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2117282496 = 26375926701
BaseRepresentation
bin111111000110011…
…0010101011000000
312110120001002120020
41332030302223000
513314011014441
6550032413440
7103316414160
oct17614625300
95416032506
102117282496
1199717274a
124b10a7280
1327985c3a4
141612a85a0
15c5d2ce66
hex7e332ac0

2117282496 has 112 divisors (see below), whose sum is σ = 6511015680. Its totient is φ = 594662400.

The previous prime is 2117282491. The next prime is 2117282501. The reversal of 2117282496 is 6942827112.

It is an interprime number because it is at equal distance from previous prime (2117282491) and next prime (2117282501).

It is a tau number, because it is divible by the number of its divisors (112).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (2117282491) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65946 + ... + 92646.

Almost surely, 22117282496 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 2117282496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3255507840).

2117282496 is an abundant number, since it is smaller than the sum of its proper divisors (4393733184).

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

2117282496 is a wasteful number, since it uses less digits than its factorization.

2117282496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26782 (or 26772 counting only the distinct ones).

The product of its digits is 96768, while the sum is 42.

The square root of 2117282496 is about 46013.9380622872. The cubic root of 2117282496 is about 1284.0825249508.

The spelling of 2117282496 in words is "two billion, one hundred seventeen million, two hundred eighty-two thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 59 64 84 96 112 118 168 177 192 224 236 336 354 413 448 472 672 708 826 944 1239 1344 1416 1652 1888 2478 2832 3304 3776 4956 5664 6608 9912 11328 13216 19824 26432 26701 39648 53402 79296 80103 106804 160206 186907 213608 320412 373814 427216 560721 640824 747628 854432 1121442 1281648 1495256 1575359 1708864 2242884 2563296 2990512 3150718 4485768 4726077 5126592 5981024 6301436 8971536 9452154 11027513 11962048 12602872 17943072 18904308 22055026 25205744 33082539 35886144 37808616 44110052 50411488 66165078 75617232 88220104 100822976 132330156 151234464 176440208 264660312 302468928 352880416 529320624 705760832 1058641248 2117282496