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5348641420369 = 13273224372
BaseRepresentation
bin100110111010101001111…
…0111110011010001010001
3200221022210000110022220001
41031311103313303101101
51200113004200422434
615213044300050001
71061266214636632
oct115652367632121
920838700408801
105348641420369
111782389708925
12724729233901
132ca4b4357300
14146c38a09889
15941e5363114
hex4dd53df3451

5348641420369 has 27 divisors (see below), whose sum is σ = 5874560229843. Its totient is φ = 4867576301952.

The previous prime is 5348641420361. The next prime is 5348641420393. The reversal of 5348641420369 is 9630241468435.

It is a happy number.

The square root of 5348641420369 is 2312713.

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 1540242334225 + 3808399086144 = 1241065^2 + 1951512^2 .

It is not a de Polignac number, because 5348641420369 - 23 = 5348641420361 is a prime.

It is a super-2 number, since 2×53486414203692 (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 (5348641420361) 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, 2194763419 + ... + 2194765855.

It is an arithmetic number, because the mean of its divisors is an integer number (217576304809).

Almost surely, 25348641420369 is an apocalyptic number.

5348641420369 is the 2312713-rd square number.

5348641420369 is the 1156357-th centered octagonal number.

It is an amenable number.

5348641420369 is a deficient number, since it is larger than the sum of its proper divisors (525918809474).

5348641420369 is an frugal number, since it uses more digits than its factorization.

5348641420369 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5046 (or 2523 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 55.

The spelling of 5348641420369 in words is "five trillion, three hundred forty-eight billion, six hundred forty-one million, four hundred twenty thousand, three hundred sixty-nine".

Divisors: 1 13 73 169 949 2437 5329 12337 31681 69277 177901 411853 900601 2312713 5938969 12986773 30065269 77206597 168828049 433544737 1003685761 2194764637 5636081581 31648765801 73269060553 411433955413 5348641420369