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74136942961 = 2924122292
BaseRepresentation
bin100010100001011100…
…1111111100101110001
321002100201201220202021
41011002321333211301
52203313024133321
654020311551441
75233116421564
oct1050271774561
9232321656667
1074136942961
112949440a5a4
121245038b581
136cb6545ab3
1438342164db
151ddd8d6941
hex1142e7f971

74136942961 has 27 divisors (see below), whose sum is σ = 79045107843. Its totient is φ = 69529676160.

The previous prime is 74136942949. The next prime is 74136942977. The reversal of 74136942961 is 16924963147.

The square root of 74136942961 is 272281.

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

It can be written as a sum of positive squares in 13 ways, for example, as 38506605361 + 35630337600 = 196231^2 + 188760^2 .

It is not a de Polignac number, because 74136942961 - 213 = 74136934769 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 74136942899 and 74136942908.

It is not an unprimeable number, because it can be changed into a prime (74136942991) 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, 323741995 + ... + 323742223.

Almost surely, 274136942961 is an apocalyptic number.

74136942961 is the 272281-st square number.

74136942961 is the 136141-st centered octagonal number.

It is an amenable number.

74136942961 is a deficient number, since it is larger than the sum of its proper divisors (4908164882).

74136942961 is an frugal number, since it uses more digits than its factorization.

74136942961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 598 (or 299 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 52.

The spelling of 74136942961 in words is "seventy-four billion, one hundred thirty-six million, nine hundred forty-two thousand, nine hundred sixty-one".

Divisors: 1 29 41 229 841 1189 1681 6641 9389 34481 48749 52441 192589 272281 384949 1413721 1520789 2150081 7896149 11163521 44102881 62352349 88153321 323742109 1808218121 2556446309 74136942961