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3016970985249 = 32132445372
BaseRepresentation
bin101011111001110001011…
…110111101111100100001
3101200102022220011122121100
4223321301132331330201
5343412224033011444
610225551034345013
7430653232152144
oct53716136757441
911612286148540
103016970985249
11a63543518121
1240886158b169
1318b664804900
14a6044bc205b
15537295d8e69
hex2be717bdf21

3016970985249 has 27 divisors (see below), whose sum is σ = 4718958009753. Its totient is φ = 1856555842752.

The previous prime is 3016970985247. The next prime is 3016970985263. The reversal of 3016970985249 is 9425890796103.

The square root of 3016970985249 is 1736943.

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

3016970985249 is a `hidden beast` number, since 3 + 0 + 16 + 9 + 7 + 0 + 98 + 524 + 9 = 666.

3016970985249 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 368214735249 + 2648756250000 = 606807^2 + 1627500^2 .

It is not a de Polignac number, because 3016970985249 - 21 = 3016970985247 is a prime.

It is a super-2 number, since 2×30169709852492 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3016970985247) 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, 67718509 + ... + 67763045.

It is a 1-persistent number, because it is pandigital, but 2⋅3016970985249 = 6033941970498 is not.

Almost surely, 23016970985249 is an apocalyptic number.

3016970985249 is a gapful number since it is divisible by the number (39) formed by its first and last digit.

3016970985249 is the 1736943-rd square number.

3016970985249 is the 868472-nd centered octagonal number.

It is an amenable number.

3016970985249 is a deficient number, since it is larger than the sum of its proper divisors (1701987024504).

3016970985249 is an frugal number, since it uses more digits than its factorization.

3016970985249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89106 (or 44553 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 63.

The spelling of 3016970985249 in words is "three trillion, sixteen billion, nine hundred seventy million, nine hundred eighty-five thousand, two hundred forty-nine".

Divisors: 1 3 9 13 39 117 169 507 1521 44537 133611 400833 578981 1736943 5210829 7526753 22580259 67740777 1983544369 5950633107 17851899321 25786076797 77358230391 232074691173 335218998361 1005656995083 3016970985249