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3382971125706 = 23420882537813
BaseRepresentation
bin110001001110101000110…
…010101100111111001010
3102222102001002000012110000
4301032220302230333022
5420411311102010311
611110040535503430
7466261115054214
oct61165062547712
912872032005400
103382971125706
11109478a008847
12467786227b76
131b70221a8363
14b9a456215b4
155ceeb160056
hex313a8cacfca

3382971125706 has 20 divisors (see below), whose sum is σ = 7580361226482. Its totient is φ = 1127657041848.

The previous prime is 3382971125689. The next prime is 3382971125731. The reversal of 3382971125706 is 6075211792833.

3382971125706 is a `hidden beast` number, since 3 + 38 + 29 + 7 + 1 + 12 + 570 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2454752565225 + 928218560481 = 1566765^2 + 963441^2 .

It is a super-2 number, since 2×33829711257062 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 10441268745 + ... + 10441269068.

Almost surely, 23382971125706 is an apocalyptic number.

3382971125706 is an abundant number, since it is smaller than the sum of its proper divisors (4197390100776).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3382971125706 is a wasteful number, since it uses less digits than its factorization.

3382971125706 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20882537827 (or 20882537818 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 3382971125706 in words is "three trillion, three hundred eighty-two billion, nine hundred seventy-one million, one hundred twenty-five thousand, seven hundred six".

Divisors: 1 2 3 6 9 18 27 54 81 162 20882537813 41765075626 62647613439 125295226878 187942840317 375885680634 563828520951 1127657041902 1691485562853 3382971125706