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4445076766644 = 2232330721373349
BaseRepresentation
bin100000010101111001100…
…1110001011111110110100
3120201221112001011002000200
41000223303032023332310
51040312004123013034
613242012353440500
7636101101050633
oct100536316137664
916657461132020
104445076766644
111464167a51a18
125b959b270130
13263227215657
1411520003551a
157a95ee07a99
hex40af338bfb4

4445076766644 has 36 divisors (see below), whose sum is σ = 11236230341700. Its totient is φ = 1481683806720.

The previous prime is 4445076766643. The next prime is 4445076766667. The reversal of 4445076766644 is 4466676705444.

It can be written as a sum of positive squares in 2 ways, for example, as 2046078489744 + 2398998276900 = 1430412^2 + 1548870^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×44450767666442 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4445076766643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11719282 + ... + 12092630.

Almost surely, 24445076766644 is an apocalyptic number.

It is an amenable number.

4445076766644 is an abundant number, since it is smaller than the sum of its proper divisors (6791153575056).

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

4445076766644 is a wasteful number, since it uses less digits than its factorization.

4445076766644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704080 (or 704075 counting only the distinct ones).

The product of its (nonzero) digits is 325140480, while the sum is 63.

The spelling of 4445076766644 in words is "four trillion, four hundred forty-five billion, seventy-six million, seven hundred sixty-six thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 330721 373349 661442 746698 992163 1120047 1322884 1493396 1984326 2240094 2976489 3360141 3968652 4480188 5952978 6720282 11905956 13440564 123474354629 246948709258 370423063887 493897418516 740846127774 1111269191661 1481692255548 2222538383322 4445076766644