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2126823828 = 2231724991229
BaseRepresentation
bin111111011000100…
…1100000110010100
312111012222211210220
41332301030012110
513323431330303
6551013114340
7103463463363
oct17661140624
95435884726
102126823828
119a159a248
124b43289b0
1327b82024c
1416266d7da
15c6ab5053
hex7ec4c194

2126823828 has 72 divisors (see below), whose sum is σ = 5286540000. Its totient is φ = 665359872.

The previous prime is 2126823821. The next prime is 2126823841. The reversal of 2126823828 is 8283286212.

It is a self number, because there is not a number n which added to its sum of digits gives 2126823828.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2126823821) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1729918 + ... + 1731146.

Almost surely, 22126823828 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 2126823828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2643270000).

2126823828 is an abundant number, since it is smaller than the sum of its proper divisors (3159716172).

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

2126823828 is a wasteful number, since it uses less digits than its factorization.

2126823828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1769 (or 1750 counting only the distinct ones).

The product of its digits is 147456, while the sum is 42.

The square root of 2126823828 is about 46117.5002358107. The cubic root of 2126823828 is about 1286.0084999845.

The spelling of 2126823828 in words is "two billion, one hundred twenty-six million, eight hundred twenty-three thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 289 499 578 867 998 1156 1229 1497 1734 1996 2458 2994 3468 3687 4916 5988 7374 8483 14748 16966 20893 25449 33932 41786 50898 62679 83572 101796 125358 144211 250716 288422 355181 432633 576844 613271 710362 865266 1065543 1226542 1420724 1730532 1839813 2131086 2453084 3679626 4262172 7359252 10425607 20851214 31276821 41702428 62553642 125107284 177235319 354470638 531705957 708941276 1063411914 2126823828