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6500110056 = 23311671792053
BaseRepresentation
bin1100000110110111…
…11100111011101000
3121210000002210200220
412003123330323220
5101303012010211
62552555530040
7320036011116
oct60333747350
917700083626
106500110056
112836162990
121314a59920
137c788bc8b
144593d2ab6
152809c3806
hex1836fcee8

6500110056 has 128 divisors (see below), whose sum is σ = 18101491200. Its totient is φ = 1928551680.

The previous prime is 6500110027. The next prime is 6500110073.

6500110056 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×65001100562 = 84502861480224646272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3165126 + ... + 3167178.

It is an arithmetic number, because the mean of its divisors is an integer number (141417900).

Almost surely, 26500110056 is an apocalyptic number.

6500110056 is a gapful number since it is divisible by the number (66) 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 6500110056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9050745600).

6500110056 is an abundant number, since it is smaller than the sum of its proper divisors (11601381144).

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

6500110056 is a wasteful number, since it uses less digits than its factorization.

6500110056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2319 (or 2315 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 6500110056 is about 80623.2600184339. The cubic root of 6500110056 is about 1866.2661113043.

It can be divided in two parts, 65001 and 10056, that added together give a palindrome (75057).

The spelling of 6500110056 in words is "six billion, five hundred million, one hundred ten thousand, fifty-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 67 88 132 134 179 201 264 268 358 402 536 537 716 737 804 1074 1432 1474 1608 1969 2053 2148 2211 2948 3938 4106 4296 4422 5896 5907 6159 7876 8212 8844 11814 11993 12318 15752 16424 17688 22583 23628 23986 24636 35979 45166 47256 47972 49272 67749 71958 90332 95944 131923 135498 137551 143916 180664 263846 270996 275102 287832 367487 395769 412653 527692 541992 550204 734974 791538 825306 1055384 1100408 1102461 1469948 1513061 1583076 1650612 2204922 2939896 3026122 3166152 3301224 4042357 4409844 4539183 6052244 8084714 8819688 9078366 12104488 12127071 16169428 18156732 24254142 24621629 32338856 36313464 48508284 49243258 73864887 97016568 98486516 147729774 196973032 270837919 295459548 541675838 590919096 812513757 1083351676 1625027514 2166703352 3250055028 6500110056