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3248332149969 = 342002572
BaseRepresentation
bin101111010001001111101…
…011110001010011010001
3102111112111212000120110000
4233101033223301103101
5411210041012244334
610524132503200213
7453453461463234
oct57211753612321
912445455016400
103248332149969
1110426788a6575
1244566ba46069
131a74161bac8a
14b3311dd141b
155976ae0a299
hex2f44faf14d1

3248332149969 has 15 divisors (see below), whose sum is σ = 4852471023147. Its totient is φ = 2165543952768.

The previous prime is 3248332149949. The next prime is 3248332150033. The reversal of 3248332149969 is 9699412338423.

The square root of 3248332149969 is 1802313.

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

3248332149969 is a `hidden beast` number, since 3 + 2 + 4 + 83 + 3 + 2 + 1 + 499 + 69 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2884375739025 + 363956410944 = 1698345^2 + 603288^2 .

It is not a de Polignac number, because 3248332149969 - 215 = 3248332117201 is a prime.

It is a super-2 number, since 2×32483321499692 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3248332149929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 16120689 + ... + 16320945.

Almost surely, 23248332149969 is an apocalyptic number.

3248332149969 is the 1802313-rd square number.

3248332149969 is the 901157-th centered octagonal number.

It is an amenable number.

3248332149969 is a deficient number, since it is larger than the sum of its proper divisors (1604138873178).

3248332149969 is an frugal number, since it uses more digits than its factorization.

3248332149969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400526 (or 200260 counting only the distinct ones).

The product of its digits is 60466176, while the sum is 63.

The spelling of 3248332149969 in words is "three trillion, two hundred forty-eight billion, three hundred thirty-two million, one hundred forty-nine thousand, nine hundred sixty-nine".

Divisors: 1 3 9 27 81 200257 600771 1802313 5406939 16220817 40102866049 120308598147 360925794441 1082777383323 3248332149969