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6149829613225 = 52412120972
BaseRepresentation
bin101100101111101111001…
…1010001101011010101001
3210202220210012101112001111
41121133132122031122221
51301224322340110400
621025105343350321
71203211340133034
oct131373632153251
923686705345044
106149829613225
111a61145544491
12833a655b23a1
13357c07522b7c
14173920aaa01b
15a9e87b0c3ba
hex597de68d6a9

6149829613225 has 27 divisors (see below), whose sum is σ = 7816966217391. Its totient is φ = 4799470233600.

The previous prime is 6149829613223. The next prime is 6149829613229. The reversal of 6149829613225 is 5223169289416.

It is a happy number.

The square root of 6149829613225 is 2479885.

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 4531631910169 + 1618197703056 = 2128763^2 + 1272084^2 .

It is not a de Polignac number, because 6149829613225 - 21 = 6149829613223 is a prime.

It is a Smith number, since the sum of its digits (58) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 6149829613225.

It is not an unprimeable number, because it can be changed into a prime (6149829613223) 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, 508370377 + ... + 508382473.

Almost surely, 26149829613225 is an apocalyptic number.

6149829613225 is the 2479885-th square number.

6149829613225 is the 1239943-rd centered octagonal number.

It is an amenable number.

6149829613225 is a deficient number, since it is larger than the sum of its proper divisors (1667136604166).

6149829613225 is an frugal number, since it uses more digits than its factorization.

6149829613225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24286 (or 12143 counting only the distinct ones).

The product of its digits is 11197440, while the sum is 58.

The spelling of 6149829613225 in words is "six trillion, one hundred forty-nine billion, eight hundred twenty-nine million, six hundred thirteen thousand, two hundred twenty-five".

Divisors: 1 5 25 41 205 1025 1681 8405 12097 42025 60485 302425 495977 2479885 12399425 20335057 101675285 146337409 508376425 731687045 3658435225 5999833769 29999168845 149995844225 245993184529 1229965922645 6149829613225