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123493907889 = 321122324632
BaseRepresentation
bin111001100000011001…
…1110111110110110001
3102210202111120112002100
41303000303313312301
54010403420023024
6132422103011013
711631202616532
oct1630063676661
9383674515070
10123493907889
1148412100900
121bb25a39a69
13b850cccaa1
145d9739a689
15332baac7c9
hex1cc0cf7db1

123493907889 has 81 divisors (see below), whose sum is σ = 205409780121. Its totient is φ = 71436047760.

The previous prime is 123493907879. The next prime is 123493907917. The reversal of 123493907889 is 988709394321.

The square root of 123493907889 is 351417.

It is a perfect power (a square), and thus also a powerful number.

123493907889 is a `hidden beast` number, since 1 + 234 + 9 + 390 + 7 + 8 + 8 + 9 = 666.

It is a de Polignac number, because none of the positive numbers 2k-123493907889 is a prime.

It is not an unprimeable number, because it can be changed into a prime (123493907879) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 266725272 + ... + 266725734.

Almost surely, 2123493907889 is an apocalyptic number.

123493907889 is the 351417-th square number.

123493907889 is the 175709-th centered octagonal number.

It is an amenable number.

123493907889 is a deficient number, since it is larger than the sum of its proper divisors (81915872232).

123493907889 is an equidigital number, since it uses as much as digits as its factorization.

123493907889 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The spelling of 123493907889 in words is "one hundred twenty-three billion, four hundred ninety-three million, nine hundred seven thousand, eight hundred eighty-nine".

Divisors: 1 3 9 11 23 33 69 99 121 207 253 363 463 529 759 1089 1389 1587 2277 2783 4167 4761 5093 5819 8349 10649 15279 17457 25047 31947 45837 52371 56023 64009 95841 117139 168069 192027 214369 244927 351417 504207 576081 643107 734781 1054251 1288529 1929321 2204343 2358059 2694197 3865587 4930487 7074177 8082591 11596761 14791461 21222531 24247773 25938649 29636167 44374383 54235357 77815947 88908501 113401201 162706071 233447841 266725503 340203603 488118213 596588927 1020610809 1247413211 1789766781 3742239633 5369300343 11226718899 13721545321 41164635963 123493907889