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10316667769849 = 72127236132
BaseRepresentation
bin1001011000100000100101…
…0100010101001111111001
31100112021010022111201101201
42112020021110111033321
52323012013422113344
633535224534214201
72113232434104100
oct226101124251771
940467108451351
1010316667769849
113318302001521
1211a75331b4361
1359ab1c1a662c
14279487b8b037
1512d560a504d4
hex962095153f9

10316667769849 has 27 divisors (see below), whose sum is σ = 12099610899567. Its totient is φ = 8770801045104.

The previous prime is 10316667769831. The next prime is 10316667769853. The reversal of 10316667769849 is 94896776661301.

The square root of 10316667769849 is 3211957.

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., 5710069225 + 10310957700624 = 75565^2 + 3211068^2 .

It is not a de Polignac number, because 10316667769849 - 227 = 10316533552121 is a prime.

It is a super-2 number, since 2×103166677698492 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10316667761849) 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, 2855427967 + ... + 2855431579.

It is an arithmetic number, because the mean of its divisors is an integer number (448133737021).

Almost surely, 210316667769849 is an apocalyptic number.

10316667769849 is the 3211957-th square number.

10316667769849 is the 1605979-th centered octagonal number.

It is an amenable number.

10316667769849 is a deficient number, since it is larger than the sum of its proper divisors (1782943129718).

10316667769849 is an frugal number, since it uses more digits than its factorization.

10316667769849 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7494 (or 3747 counting only the distinct ones).

The product of its (nonzero) digits is 493807104, while the sum is 73.

The spelling of 10316667769849 in words is "ten trillion, three hundred sixteen billion, six hundred sixty-seven million, seven hundred sixty-nine thousand, eight hundred forty-nine".

Divisors: 1 7 49 127 889 3613 6223 16129 25291 112903 177037 458851 790321 3211957 13053769 22483699 58274077 91376383 407918539 639634681 1657828663 2855429773 11604800641 81233604487 210544240201 1473809681407 10316667769849