Search a number
-
+
4511780052 = 22313193149103
BaseRepresentation
bin1000011001110110…
…00100110011010100
3102122102201011200220
410030323010303110
533220003430202
62023411034340
7216543332463
oct41473046324
912572634626
104511780052
111a0586714a
12a5ab9b9b0
1356b96c650
1430b2d49da
151b6168abc
hex10cec4cd4

4511780052 has 96 divisors (see below), whose sum is σ = 12319211520. Its totient is φ = 1272723840.

The previous prime is 4511780017. The next prime is 4511780057. The reversal of 4511780052 is 2500871154.

It is a junction number, because it is equal to n+sod(n) for n = 4511779995 and 4511780022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4511780057) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67333 + ... + 116435.

It is an arithmetic number, because the mean of its divisors is an integer number (128325120).

Almost surely, 24511780052 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 4511780052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6159605760).

4511780052 is an abundant number, since it is smaller than the sum of its proper divisors (7807431468).

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

4511780052 is a wasteful number, since it uses less digits than its factorization.

4511780052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49173 (or 49171 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 33.

The square root of 4511780052 is about 67169.7852609341. The cubic root of 4511780052 is about 1652.4029941767.

The spelling of 4511780052 in words is "four billion, five hundred eleven million, seven hundred eighty thousand, fifty-two".

Divisors: 1 2 3 4 6 12 13 19 26 31 38 39 52 57 62 76 78 93 114 124 156 186 228 247 372 403 494 589 741 806 988 1178 1209 1482 1612 1767 2356 2418 2964 3534 4836 7068 7657 15314 22971 30628 45942 49103 91884 98206 147309 196412 294618 589236 638339 932957 1276678 1522193 1865914 1915017 2553356 2798871 3044386 3731828 3830034 4566579 5597742 6088772 7660068 9133158 11195484 12128441 18266316 19788509 24256882 28921667 36385323 39577018 48513764 57843334 59365527 72770646 79154036 86765001 115686668 118731054 145541292 173530002 237462108 347060004 375981671 751963342 1127945013 1503926684 2255890026 4511780052