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2081721852 = 22327191972207
BaseRepresentation
bin111110000010100…
…1000110111111100
312101002010102112100
41330011020313330
513230410044402
6542322305100
7102405225630
oct17405106774
95332112470
102081721852
11979094491
124a11b8190
1327238b3a2
1415a68cdc0
15c2b5671c
hex7c148dfc

2081721852 has 144 divisors (see below), whose sum is σ = 6365399040. Its totient is φ = 560359296.

The previous prime is 2081721799. The next prime is 2081721857. The reversal of 2081721852 is 2581271802.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2081721857) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 942133 + ... + 944339.

It is an arithmetic number, because the mean of its divisors is an integer number (44204160).

Almost surely, 22081721852 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 2081721852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3182699520).

2081721852 is an abundant number, since it is smaller than the sum of its proper divisors (4283677188).

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

2081721852 is a wasteful number, since it uses less digits than its factorization.

2081721852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2440 (or 2435 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The square root of 2081721852 is about 45625.8901502206. The cubic root of 2081721852 is about 1276.8529974869.

The spelling of 2081721852 in words is "two billion, eighty-one million, seven hundred twenty-one thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 42 57 63 76 84 114 126 133 171 197 228 252 266 342 394 399 532 591 684 788 798 1182 1197 1379 1596 1773 2207 2364 2394 2758 3546 3743 4137 4414 4788 5516 6621 7092 7486 8274 8828 11229 12411 13242 14972 15449 16548 19863 22458 24822 26201 26484 30898 33687 39726 41933 44916 46347 49644 52402 61796 67374 78603 79452 83866 92694 104804 125799 134748 139041 157206 167732 185388 235809 251598 278082 293531 314412 377397 434779 471618 503196 556164 587062 754794 869558 880593 943236 1174124 1304337 1509588 1739116 1761186 2608674 2641779 3043453 3522372 3913011 5217348 5283558 6086906 7826022 8260801 9130359 10567116 12173812 15652044 16521602 18260718 24782403 27391077 33043204 36521436 49564806 54782154 57825607 74347209 99129612 109564308 115651214 148694418 173476821 231302428 297388836 346953642 520430463 693907284 1040860926 2081721852