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7142161716 = 223619712433
BaseRepresentation
bin1101010011011010…
…01011110100110100
3200102202020102000000
412221231023310310
5104111343133331
63140413151300
7341663241624
oct65155136464
920382212000
107142161716
113035622898
121473a8b530
1389a8bc1c1
144ba7a4884
152bc04b0e6
hex1a9b4bd34

7142161716 has 84 divisors (see below), whose sum is σ = 18836241732. Its totient is φ = 2368445184.

The previous prime is 7142161711. The next prime is 7142161721. The reversal of 7142161716 is 6171612417.

7142161716 is a `hidden beast` number, since 7 + 1 + 4 + 21 + 617 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (7142161711) and next prime (7142161721).

It can be written as a sum of positive squares in 2 ways, for example, as 4375822500 + 2766339216 = 66150^2 + 52596^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7142161711) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 568236 + ... + 580668.

It is an arithmetic number, because the mean of its divisors is an integer number (224240973).

Almost surely, 27142161716 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7142161716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9418120866).

7142161716 is an abundant number, since it is smaller than the sum of its proper divisors (11694080016).

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

7142161716 is a wasteful number, since it uses less digits than its factorization.

7142161716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12652 (or 12635 counting only the distinct ones).

The product of its digits is 14112, while the sum is 36.

The square root of 7142161716 is about 84511.3111719372. The cubic root of 7142161716 is about 1925.7942832076.

The spelling of 7142161716 in words is "seven billion, one hundred forty-two million, one hundred sixty-one thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 197 243 324 394 486 591 729 788 972 1182 1458 1773 2364 2916 3546 5319 7092 10638 12433 15957 21276 24866 31914 37299 47871 49732 63828 74598 95742 111897 143613 149196 191484 223794 287226 335691 447588 574452 671382 1007073 1342764 2014146 2449301 3021219 4028292 4898602 6042438 7347903 9063657 9797204 12084876 14695806 18127314 22043709 29391612 36254628 44087418 66131127 88174836 132262254 198393381 264524508 396786762 595180143 793573524 1190360286 1785540429 2380720572 3571080858 7142161716