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2021052816 = 243353103857
BaseRepresentation
bin111100001110110…
…1101000110010000
312012211222010021000
41320131231012100
513114342142231
6532314102000
7101040444156
oct17035550620
95184863230
102021052816
11947916992
12484a1a900
13262938a53
141525b93d6
15bc6706e6
hex7876d190

2021052816 has 160 divisors (see below), whose sum is σ = 5974974720. Its totient is φ = 653792256.

The previous prime is 2021052809. The next prime is 2021052823. The reversal of 2021052816 is 6182501202.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2021052809) and next prime (2021052823).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 2021052816.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2357860 + ... + 2358716.

It is an arithmetic number, because the mean of its divisors is an integer number (37343592).

Almost surely, 22021052816 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 2021052816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2987487360).

2021052816 is an abundant number, since it is smaller than the sum of its proper divisors (3953921904).

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

2021052816 is a wasteful number, since it uses less digits than its factorization.

2021052816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1030 (or 1018 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 2021052816 is about 44956.1210070442. The cubic root of 2021052816 is about 1264.3264425505.

The spelling of 2021052816 in words is "two billion, twenty-one million, fifty-two thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 53 54 72 103 106 108 144 159 206 212 216 309 318 412 424 432 477 618 636 824 848 857 927 954 1236 1272 1431 1648 1714 1854 1908 2472 2544 2571 2781 2862 3428 3708 3816 4944 5142 5459 5562 5724 6856 7416 7632 7713 10284 10918 11124 11448 13712 14832 15426 16377 20568 21836 22248 22896 23139 30852 32754 41136 43672 44496 45421 46278 49131 61704 65508 87344 88271 90842 92556 98262 123408 131016 136263 147393 176542 181684 185112 196524 262032 264813 272526 294786 353084 363368 370224 393048 408789 529626 545052 589572 706168 726736 786096 794439 817578 1059252 1090104 1179144 1226367 1412336 1588878 1635156 2118504 2180208 2358288 2383317 2452734 3177756 3270312 4237008 4678363 4766634 4905468 6355512 6540624 9356726 9533268 9810936 12711024 14035089 18713452 19066536 19621872 28070178 37426904 38133072 42105267 56140356 74853808 84210534 112280712 126315801 168421068 224561424 252631602 336842136 505263204 673684272 1010526408 2021052816