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5760961801 = 7415492
BaseRepresentation
bin1010101110110000…
…10100110100001001
3112212111021011220121
411113120110310021
543244301234201
62351353223241
7262522240000
oct52730246411
915774234817
105760961801
112496a04961
121149401b21
1370a6c394a
143c9187c37
1523ab6b9a1
hex157614d09

5760961801 has 15 divisors (see below), whose sum is σ = 6725063751. Its totient is φ = 4934779416.

The previous prime is 5760961781. The next prime is 5760961831. The reversal of 5760961801 is 1081690675.

It is a happy number.

The square root of 5760961801 is 75901.

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

It can be written as a sum of positive squares in only one way, i.e., 1949134201 + 3811827600 = 44149^2 + 61740^2 .

It is not a de Polignac number, because 5760961801 - 213 = 5760953609 is a prime.

It is not an unprimeable number, because it can be changed into a prime (5760961831) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 3718375 + ... + 3719923.

Almost surely, 25760961801 is an apocalyptic number.

5760961801 is the 75901-st square number.

5760961801 is the 37951-st centered octagonal number.

It is an amenable number.

5760961801 is a deficient number, since it is larger than the sum of its proper divisors (964101950).

5760961801 is an frugal number, since it uses more digits than its factorization.

5760961801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3126 (or 1556 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 43.

The cubic root of 5760961801 is about 1792.6616666711.

The spelling of 5760961801 in words is "five billion, seven hundred sixty million, nine hundred sixty-one thousand, eight hundred one".

Divisors: 1 7 49 343 1549 2401 10843 75901 531307 2399401 3719149 16795807 117570649 822994543 5760961801