Search a number
-
+
3136073652 = 2233198871723
BaseRepresentation
bin1011101011101100…
…1010111110110100
322002120002001022000
42322323022332310
522410313324102
61235104535300
7140500120605
oct27273127664
98076061260
103136073652
11136a260608
12736321530
133ac9486aa
1421a707dac
151354c201c
hexbaecafb4

3136073652 has 96 divisors (see below), whose sum is σ = 8573107200. Its totient is φ = 988648416.

The previous prime is 3136073627. The next prime is 3136073683. The reversal of 3136073652 is 2563706313.

3136073652 is a `hidden beast` number, since 3 + 13 + 607 + 36 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1819263 + ... + 1820985.

It is an arithmetic number, because the mean of its divisors is an integer number (89303200).

Almost surely, 23136073652 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 3136073652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4286553600).

3136073652 is an abundant number, since it is smaller than the sum of its proper divisors (5437033548).

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

3136073652 is a wasteful number, since it uses less digits than its factorization.

3136073652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2642 (or 2634 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 36.

The square root of 3136073652 is about 56000.6576032818. The cubic root of 3136073652 is about 1463.7337428984.

Adding to 3136073652 its reverse (2563706313), we get a palindrome (5699779965).

The spelling of 3136073652 in words is "three billion, one hundred thirty-six million, seventy-three thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 108 114 171 228 342 513 684 887 1026 1723 1774 2052 2661 3446 3548 5169 5322 6892 7983 10338 10644 15507 15966 16853 20676 23949 31014 31932 32737 33706 46521 47898 50559 62028 65474 67412 93042 95796 98211 101118 130948 151677 186084 196422 202236 294633 303354 392844 455031 589266 606708 883899 910062 1178532 1528301 1767798 1820124 3056602 3535596 4584903 6113204 9169806 13754709 18339612 27509418 29037719 41264127 55018836 58075438 82528254 87113157 116150876 165056508 174226314 261339471 348452628 522678942 784018413 1045357884 1568036826 3136073652