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1981555290 = 23251121313997
BaseRepresentation
bin111011000011100…
…0010001001011010
312010002122102211200
41312013002021122
513024234232130
6524343335030
7100050641061
oct16607021132
95102572750
101981555290
11927599900
12473751476
132576b9b30
1414b2571d8
15b8e6c760
hex761c225a

1981555290 has 144 divisors (see below), whose sum is σ = 6099040584. Its totient is φ = 443393280.

The previous prime is 1981555243. The next prime is 1981555307. The reversal of 1981555290 is 925551891.

1981555290 is a `hidden beast` number, since 1 + 9 + 8 + 1 + 5 + 552 + 90 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1225910169 + 755645121 = 35013^2 + 27489^2 .

It is a super-2 number, since 2×19815552902 = 7853122734653968200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 134572 + ... + 148568.

Almost surely, 21981555290 is an apocalyptic number.

1981555290 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1981555290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3049520292).

1981555290 is an abundant number, since it is smaller than the sum of its proper divisors (4117485294).

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

1981555290 is a wasteful number, since it uses less digits than its factorization.

1981555290 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14045 (or 14031 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 45.

The square root of 1981555290 is about 44514.6637637532. The cubic root of 1981555290 is about 1256.0359356055.

The spelling of 1981555290 in words is "one billion, nine hundred eighty-one million, five hundred fifty-five thousand, two hundred ninety".

Divisors: 1 2 3 5 6 9 10 11 13 15 18 22 26 30 33 39 45 55 65 66 78 90 99 110 117 121 130 143 165 195 198 234 242 286 330 363 390 429 495 585 605 715 726 858 990 1089 1170 1210 1287 1430 1573 1815 2145 2178 2574 3146 3630 4290 4719 5445 6435 7865 9438 10890 12870 13997 14157 15730 23595 27994 28314 41991 47190 69985 70785 83982 125973 139970 141570 153967 181961 209955 251946 307934 363922 419910 461901 545883 629865 769835 909805 923802 1091766 1259730 1385703 1539670 1637649 1693637 1819610 2001571 2309505 2729415 2771406 3275298 3387274 4003142 4619010 5080911 5458830 6004713 6928515 8188245 8468185 10007855 10161822 12009426 13857030 15242733 16376490 16936370 18014139 20015710 22017281 25404555 30023565 30485466 36028278 44034562 50809110 60047130 66051843 76213665 90070695 110086405 132103686 152427330 180141390 198155529 220172810 330259215 396311058 660518430 990777645 1981555290