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130174052736 = 27371341432113
BaseRepresentation
bin111100100111011111…
…0100110100110000000
3110110000001110001002110
41321032332212212000
54113044024141421
6135445013415320
712255556122510
oct1711676464600
9413001401073
10130174052736
115022a94a572
122128b03a540
13c376c75710
14642c655840
1535bd294a76
hex1e4efa6980

130174052736 has 512 divisors, whose sum is σ = 446298209280. Its totient is φ = 32699842560.

The previous prime is 130174052677. The next prime is 130174052807. The reversal of 130174052736 is 637250471031.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 130174052694 and 130174052703.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 61605216 + ... + 61607328.

It is an arithmetic number, because the mean of its divisors is an integer number (871676190).

Almost surely, 2130174052736 is an apocalyptic number.

130174052736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130174052736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223149104640).

130174052736 is an abundant number, since it is smaller than the sum of its proper divisors (316124156544).

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

130174052736 is a wasteful number, since it uses less digits than its factorization.

130174052736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2234 (or 2222 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 39.

The spelling of 130174052736 in words is "one hundred thirty billion, one hundred seventy-four million, fifty-two thousand, seven hundred thirty-six".