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645218136 = 233417371583
BaseRepresentation
bin100110011101010…
…011111101011000
31122222002110220000
4212131103331120
52310133440021
6144005133000
721663156303
oct4635237530
91588073800
10645218136
11301232a32
121600ba160
13a389b5a4
1461997b3a
153b9a0b26
hex26753f58

645218136 has 160 divisors (see below), whose sum is σ = 1966472640. Its totient is φ = 196826112.

The previous prime is 645218117. The next prime is 645218137. The reversal of 645218136 is 631812546.

It is a happy number.

645218136 is a `hidden beast` number, since 645 + 2 + 1 + 8 + 1 + 3 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 645218136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (645218137) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 406801 + ... + 408383.

It is an arithmetic number, because the mean of its divisors is an integer number (12290454).

Almost surely, 2645218136 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 645218136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (983236320).

645218136 is an abundant number, since it is smaller than the sum of its proper divisors (1321254504).

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

645218136 is a wasteful number, since it uses less digits than its factorization.

645218136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1655 (or 1642 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 645218136 is about 25401.1443836690. The cubic root of 645218136 is about 864.1096504355.

The spelling of 645218136 in words is "six hundred forty-five million, two hundred eighteen thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 37 51 54 68 72 74 81 102 108 111 136 148 153 162 204 216 222 296 306 324 333 408 444 459 612 629 648 666 888 918 999 1224 1258 1332 1377 1583 1836 1887 1998 2516 2664 2754 2997 3166 3672 3774 3996 4749 5032 5508 5661 5994 6332 7548 7992 9498 11016 11322 11988 12664 14247 15096 16983 18996 22644 23976 26911 28494 33966 37992 42741 45288 50949 53822 56988 58571 67932 80733 85482 101898 107644 113976 117142 128223 135864 161466 170964 175713 203796 215288 234284 242199 256446 322932 341928 351426 407592 468568 484398 512892 527139 645864 702852 726597 968796 995707 1025784 1054278 1405704 1453194 1581417 1937592 1991414 2108556 2179791 2906388 2987121 3162834 3982828 4217112 4359582 4744251 5812776 5974242 6325668 7965656 8719164 8961363 9488502 11948484 12651336 17438328 17922726 18977004 23896968 26884089 35845452 37954008 53768178 71690904 80652267 107536356 161304534 215072712 322609068 645218136