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97774410721 = 1326723592
BaseRepresentation
bin101101100001111001…
…1110001101111100001
3100100101001210200201011
41123003303301233201
53100220222120341
6112530020540521
710030640531011
oct1330363615741
9310331720634
1097774410721
1138514118a19
1216b48551741
1392b26bb900
144a37641c41
152823b65b81
hex16c3cf1be1

97774410721 has 27 divisors (see below), whose sum is σ = 107778076371. Its totient is φ = 88658588304.

The previous prime is 97774410707. The next prime is 97774410731. The reversal of 97774410721 is 12701447779.

The square root of 97774410721 is 312689.

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., 14463670225 + 83310740496 = 120265^2 + 288636^2 .

It is not a de Polignac number, because 97774410721 - 219 = 97773886433 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (97774410731) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 272351940 + ... + 272352298.

Almost surely, 297774410721 is an apocalyptic number.

97774410721 is the 312689-th square number.

97774410721 is the 156345-th centered octagonal number.

It is an amenable number.

97774410721 is a deficient number, since it is larger than the sum of its proper divisors (10003665650).

97774410721 is an frugal number, since it uses more digits than its factorization.

97774410721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 878 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 691488, while the sum is 49.

Multiplying 97774410721 by its sum of digits (49), we get a square (4790946125329 = 21888232).

The spelling of 97774410721 in words is "ninety-seven billion, seven hundred seventy-four million, four hundred ten thousand, seven hundred twenty-one".

Divisors: 1 13 67 169 359 871 4489 4667 11323 24053 58357 60671 128881 312689 758641 1611551 1675453 4064957 8635027 20950163 21780889 112255351 272352119 578546809 1459319563 7521108517 97774410721