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46508700780564 = 223113421710297181
BaseRepresentation
bin10101001001100101001101…
…00101101100100000010100
320002200012002022201201120020
422210302212211230200110
522043444304344434224
6242525445134305140
712540066650616501
oct1244624645544024
9202605068651506
1046508700780564
1113901258125160
1252718459581b0
131cc49a053bb99
14b6b066c944a8
15559be85abc79
hex2a4ca696c814

46508700780564 has 48 divisors (see below), whose sum is σ = 118389255155136. Its totient is φ = 14093132435200.

The previous prime is 46508700780559. The next prime is 46508700780611.

46508700780564 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 46508700780498 and 46508700780507.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 631947 + ... + 9665234.

It is an arithmetic number, because the mean of its divisors is an integer number (2466442815732).

Almost surely, 246508700780564 is an apocalyptic number.

46508700780564 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

46508700780564 is an abundant number, since it is smaller than the sum of its proper divisors (71880554374572).

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

46508700780564 is a wasteful number, since it uses less digits than its factorization.

46508700780564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10331416 (or 10331414 counting only the distinct ones).

The product of its (nonzero) digits is 45158400, while the sum is 60.

The spelling of 46508700780564 in words is "forty-six trillion, five hundred eight billion, seven hundred million, seven hundred eighty thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 34217 68434 102651 136868 205302 376387 410604 752774 1129161 1505548 2258322 4516644 10297181 20594362 30891543 41188724 61783086 113268991 123566172 226537982 339806973 453075964 679613946 1359227892 352338642277 704677284554 1057015926831 1409354569108 2114031853662 3875725065047 4228063707324 7751450130094 11627175195141 15502900260188 23254350390282 46508700780564