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468001460673 = 325961115112553
BaseRepresentation
bin1101100111101110000…
…11111001000111000001
31122201222211022111022100
412303313003321013001
530131431333220143
6554555155301013
745545340531255
oct6636703710701
91581884274270
10468001460673
1117052969527a
12768508aa769
1335194a00436
14189195c0265
15c2918346d3
hex6cf70f91c1

468001460673 has 48 divisors (see below), whose sum is σ = 699392378880. Its totient is φ = 301398624000.

The previous prime is 468001460671. The next prime is 468001460681. The reversal of 468001460673 is 376064100864.

It is a happy number.

468001460673 is a `hidden beast` number, since 46 + 80 + 0 + 1 + 460 + 6 + 73 = 666.

It is not a de Polignac number, because 468001460673 - 21 = 468001460671 is a prime.

It is a super-2 number, since 2×4680014606732 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (468001460671) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37275765 + ... + 37288317.

It is an arithmetic number, because the mean of its divisors is an integer number (14570674560).

Almost surely, 2468001460673 is an apocalyptic number.

It is an amenable number.

468001460673 is a deficient number, since it is larger than the sum of its proper divisors (231390918207).

468001460673 is a wasteful number, since it uses less digits than its factorization.

468001460673 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13830 (or 13827 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 468001460673 in words is "four hundred sixty-eight billion, one million, four hundred sixty thousand, six hundred seventy-three".

Divisors: 1 3 9 59 61 177 183 531 549 1151 3453 3599 10359 10797 12553 32391 37659 67909 70211 112977 203727 210633 611181 631899 740627 765733 2221881 2297199 4142449 6665643 6891597 12427347 14448503 37282041 43345509 45178247 130036527 135534741 406604223 852461677 881358683 2557385031 2644076049 7672155093 7932228147 52000162297 156000486891 468001460673