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5748269978025 = 3452532792
BaseRepresentation
bin101001110100101111110…
…0101110001000110101001
3202100112021211002110210000
41103221133211301012221
51223134424103244100
620120415131013213
71132204326426441
oct123513745610651
922315254073700
105748269978025
111916911600083
1278a077b9a209
133290a0a42683
1415c30971d121
159e7d4339900
hex53a5f9711a9

5748269978025 has 45 divisors (see below), whose sum is σ = 10647982908871. Its totient is φ = 3065686446960.

The previous prime is 5748269977987. The next prime is 5748269978027. The reversal of 5748269978025 is 5208799628475.

The square root of 5748269978025 is 2397555.

It is a perfect power (a square), and thus also a powerful number.

5748269978025 is a `hidden beast` number, since 5 + 7 + 482 + 69 + 9 + 7 + 80 + 2 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2069377192089 + 3678892785936 = 1438533^2 + 1918044^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 5748269978025 - 211 = 5748269975977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5748269978027) 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 44 ways as a sum of consecutive naturals, for example, 107863336 + ... + 107916614.

Almost surely, 25748269978025 is an apocalyptic number.

5748269978025 is the 2397555-th square number.

5748269978025 is the 1198778-th centered octagonal number.

It is an amenable number.

5748269978025 is a deficient number, since it is larger than the sum of its proper divisors (4899712930846).

5748269978025 is an frugal number, since it uses more digits than its factorization.

5748269978025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106580 (or 53287 counting only the distinct ones).

The product of its (nonzero) digits is 609638400, while the sum is 72.

The spelling of 5748269978025 in words is "five trillion, seven hundred forty-eight billion, two hundred sixty-nine million, nine hundred seventy-eight thousand, twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 405 675 2025 53279 159837 266395 479511 799185 1331975 1438533 2397555 3995925 4315599 7192665 11987775 21577995 35963325 107889975 2838651841 8515955523 14193259205 25547866569 42579777615 70966296025 76643599707 127739332845 212898888075 229930799121 383217998535 638696664225 1149653995605 1916089992675 5748269978025