Search a number
-
+
9229346784256 = 21013926832
BaseRepresentation
bin1000011001001101111111…
…1011111100010000000000
31012200022120001020121200011
42012103133323330100000
52202203200234044011
631343523044034304
71641540550162114
oct206233773742000
935608501217604
109229346784256
112a39164718735
121050861692994
1351c429135361
1423c9ba575744
15110123249621
hex864dfefc400

9229346784256 has 99 divisors (see below), whose sum is σ = 18610615232391. Its totient is φ = 4574766434304.

The previous prime is 9229346784211. The next prime is 9229346784257. The reversal of 9229346784256 is 6524876439229.

The square root of 9229346784256 is 3037984.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 9229346784191 and 9229346784200.

It is not an unprimeable number, because it can be changed into a prime (9229346784257) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 13512952491 + ... + 13512953173.

Almost surely, 29229346784256 is an apocalyptic number.

9229346784256 is the 3037984-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9229346784256

9229346784256 is an abundant number, since it is smaller than the sum of its proper divisors (9381268448135).

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

9229346784256 is an frugal number, since it uses more digits than its factorization.

9229346784256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1664 (or 824 counting only the distinct ones).

The product of its digits is 313528320, while the sum is 67.

The spelling of 9229346784256 in words is "nine trillion, two hundred twenty-nine billion, three hundred forty-six million, seven hundred eighty-four thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 128 139 256 278 512 556 683 1024 1112 1366 2224 2732 4448 5464 8896 10928 17792 19321 21856 35584 38642 43712 71168 77284 87424 94937 142336 154568 174848 189874 309136 349696 379748 466489 618272 699392 759496 932978 1236544 1518992 1865956 2473088 3037984 3731912 4946176 6075968 7463824 9892352 12151936 13196243 14927648 19784704 24303872 26392486 29855296 48607744 52784972 59710592 64841971 97215488 105569944 119421184 129683942 211139888 238842368 259367884 422279776 477684736 518735768 844559552 1037471536 1689119104 2074943072 3378238208 4149886144 6756476416 8299772288 9013033969 13512952832 16599544576 18026067938 33199089152 36052135876 66398178304 72104271752 144208543504 288417087008 576834174016 1153668348032 2307336696064 4614673392128 9229346784256