Search a number
-
+
33730260964 = 2222924012
BaseRepresentation
bin11111011010011110…
…101110111111100100
310020001201102210102121
4133122132232333210
51023034421322324
623255004315324
72302603326151
oct373236567744
9106051383377
1033730260964
1113339942334
126654242b44
1332471526ca
1418bda25228
15d2636b5e4
hex7da7aefe4

33730260964 has 27 divisors (see below), whose sum is σ = 59435062491. Its totient is φ = 16749609600.

The previous prime is 33730260959. The next prime is 33730260989. The reversal of 33730260964 is 46906203733.

The square root of 33730260964 is 183658.

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

It can be written as a sum of positive squares in 4 ways, for example, as 29432147364 + 4298113600 = 171558^2 + 65560^2 .

It is a super-2 number, since 2×337302609642 (a number of 22 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 33730260964.

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, 84115164 + ... + 84115564.

Almost surely, 233730260964 is an apocalyptic number.

33730260964 is the 183658-th square number.

It is an amenable number.

33730260964 is a deficient number, since it is larger than the sum of its proper divisors (25704801527).

33730260964 is an frugal number, since it uses more digits than its factorization.

33730260964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1264 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 43.

The spelling of 33730260964 in words is "thirty-three billion, seven hundred thirty million, two hundred sixty thousand, nine hundred sixty-four".

Divisors: 1 2 4 229 401 458 802 916 1604 52441 91829 104882 160801 183658 209764 321602 367316 643204 21028841 36823429 42057682 73646858 84115364 147293716 8432565241 16865130482 33730260964