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2145213882 = 23475713313
BaseRepresentation
bin111111111011101…
…0101110110111010
312112111121011020000
41333313111312322
513343133321012
6552511213430
7104106005610
oct17767256672
95474534200
102145213882
11a00a0aa39
124ba517276
1328258b936
14164c996b0
15c84e8ddc
hex7fdd5dba

2145213882 has 80 divisors (see below), whose sum is σ = 5504845632. Its totient is φ = 611660160.

The previous prime is 2145213881. The next prime is 2145213893. The reversal of 2145213882 is 2883125412.

It is a happy number.

2145213882 is a `hidden beast` number, since 21 + 4 + 521 + 38 + 82 = 666.

It is not an unprimeable number, because it can be changed into a prime (2145213881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 645858 + ... + 649170.

Almost surely, 22145213882 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2145213882, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2752422816).

2145213882 is an abundant number, since it is smaller than the sum of its proper divisors (3359631750).

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

2145213882 is a wasteful number, since it uses less digits than its factorization.

2145213882 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3905 (or 3896 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 2145213882 is about 46316.4536854885. The cubic root of 2145213882 is about 1289.7044536567.

The spelling of 2145213882 in words is "two billion, one hundred forty-five million, two hundred thirteen thousand, eight hundred eighty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 378 567 571 1134 1142 1713 3313 3426 3997 5139 6626 7994 9939 10278 11991 15417 19878 23191 23982 29817 30834 35973 46251 46382 59634 69573 71946 89451 92502 107919 139146 178902 208719 215838 268353 323757 417438 536706 626157 647514 1252314 1878471 1891723 3756942 3783446 5675169 11350338 13242061 17025507 26484122 34051014 39726183 51076521 79452366 102153042 119178549 153229563 238357098 306459126 357535647 715071294 1072606941 2145213882