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5067284629969 = 19225724612
BaseRepresentation
bin100100110111101000110…
…1100110100100111010001
3122221102112210000110212101
41021233101230310213101
51131010244331124334
614435513423400401
71032046015452112
oct111572154644721
918842483013771
105067284629969
111684029084971
1269a0a7453101
132a9ac5aa3293
141373878c8209
158bc29763214
hex49bd1b349d1

5067284629969 has 27 divisors (see below), whose sum is σ = 5380582500561. Its totient is φ = 4771533219840.

The previous prime is 5067284629963. The next prime is 5067284630003. The reversal of 5067284629969 is 9699264827605.

The square root of 5067284629969 is 2251063.

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 1068132585025 + 3999152044944 = 1033505^2 + 1999788^2 .

It is not a de Polignac number, because 5067284629969 - 221 = 5067282532817 is a prime.

It is a super-2 number, since 2×50672846299692 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5067284629963) 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, 10991940399 + ... + 10991940859.

Almost surely, 25067284629969 is an apocalyptic number.

5067284629969 is the 2251063-rd square number.

5067284629969 is the 1125532-nd centered octagonal number.

It is an amenable number.

5067284629969 is a deficient number, since it is larger than the sum of its proper divisors (313297870592).

5067284629969 is an frugal number, since it uses more digits than its factorization.

5067284629969 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1474 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 705438720, while the sum is 73.

The spelling of 5067284629969 in words is "five trillion, sixty-seven billion, two hundred eighty-four million, six hundred twenty-nine thousand, nine hundred sixty-nine".

Divisors: 1 19 257 361 461 4883 8759 66049 92777 118477 166421 212521 1254931 2251063 4037899 23843689 30448589 42770197 54617897 76720081 578523191 1037740043 10991940629 14036799529 19717060817 266699191051 5067284629969