Search a number
-
+
600215869696 = 2841211812
BaseRepresentation
bin10001011101111111010…
…01110101100100000000
32010101021002001101001011
420232333221311210000
534313220230312241
61135422501050304
761235623466512
oct10567751654400
92111232041034
10600215869696
11211606235703
12983ab0b6994
13447a55acc61
142109cbd7bb2
151092dcae281
hex8bbfa75900

600215869696 has 81 divisors (see below), whose sum is σ = 1229062202179. Its totient is φ = 292540313600.

The previous prime is 600215869667. The next prime is 600215869733. The reversal of 600215869696 is 696968512006.

The square root of 600215869696 is 774736.

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

600215869696 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2996029696 + 597219840000 = 54736^2 + 772800^2 .

It is a super-2 number, since 2×6002158696962 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 600215869696.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 508226226 + ... + 508227406.

Almost surely, 2600215869696 is an apocalyptic number.

600215869696 is the 774736-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 600215869696

600215869696 is an abundant number, since it is smaller than the sum of its proper divisors (628846332483).

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

600215869696 is an frugal number, since it uses more digits than its factorization.

600215869696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2460 (or 1224 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 58.

The spelling of 600215869696 in words is "six hundred billion, two hundred fifteen million, eight hundred sixty-nine thousand, six hundred ninety-six".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 256 328 656 1181 1312 1681 2362 2624 3362 4724 5248 6724 9448 10496 13448 18896 26896 37792 48421 53792 75584 96842 107584 151168 193684 215168 302336 387368 430336 774736 1394761 1549472 1985261 2789522 3098944 3970522 5579044 6197888 7941044 11158088 12395776 15882088 22316176 31764176 44632352 57185201 63528352 89264704 114370402 127056704 178529408 228740804 254113408 357058816 457481608 508226816 914963216 1829926432 2344593241 3659852864 4689186482 7319705728 9378372964 14639411456 18756745928 37513491856 75026983712 150053967424 300107934848 600215869696