less digits than its factorization.

9396387072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71593 (or 71573 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The square root of 9396387072 is about 96934.9631041349. The cubic root of 9396387072 is about 2110.1838726280.

The spelling of 9396387072 in words is "nine billion, three hundred ninety-six million, three hundred eighty-seven thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 96 108 114 128 144 152 171 192 216 228 256 288 304 342 384 432 456 513 576 608 684 768 864 912 1026 1152 1216 1368 1728 1824 2052 2304 2432 2736 3456 3648 4104 4864 5472 6912 7296 8208 10944 14592 16416 21888 32832 43776 65664 71549 131328 143098 214647 286196 429294 572392 643941 858588 1144784 1287882 1359431 1717176 1931823 2289568 2575764 2718862 3434352 3863646 4078293 4579136 5151528 5437724 6868704 7727292 8156586 9158272 10303056 10875448 12234879 13737408 15454584 16313172 18316544 20606112 21750896 24469758 27474816 30909168 32626344 36704637 41212224 43501792 48939516 54949632 61818336 65252688 73409274 82424448 87003584 97879032 123636672 130505376 146818548 164848896 174007168 195758064 247273344 261010752 293637096 348014336 391516128 494546688 522021504 587274192 783032256 1044043008 1174548384 1566064512 2349096768 3132129024 4698193536 9396387072