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2064205352 = 2311416183113
BaseRepresentation
bin111101100001001…
…0100011000101000
312022212011111102002
41323002110120220
513211414032402
6540455030132
7102103312256
oct17302243050
95285144362
102064205352
1196a210040
1249736b348
1326b8674b1
1415820d5d6
15c1346602
hex7b094628

2064205352 has 128 divisors (see below), whose sum is σ = 4488462720. Its totient is φ = 881664000.

The previous prime is 2064205349. The next prime is 2064205369. The reversal of 2064205352 is 2535024602.

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, 18267248 + ... + 18267360.

It is an arithmetic number, because the mean of its divisors is an integer number (35066115).

Almost surely, 22064205352 is an apocalyptic number.

2064205352 is a gapful number since it is divisible by the number (22) 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 2064205352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2244231360).

2064205352 is an abundant number, since it is smaller than the sum of its proper divisors (2424257368).

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

2064205352 is a wasteful number, since it uses less digits than its factorization.

2064205352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 29.

The square root of 2064205352 is about 45433.5267396226. The cubic root of 2064205352 is about 1273.2615758350.

Adding to 2064205352 its reverse (2535024602), we get a palindrome (4599229954).

The spelling of 2064205352 in words is "two billion, sixty-four million, two hundred five thousand, three hundred fifty-two".

Divisors: 1 2 4 8 11 22 41 44 61 82 83 88 113 122 164 166 226 244 328 332 451 452 488 664 671 902 904 913 1243 1342 1804 1826 2486 2501 2684 3403 3608 3652 4633 4972 5002 5063 5368 6806 6893 7304 9266 9379 9944 10004 10126 13612 13786 18532 18758 20008 20252 27224 27511 27572 37064 37433 37516 40504 50963 55022 55144 55693 74866 75032 75823 101926 103169 110044 111386 149732 151646 203852 206338 207583 220088 222772 282613 299464 303292 384539 407704 412676 415166 445544 565226 572119 606584 769078 825352 830332 1130452 1144238 1538156 1660664 2260904 2283413 2288476 3076312 3108743 4229929 4566826 4576952 6217486 6293309 8459858 9133652 12434972 12586618 16919716 18267304 23456879 24869944 25173236 33839432 46913758 50346472 93827516 187655032 258025669 516051338 1032102676 2064205352