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1668722436 = 2232316592269
BaseRepresentation
bin110001101110110…
…1010111100000100
311022021222212211200
41203131222330010
511404143104221
6433330302500
756231622663
oct14335527404
94267885750
101668722436
11786a4a957
123a6a27a30
13207947c34
1411b8a2dda
159b776426
hex6376af04

1668722436 has 72 divisors (see below), whose sum is σ = 4362758400. Its totient is φ = 537243840.

The previous prime is 1668722423. The next prime is 1668722483. The reversal of 1668722436 is 6342278661.

1668722436 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1668722391 and 1668722400.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 734310 + ... + 736578.

Almost surely, 21668722436 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 1668722436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2181379200).

1668722436 is an abundant number, since it is smaller than the sum of its proper divisors (2694035964).

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

1668722436 is a wasteful number, since it uses less digits than its factorization.

1668722436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2969 (or 2964 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 1668722436 is about 40849.9992166463. Note that the first 3 decimals coincide. The cubic root of 1668722436 is about 1186.1183780178.

The spelling of 1668722436 in words is "one billion, six hundred sixty-eight million, seven hundred twenty-two thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 372 558 659 1116 1318 1977 2269 2636 3954 4538 5931 6807 7908 9076 11862 13614 20421 20429 23724 27228 40842 40858 61287 70339 81684 81716 122574 140678 183861 211017 245148 281356 367722 422034 633051 735444 844068 1266102 1495271 2532204 2990542 4485813 5981084 8971626 13457439 17943252 26914878 46353401 53829756 92706802 139060203 185413604 278120406 417180609 556240812 834361218 1668722436