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2158486820 = 2257294112967
BaseRepresentation
bin1000000010100111…
…1110010100100100
312120102120111021022
42000221332110210
513410033034240
6554103510312
7104326556330
oct20051762444
95512514238
102158486820
11a08456106
12502a58398
13285258149
141669527c0
15c976b9b5
hex80a7e524

2158486820 has 96 divisors (see below), whose sum is σ = 5490132480. Its totient is φ = 697052160.

The previous prime is 2158486801. The next prime is 2158486843. The reversal of 2158486820 is 286848512.

It is a super-2 number, since 2×21584868202 = 9318130704227424800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 159977 + ... + 172943.

It is an arithmetic number, because the mean of its divisors is an integer number (57188880).

Almost surely, 22158486820 is an apocalyptic number.

2158486820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2158486820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2745066240).

2158486820 is an abundant number, since it is smaller than the sum of its proper divisors (3331645660).

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

2158486820 is a wasteful number, since it uses less digits than its factorization.

2158486820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13053 (or 13051 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 44.

The square root of 2158486820 is about 46459.5180775694. The cubic root of 2158486820 is about 1292.3588872550.

The spelling of 2158486820 in words is "two billion, one hundred fifty-eight million, four hundred eighty-six thousand, eight hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 41 58 70 82 116 140 145 164 203 205 287 290 406 410 574 580 812 820 1015 1148 1189 1435 2030 2378 2870 4060 4756 5740 5945 8323 11890 12967 16646 23780 25934 33292 41615 51868 64835 83230 90769 129670 166460 181538 259340 363076 376043 453845 531647 752086 907690 1063294 1504172 1815380 1880215 2126588 2632301 2658235 3721529 3760430 5264602 5316470 7443058 7520860 10529204 10632940 13161505 14886116 15417763 18607645 26323010 30835526 37215290 52646020 61671052 74430580 77088815 107924341 154177630 215848682 308355260 431697364 539621705 1079243410 2158486820