Search a number
-
+
75853973056 = 2617321992
BaseRepresentation
bin100011010100100111…
…1111100011001000000
321020210101122002020111
41012221033330121000
52220322104114211
654502525521104
75323506063331
oct1065117743100
9236711562214
1075853973056
112a195654734
121284b413194
1371cb1a5a34
143958292288
151e8e501421
hex11a93fc640

75853973056 has 63 divisors (see below), whose sum is σ = 152162446881. Its totient is φ = 37518269184.

The previous prime is 75853973009. The next prime is 75853973071. The reversal of 75853973056 is 65037935857.

The square root of 75853973056 is 275416.

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

It can be written as a sum of positive squares in only one way, i.e., 69000782400 + 6853190656 = 262680^2 + 82784^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 381175645 + ... + 381175843.

Almost surely, 275853973056 is an apocalyptic number.

75853973056 is the 275416-th square number.

It is an amenable number.

75853973056 is an abundant number, since it is smaller than the sum of its proper divisors (76308473825).

75853973056 is an frugal number, since it uses more digits than its factorization.

75853973056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 23814000, while the sum is 58.

The spelling of 75853973056 in words is "seventy-five billion, eight hundred fifty-three million, nine hundred seventy-three thousand, fifty-six".

Divisors: 1 2 4 8 16 32 64 173 199 346 398 692 796 1384 1592 2768 3184 5536 6368 11072 12736 29929 34427 39601 59858 68854 79202 119716 137708 158404 239432 275416 316808 478864 550832 633616 957728 1101664 1267232 1915456 2203328 2534464 5955871 6850973 11911742 13701946 23823484 27403892 47646968 54807784 95293936 109615568 190587872 219231136 381175744 438462272 1185218329 2370436658 4740873316 9481746632 18963493264 37926986528 75853973056