Search a number
-
+
1641688412 = 2271371139457
BaseRepresentation
bin110000111011010…
…0010110101011100
311020102010102010112
41201312202311130
511330233012122
6430523025152
755453056410
oct14166426534
94212112115
101641688412
11772765891
1239996b1b8
13202170c80
14118066d40
15991d62e2
hex61da2d5c

1641688412 has 96 divisors (see below), whose sum is σ = 3619445760. Its totient is φ = 634314240.

The previous prime is 1641688403. The next prime is 1641688417. The reversal of 1641688412 is 2148861461.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1641688412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1641688417) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3592088 + ... + 3592544.

It is an arithmetic number, because the mean of its divisors is an integer number (37702560).

Almost surely, 21641688412 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 1641688412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1809722880).

1641688412 is an abundant number, since it is smaller than the sum of its proper divisors (1977757348).

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

1641688412 is a wasteful number, since it uses less digits than its factorization.

1641688412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 691 (or 689 counting only the distinct ones).

The product of its digits is 73728, while the sum is 41.

The square root of 1641688412 is about 40517.7542813024. The cubic root of 1641688412 is about 1179.6782642905.

The spelling of 1641688412 in words is "one billion, six hundred forty-one million, six hundred eighty-eight thousand, four hundred twelve".

Divisors: 1 2 4 7 13 14 26 28 52 71 91 139 142 182 278 284 364 457 497 556 914 923 973 994 1807 1828 1846 1946 1988 3199 3614 3692 3892 5941 6398 6461 7228 9869 11882 12649 12796 12922 19738 23764 25298 25844 32447 39476 41587 50596 63523 64894 69083 83174 127046 128297 129788 138166 166348 227129 254092 256594 276332 421811 444661 454258 513188 825799 843622 889322 898079 908516 1651598 1687244 1778644 1796158 2952677 3303196 3592316 4510133 5780593 5905354 9020266 11561186 11810708 18040532 23122372 31570931 58631729 63141862 117263458 126283724 234526916 410422103 820844206 1641688412