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3746496946473 = 3237101111393481
BaseRepresentation
bin110110100001001100100…
…111101010000100101001
3111021011100210222021202200
4312201030213222010221
5442340311204241343
611545041131450413
7534450454415241
oct66411447520451
914234323867680
103746496946473
111214975945466
1250611a2b6a09
132123a7071408
14cd48d5b6b21
15676c587e4d3
hex3684c9ea129

3746496946473 has 24 divisors (see below), whose sum is σ = 5612894771016. Its totient is φ = 2406099168000.

The previous prime is 3746496946463. The next prime is 3746496946519.

3746496946473 is a `hidden beast` number, since 3 + 7 + 4 + 6 + 4 + 96 + 9 + 464 + 73 = 666.

3746496946473 is nontrivially palindromic in base 10.

3746496946473 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2146846204944 + 1599650741529 = 1465212^2 + 1264773^2 .

It is not a de Polignac number, because 3746496946473 - 216 = 3746496880937 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3746496946463) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 55663108 + ... + 55730373.

It is an arithmetic number, because the mean of its divisors is an integer number (233870615459).

Almost surely, 23746496946473 is an apocalyptic number.

It is an amenable number.

3746496946473 is a deficient number, since it is larger than the sum of its proper divisors (1866397824543).

3746496946473 is a wasteful number, since it uses less digits than its factorization.

3746496946473 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111393625 (or 111393622 counting only the distinct ones).

The product of its digits is 1975228416, while the sum is 72.

The spelling of 3746496946473 in words is "three trillion, seven hundred forty-six billion, four hundred ninety-six million, nine hundred forty-six thousand, four hundred seventy-three".

Divisors: 1 3 9 37 101 111 303 333 909 3737 11211 33633 111393481 334180443 1002541329 4121558797 11250741581 12364676391 33752224743 37094029173 101256674229 416277438497 1248832315491 3746496946473