Search a number
-
+
57760267048 = 23117117353437
BaseRepresentation
bin110101110010110001…
…111011101100101000
312112002102010120201221
4311302301323230220
51421243112021143
642311254551424
74113232112011
oct656261735450
9175072116657
1057760267048
112255018a5a0
12b23b968574
1355a6726713
142b1d232008
151780cd82ed
hexd72c7bb28

57760267048 has 64 divisors (see below), whose sum is σ = 120504827520. Its totient is φ = 25734777600.

The previous prime is 57760267009. The next prime is 57760267067. The reversal of 57760267048 is 84076206775.

It is a junction number, because it is equal to n+sod(n) for n = 57760266986 and 57760267004.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1054186 + ... + 1107622.

It is an arithmetic number, because the mean of its divisors is an integer number (1882887930).

Almost surely, 257760267048 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 57760267048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60252413760).

57760267048 is an abundant number, since it is smaller than the sum of its proper divisors (62744560472).

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

57760267048 is a wasteful number, since it uses less digits than its factorization.

57760267048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53698 (or 53694 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 52.

The spelling of 57760267048 in words is "fifty-seven billion, seven hundred sixty million, two hundred sixty-seven thousand, forty-eight".

Divisors: 1 2 4 8 11 22 44 71 88 142 173 284 346 568 692 781 1384 1562 1903 3124 3806 6248 7612 12283 15224 24566 49132 53437 98264 106874 135113 213748 270226 427496 540452 587807 1080904 1175614 2351228 3794027 4702456 7588054 9244601 15176108 18489202 30352216 36978404 41734297 73956808 83468594 101690611 166937188 203381222 333874376 406762444 656366671 813524888 1312733342 2625466684 5250933368 7220033381 14440066762 28880133524 57760267048