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71573024142 = 235853172649
BaseRepresentation
bin100001010101000010…
…1011010110110001110
320211202001021100100000
41002222011122312032
52133040143233032
652514042145130
75112434444604
oct1025205326616
9224661240300
1071573024142
1128399119424
1211a557b21a6
1369982c6a79
14366d8c7874
151cdd781e7c
hex10aa15ad8e

71573024142 has 48 divisors (see below), whose sum is σ = 161007865200. Its totient is φ = 23829567552.

The previous prime is 71573024137. The next prime is 71573024203. The reversal of 71573024142 is 24142037517.

71573024142 is a `hidden beast` number, since 7 + 1 + 573 + 0 + 2 + 41 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 71573024097 and 71573024106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 328234 + ... + 500882.

It is an arithmetic number, because the mean of its divisors is an integer number (3354330525).

Almost surely, 271573024142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71573024142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80503932600).

71573024142 is an abundant number, since it is smaller than the sum of its proper divisors (89434841058).

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

71573024142 is a wasteful number, since it uses less digits than its factorization.

71573024142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173519 (or 173507 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 71573024142 in words is "seventy-one billion, five hundred seventy-three million, twenty-four thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 853 1706 2559 5118 7677 15354 23031 46062 69093 138186 172649 207279 345298 414558 517947 1035894 1553841 3107682 4661523 9323046 13984569 27969138 41953707 83907414 147269597 294539194 441808791 883617582 1325426373 2650852746 3976279119 7952558238 11928837357 23857674714 35786512071 71573024142