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7145216892 = 223211172346147
BaseRepresentation
bin1101010011110001…
…10101101101111100
3200102221222121220200
412221320311231330
5104113133420032
63141002443500
7342031225062
oct65170655574
920387877820
107145216892
11303731a230
121474b03590
1389b41b9b8
144bad5c032
152bc45147c
hex1a9e35b7c

7145216892 has 144 divisors (see below), whose sum is σ = 21770042112. Its totient is φ = 1949207040.

The previous prime is 7145216891. The next prime is 7145216899. The reversal of 7145216892 is 2986125417.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7145216891) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 131763 + ... + 177909.

It is an arithmetic number, because the mean of its divisors is an integer number (151180848).

Almost surely, 27145216892 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 7145216892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10885021056).

7145216892 is an abundant number, since it is smaller than the sum of its proper divisors (14624825220).

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

7145216892 is a wasteful number, since it uses less digits than its factorization.

7145216892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46208 (or 46203 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 7145216892 is about 84529.3847842275. The cubic root of 7145216892 is about 1926.0688406860.

The spelling of 7145216892 in words is "seven billion, one hundred forty-five million, two hundred sixteen thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 23 33 34 36 44 46 51 66 68 69 92 99 102 132 138 153 187 198 204 207 253 276 306 374 391 396 414 506 561 612 748 759 782 828 1012 1122 1173 1518 1564 1683 2244 2277 2346 3036 3366 3519 4301 4554 4692 6732 7038 8602 9108 12903 14076 17204 25806 38709 46147 51612 77418 92294 138441 154836 184588 276882 415323 507617 553764 784499 830646 1015234 1061381 1522851 1568998 1661292 2030468 2122762 2353497 3045702 3137996 3184143 4245524 4568553 4706994 6091404 6368286 7060491 8629489 9137106 9413988 9552429 11675191 12736572 14120982 17258978 18043477 18274212 19104858 23350382 25888467 28241964 34517956 35025573 36086954 38209716 46700764 51776934 54130431 70051146 72173908 77665401 103553868 105076719 108260862 140102292 155330802 162391293 198478247 210153438 216521724 310661604 324782586 396956494 420306876 595434741 649565172 793912988 1190869482 1786304223 2381738964 3572608446 7145216892