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2490674206969 = 13273216632
BaseRepresentation
bin100100001111100111110…
…000000101100011111001
322211002212100221012011201
4210033213300011203321
5311301400044110334
65144111104054201
7344642141306434
oct44174760054371
98732770835151
102490674206969
1188031a726a13
12342861904361
13150b3c5a2c00
14887992d281b
1544bc502cc14
hex243e7c058f9

2490674206969 has 27 divisors (see below), whose sum is σ = 2736098861517. Its totient is φ = 2266226030016.

The previous prime is 2490674206957. The next prime is 2490674206981. The reversal of 2490674206969 is 9696024760942.

It is a happy number.

The square root of 2490674206969 is 1578187.

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

2490674206969 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2490674206957) and next prime (2490674206981).

It can be written as a sum of positive squares in 4 ways, for example, as 250563316969 + 2240110890000 = 500563^2 + 1496700^2 .

It is a de Polignac number, because none of the positive numbers 2k-2490674206969 is a prime.

It is a super-2 number, since 2×24906742069692 (a number of 26 digits) contains 22 as substring.

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 2490674206969.

It is not an unprimeable number, because it can be changed into a prime (2490674207969) 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, 1497698632 + ... + 1497700294.

It is an arithmetic number, because the mean of its divisors is an integer number (101336994871).

Almost surely, 22490674206969 is an apocalyptic number.

2490674206969 is the 1578187-th square number.

2490674206969 is the 789094-th centered octagonal number.

It is an amenable number.

2490674206969 is a deficient number, since it is larger than the sum of its proper divisors (245424654548).

2490674206969 is an frugal number, since it uses more digits than its factorization.

2490674206969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3498 (or 1749 counting only the distinct ones).

The product of its (nonzero) digits is 70543872, while the sum is 64.

Multiplying 2490674206969 by its sum of digits (64), we get a square (159403149246016 = 126254962).

The spelling of 2490674206969 in words is "two trillion, four hundred ninety billion, six hundred seventy-four million, two hundred six thousand, nine hundred sixty-nine".

Divisors: 1 13 73 169 949 1663 5329 12337 21619 69277 121399 281047 900601 1578187 2765569 8862127 20516431 35952397 115207651 201886537 467381161 1497699463 2624524981 14737717201 34118824753 191590323613 2490674206969