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2124968417 = 11131929149181
BaseRepresentation
bin111111010101000…
…0111000111100001
312111002111120122222
41332222013013201
513322442442132
6550505240425
7103441635125
oct17652070741
95432446588
102124968417
119a0542250
124b3793115
1327b320880
14162309585
15c684a412
hex7ea871e1

2124968417 has 64 divisors (see below), whose sum is σ = 2751840000. Its totient is φ = 1611187200.

The previous prime is 2124968401. The next prime is 2124968429. The reversal of 2124968417 is 7148694212.

It is a cyclic number.

It is not a de Polignac number, because 2124968417 - 24 = 2124968401 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2124968437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11740067 + ... + 11740247.

It is an arithmetic number, because the mean of its divisors is an integer number (42997500).

Almost surely, 22124968417 is an apocalyptic number.

It is an amenable number.

2124968417 is a deficient number, since it is larger than the sum of its proper divisors (626871583).

2124968417 is a wasteful number, since it uses less digits than its factorization.

2124968417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402.

The product of its digits is 193536, while the sum is 44.

The square root of 2124968417 is about 46097.3797194591. The cubic root of 2124968417 is about 1285.6344259810.

The spelling of 2124968417 in words is "two billion, one hundred twenty-four million, nine hundred sixty-eight thousand, four hundred seventeen".

Divisors: 1 11 13 19 29 143 149 181 209 247 319 377 551 1639 1937 1991 2353 2717 2831 3439 4147 4321 5249 6061 7163 21307 25883 26969 31141 36803 37829 44707 47531 56173 57739 68237 78793 82099 99731 296659 350597 404833 491777 512411 617903 750607 782101 903089 1067287 1097041 1296503 3856567 5636521 6661343 8603111 10167313 11740157 14261533 14859919 73274773 111840443 163459109 193178947 2124968417