Search a number
-
+
16261431102 = 2337313137443
BaseRepresentation
bin11110010010100000…
…11011111100111110
31112222021202021212000
433021100123330332
5231300411243402
611245334523130
71113654612060
oct171120337476
945867667760
1016261431102
116995176964
123199b064a6
1316c1c9b9a7
14b03985730
15652936c1c
hex3c941bf3e

16261431102 has 64 divisors (see below), whose sum is σ = 41431119360. Its totient is φ = 4631245632.

The previous prime is 16261431091. The next prime is 16261431133. The reversal of 16261431102 is 20113416261.

It is a happy number.

16261431102 is a `hidden beast` number, since 1 + 6 + 2 + 614 + 31 + 10 + 2 = 666.

16261431102 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49593 + ... + 187035.

It is an arithmetic number, because the mean of its divisors is an integer number (647361240).

Almost surely, 216261431102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16261431102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20715559680).

16261431102 is an abundant number, since it is smaller than the sum of its proper divisors (25169688258).

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

16261431102 is a wasteful number, since it uses less digits than its factorization.

16261431102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137774 (or 137768 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 16261431102 its reverse (20113416261), we get a palindrome (36374847363).

The spelling of 16261431102 in words is "sixteen billion, two hundred sixty-one million, four hundred thirty-one thousand, one hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 313 378 626 939 1878 2191 2817 4382 5634 6573 8451 13146 16902 19719 39438 59157 118314 137443 274886 412329 824658 962101 1236987 1924202 2473974 2886303 3710961 5772606 7421922 8658909 17317818 25976727 43019659 51953454 86039318 129058977 258117954 301137613 387176931 602275226 774353862 903412839 1161530793 1806825678 2323061586 2710238517 5420477034 8130715551 16261431102