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58868218368 = 29341419469
BaseRepresentation
bin110110110100110100…
…011011101000000000
312121221121221100020000
4312310310123220000
51431030230441433
643013234120000
74152544412541
oct666464335000
9177847840200
1058868218368
1122a69635843
12b4aaa20000
13572212c60b
142bc64404c8
1517e81e0113
hexdb4d1ba00

58868218368 has 100 divisors (see below), whose sum is σ = 175706255010. Its totient is φ = 19622725632.

The previous prime is 58868218349. The next prime is 58868218379. The reversal of 58868218368 is 86381286885.

58868218368 is a `hidden beast` number, since 58 + 8 + 6 + 8 + 218 + 368 = 666.

It can be written as a sum of positive squares in only one way, i.e., 53950281984 + 4917936384 = 232272^2 + 70128^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 668263 + ... + 751206.

Almost surely, 258868218368 is an apocalyptic number.

It is an amenable number.

58868218368 is an abundant number, since it is smaller than the sum of its proper divisors (116838036642).

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

58868218368 is an equidigital number, since it uses as much as digits as its factorization.

58868218368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1419499 (or 1419474 counting only the distinct ones).

The product of its digits is 35389440, while the sum is 63.

The spelling of 58868218368 in words is "fifty-eight billion, eight hundred sixty-eight million, two hundred eighteen thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1152 1296 1536 1728 2304 2592 3456 4608 5184 6912 10368 13824 20736 41472 1419469 2838938 4258407 5677876 8516814 11355752 12775221 17033628 22711504 25550442 34067256 38325663 45423008 51100884 68134512 76651326 90846016 102201768 114976989 136269024 153302652 181692032 204403536 229953978 272538048 306605304 363384064 408807072 459907956 545076096 613210608 726768128 817614144 919815912 1090152192 1226421216 1635228288 1839631824 2180304384 2452842432 3270456576 3679263648 4905684864 6540913152 7358527296 9811369728 14717054592 19622739456 29434109184 58868218368