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1982643156 = 2234131727689
BaseRepresentation
bin111011000101100…
…1011101111010100
312010011200201010000
41312023023233110
513030024040111
6524422531300
7100063121514
oct16613135724
95104621100
101982643156
1192817216a
12473b96b30
132579ab040
1414b45b844
15b90d4c56
hex762cbbd4

1982643156 has 120 divisors (see below), whose sum is σ = 5910264360. Its totient is φ = 574138368.

The previous prime is 1982643151. The next prime is 1982643181. The reversal of 1982643156 is 6513462891.

1982643156 is a `hidden beast` number, since 198 + 26 + 431 + 5 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 17139600 + 1965503556 = 4140^2 + 44334^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1982643151) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 57760 + ... + 85448.

It is an arithmetic number, because the mean of its divisors is an integer number (49252203).

Almost surely, 21982643156 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 1982643156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2955132180).

1982643156 is an abundant number, since it is smaller than the sum of its proper divisors (3927621204).

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

1982643156 is a wasteful number, since it uses less digits than its factorization.

1982643156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27735 (or 27724 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 1982643156 is about 44526.8812741247. The cubic root of 1982643156 is about 1256.2657464723.

The spelling of 1982643156 in words is "one billion, nine hundred eighty-two million, six hundred forty-three thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 13 17 18 26 27 34 36 39 51 52 54 68 78 81 102 108 117 153 156 162 204 221 234 306 324 351 442 459 468 612 663 702 884 918 1053 1326 1377 1404 1836 1989 2106 2652 2754 3978 4212 5508 5967 7956 11934 17901 23868 27689 35802 55378 71604 83067 110756 166134 249201 332268 359957 470713 498402 719914 747603 941426 996804 1079871 1412139 1439828 1495206 1882852 2159742 2242809 2824278 2990412 3239613 4236417 4319484 4485618 5648556 6119269 6479226 8472834 8971236 9718839 12238538 12709251 12958452 16945668 18357807 19437678 24477076 25418502 29156517 36715614 38127753 38875356 50837004 55073421 58313034 73431228 76255506 110146842 116626068 152511012 165220263 220293684 330440526 495660789 660881052 991321578 1982643156