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468003108645 = 325101137751613
BaseRepresentation
bin1101100111101110010…
…10001011011100100101
31122201222221102012220100
412303313022023130211
530131432243434040
6554555254454313
745545360533662
oct6636712133445
91581887365810
10468003108645
1117052a610436
1276851364399
1335195159577
14189198cca69
15c291a5cb30
hex6cf728b725

468003108645 has 48 divisors (see below), whose sum is σ = 825218055792. Its totient is φ = 245326156800.

The previous prime is 468003108607. The next prime is 468003108667. The reversal of 468003108645 is 546801300864.

It can be written as a sum of positive squares in 8 ways, for example, as 3379561956 + 464623546689 = 58134^2 + 681633^2 .

It is not a de Polignac number, because 468003108645 - 214 = 468003092261 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 468003108645.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 246859 + ... + 998471.

It is an arithmetic number, because the mean of its divisors is an integer number (17192042829).

Almost surely, 2468003108645 is an apocalyptic number.

468003108645 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

468003108645 is a deficient number, since it is larger than the sum of its proper divisors (357214947147).

468003108645 is a wasteful number, since it uses less digits than its factorization.

468003108645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 751862 (or 751859 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 468003108645 in words is "four hundred sixty-eight billion, three million, one hundred eight thousand, six hundred forty-five".

Divisors: 1 3 5 9 15 45 101 137 303 411 505 685 909 1233 1515 2055 4545 6165 13837 41511 69185 124533 207555 622665 751613 2254839 3758065 6764517 11274195 33822585 75912913 102970981 227738739 308912943 379564565 514854905 683216217 926738829 1138693695 1544564715 3416081085 4633694145 10400069081 31200207243 52000345405 93600621729 156001036215 468003108645