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84832243146 = 23277131130491
BaseRepresentation
bin100111100000001100…
…1010100110111001010
322002222002211110102100
41033000121110313022
52342214023240041
6102545453214230
76062136112020
oct1170031246712
9262862743370
1084832243146
1132a82653962
1214536191376
137ccc2b83a1
14416a84c710
1523178396b6
hex13c0654dca

84832243146 has 96 divisors (see below), whose sum is σ = 213711353856. Its totient is φ = 23818788000.

The previous prime is 84832243129. The next prime is 84832243183. The reversal of 84832243146 is 64134223848.

It is a happy number.

84832243146 is a `hidden beast` number, since 8 + 4 + 8 + 322 + 4 + 314 + 6 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2766961 + ... + 2797451.

It is an arithmetic number, because the mean of its divisors is an integer number (2226159936).

Almost surely, 284832243146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84832243146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106855676928).

84832243146 is an abundant number, since it is smaller than the sum of its proper divisors (128879110710).

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

84832243146 is a wasteful number, since it uses less digits than its factorization.

84832243146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30888 (or 30885 counting only the distinct ones).

The product of its digits is 884736, while the sum is 45.

The spelling of 84832243146 in words is "eighty-four billion, eight hundred thirty-two million, two hundred forty-three thousand, one hundred forty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 71 126 142 213 311 426 497 622 639 933 994 1278 1491 1866 2177 2799 2982 4354 4473 5598 6531 8946 13062 19593 22081 30491 39186 44162 60982 66243 91473 132486 154567 182946 198729 213437 274419 309134 397458 426874 463701 548838 640311 927402 1280622 1391103 1920933 2164861 2782206 3841866 4329722 6494583 9482701 12989166 15154027 18965402 19483749 28448103 30308054 38967498 45462081 56896206 66378907 85344309 90924162 132757814 136386243 170688618 199136721 272772486 398273442 597410163 673271771 1194820326 1346543542 2019815313 4039630626 4712902397 6059445939 9425804794 12118891878 14138707191 28277414382 42416121573 84832243146