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1918868820 = 22351121132339
BaseRepresentation
bin111001001011111…
…1001110101010100
311221201200122011120
41302113321311110
512412212300240
6514224003540
765360054511
oct16227716524
94851618146
101918868820
118a5173600
124567605b0
1324770c14b
14142bba308
15b36d8ad0
hex725f9d54

1918868820 has 144 divisors (see below), whose sum is σ = 5960485440. Its totient is φ = 460866560.

The previous prime is 1918868807. The next prime is 1918868827. The reversal of 1918868820 is 288688191.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1918868827) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 819211 + ... + 821549.

It is an arithmetic number, because the mean of its divisors is an integer number (41392260).

Almost surely, 21918868820 is an apocalyptic number.

1918868820 is a gapful number since it is divisible by the number (10) 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 1918868820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2980242720).

1918868820 is an abundant number, since it is smaller than the sum of its proper divisors (4041616620).

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

1918868820 is a wasteful number, since it uses less digits than its factorization.

1918868820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2486 (or 2473 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 51.

The square root of 1918868820 is about 43804.8949319594. The cubic root of 1918868820 is about 1242.6488683708.

The spelling of 1918868820 in words is "one billion, nine hundred eighteen million, eight hundred sixty-eight thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 113 121 132 165 220 226 242 330 339 363 452 484 565 605 660 678 726 1130 1210 1243 1356 1452 1695 1815 2260 2339 2420 2486 3390 3630 3729 4678 4972 6215 6780 7017 7260 7458 9356 11695 12430 13673 14034 14916 18645 23390 24860 25729 27346 28068 35085 37290 41019 46780 51458 54692 68365 70170 74580 77187 82038 102916 128645 136730 140340 154374 164076 205095 257290 264307 273460 283019 308748 385935 410190 514580 528614 566038 771870 792921 820380 849057 1057228 1132076 1321535 1415095 1543740 1585842 1698114 2643070 2830190 2907377 3171684 3396228 3964605 4245285 5286140 5660380 5814754 7929210 8490570 8722131 11629508 14536885 15858420 16981140 17444262 29073770 31981147 34888524 43610655 58147540 63962294 87221310 95943441 127924588 159905735 174442620 191886882 319811470 383773764 479717205 639622940 959434410 1918868820