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93019620830224 = 24114199272
BaseRepresentation
bin10101001001100111010001…
…011101001110110000010000
3110012100120220022102000000011
4111021213101131032300100
544143013140413031344
6525500342431404304
725410305630161504
oct2511472135166020
9405316808360004
1093019620830224
1127703443a40000
12a5239aa983694
133cb9935797c3a
1418d82607a0304
15ab49c18ded34
hex5499d174ec10

93019620830224 has 75 divisors (see below), whose sum is σ = 198256785083535. Its totient is φ = 42279524004960.

The previous prime is 93019620830203. The next prime is 93019620830267. The reversal of 93019620830224 is 42203802691039.

The square root of 93019620830224 is 9644668.

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 4668009349 + ... + 4668029275.

Almost surely, 293019620830224 is an apocalyptic number.

93019620830224 is the 9644668-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 93019620830224

93019620830224 is an abundant number, since it is smaller than the sum of its proper divisors (105237164253311).

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

93019620830224 is an frugal number, since it uses more digits than its factorization.

93019620830224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39906 (or 19940 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 49.

The spelling of 93019620830224 in words is "ninety-three trillion, nineteen billion, six hundred twenty million, eight hundred thirty thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 968 1331 1936 2662 5324 10648 14641 19927 21296 29282 39854 58564 79708 117128 159416 219197 234256 318832 438394 876788 1753576 2411167 3507152 4822334 9644668 19289336 26522837 38578672 53045674 106091348 212182696 291751207 397085329 424365392 583502414 794170658 1167004828 1588341316 2334009656 3176682632 4367938619 4668019312 6353365264 8735877238 17471754476 34943508952 48047324809 69887017904 96094649618 192189299236 384378598472 528520572899 768757196944 1057041145798 2114082291596 4228164583192 5813726301889 8456329166384 11627452603778 23254905207556 46509810415112 93019620830224