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2666242300 = 2252412332791
BaseRepresentation
bin1001111011101011…
…1010000011111100
320212211000010211211
42132322322003330
520430024223200
61120322454204
7123033454111
oct23672720374
96784003754
102666242300
11114902a337
12624b04364
133364c7287
141b4166908
15109117aba
hex9eeba0fc

2666242300 has 72 divisors (see below), whose sum is σ = 5954431392. Its totient is φ = 1035648000.

The previous prime is 2666242297. The next prime is 2666242301. The reversal of 2666242300 is 32426662.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2666242301) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 953905 + ... + 956695.

It is an arithmetic number, because the mean of its divisors is an integer number (82700436).

Almost surely, 22666242300 is an apocalyptic number.

2666242300 is a gapful number since it is divisible by the number (20) 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 2666242300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2977215696).

2666242300 is an abundant number, since it is smaller than the sum of its proper divisors (3288189092).

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

2666242300 is a wasteful number, since it uses less digits than its factorization.

2666242300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3079 (or 3072 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 31.

The square root of 2666242300 is about 51635.6688733670. The cubic root of 2666242300 is about 1386.6489849457.

Adding to 2666242300 its reverse (32426662), we get a palindrome (2698668962).

The spelling of 2666242300 in words is "two billion, six hundred sixty-six million, two hundred forty-two thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 164 205 233 410 466 820 932 1025 1165 2050 2330 2791 4100 4660 5582 5825 9553 11164 11650 13955 19106 23300 27910 38212 47765 55820 69775 95530 114431 139550 191060 228862 238825 279100 457724 477650 572155 650303 955300 1144310 1300606 2288620 2601212 2860775 3251515 5721550 6503030 11443100 13006060 16257575 26662423 32515150 53324846 65030300 106649692 133312115 266624230 533248460 666560575 1333121150 2666242300