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2011502064 = 2431121326641
BaseRepresentation
bin111011111100101…
…0001010111110000
312012011222220002110
41313321101113300
513104421031224
6531333245320
7100563325335
oct16771212760
95164886073
102011502064
11942493300
12481793840
13260973810
1415121098c
15bb8d5929
hex77e515f0

2011502064 has 120 divisors (see below), whose sum is σ = 6151318096. Its totient is φ = 562636800.

The previous prime is 2011502063. The next prime is 2011502069. The reversal of 2011502064 is 4602051102.

It is a super-2 number, since 2×20115020642 = 8092281106952520192, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2011502064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011502063) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62184 + ... + 88824.

Almost surely, 22011502064 is an apocalyptic number.

2011502064 is a gapful number since it is divisible by the number (24) 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 2011502064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3075659048).

2011502064 is an abundant number, since it is smaller than the sum of its proper divisors (4139816032).

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

2011502064 is a wasteful number, since it uses less digits than its factorization.

2011502064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26687 (or 26670 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 2011502064 is about 44849.7721733344. The cubic root of 2011502064 is about 1262.3317166020.

Adding to 2011502064 its reverse (4602051102), we get a palindrome (6613553166).

The spelling of 2011502064 in words is "two billion, eleven million, five hundred two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 33 39 44 48 52 66 78 88 104 121 132 143 156 176 208 242 264 286 312 363 429 484 528 572 624 726 858 968 1144 1452 1573 1716 1936 2288 2904 3146 3432 4719 5808 6292 6864 9438 12584 18876 25168 26641 37752 53282 75504 79923 106564 159846 213128 293051 319692 346333 426256 586102 639384 692666 879153 1038999 1172204 1278768 1385332 1758306 2077998 2344408 2770664 3223561 3516612 3809663 4155996 4688816 5541328 6447122 7033224 7619326 8311992 9670683 11428989 12894244 14066448 15238652 16623984 19341366 22857978 25788488 30477304 38682732 41906293 45715956 51576976 60954608 77365464 83812586 91431912 125718879 154730928 167625172 182863824 251437758 335250344 502875516 670500688 1005751032 2011502064