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64074290641 = 26929412
BaseRepresentation
bin111011101011001000…
…000001010111010001
320010101110002012210121
4323223020001113101
52022211004300031
645234010230241
74425551325034
oct735310012721
9203343065717
1064074290641
11251a02a2a09
1210502425381
13607189035a
14315ba2501b
151a002a0011
hexeeb2015d1

64074290641 has 9 divisors (see below), whose sum is σ = 64381788913. Its totient is φ = 63768257680.

The previous prime is 64074290597. The next prime is 64074290647. The reversal of 64074290641 is 14609247046.

The square root of 64074290641 is 253129.

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

It can be written as a sum of positive squares in 4 ways, for example, as 9934308241 + 54139982400 = 99671^2 + 232680^2 .

It is not a de Polignac number, because 64074290641 - 29 = 64074290129 is a prime.

It is a super-2 number, since 2×640742906412 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (64074290647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 68091231 + ... + 68092171.

Almost surely, 264074290641 is an apocalyptic number.

64074290641 is the 253129-th square number.

64074290641 is the 126565-th centered octagonal number.

It is an amenable number.

64074290641 is a deficient number, since it is larger than the sum of its proper divisors (307498272).

64074290641 is an frugal number, since it uses more digits than its factorization.

64074290641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2420 (or 1210 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 43.

The spelling of 64074290641 in words is "sixty-four billion, seventy-four million, two hundred ninety thousand, six hundred forty-one".

Divisors: 1 269 941 72361 253129 885481 68091701 238194389 64074290641