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10497418560784 = 248099932
BaseRepresentation
bin1001100011000001111011…
…1001111000010100010000
31101011112200011000021012001
42120300132321320110100
52333442203122421114
634154240355043344
72132261550346051
oct230603671702420
941145604007161
1010497418560784
113387a26123a81
1212165782a0554
135b1b9653166c
14284113582728
151330de110374
hex98c1ee78510

10497418560784 has 15 divisors (see below), whose sum is σ = 20338773571333. Its totient is φ = 5248702800448.

The previous prime is 10497418560721. The next prime is 10497418560821. The reversal of 10497418560784 is 48706581479401.

The square root of 10497418560784 is 3239972.

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., 9857213744400 + 640204816384 = 3139620^2 + 800128^2 .

It is a super-2 number, since 2×104974185607842 (a number of 27 digits) contains 22 as substring.

It is a Duffinian 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 2 ways as a sum of consecutive naturals, for example, 12554892 + ... + 13364884.

Almost surely, 210497418560784 is an apocalyptic number.

10497418560784 is the 3239972-nd square number.

It is an amenable number.

10497418560784 is a deficient number, since it is larger than the sum of its proper divisors (9841355010549).

10497418560784 is an frugal number, since it uses more digits than its factorization.

10497418560784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1619994 (or 809995 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 64.

Multiplying 10497418560784 by its sum of digits (64), we get a square (671834787890176 = 259197762).

The spelling of 10497418560784 in words is "ten trillion, four hundred ninety-seven billion, four hundred eighteen million, five hundred sixty thousand, seven hundred eighty-four".

Divisors: 1 2 4 8 16 809993 1619986 3239972 6479944 12959888 656088660049 1312177320098 2624354640196 5248709280392 10497418560784