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58150942368 = 25310311295209
BaseRepresentation
bin110110001010000100…
…001111011010100000
312120002122020221112020
4312022010033122200
51423043120123433
642414132301440
74126014566061
oct661204173240
9176078227466
1058150942368
1122730766762
12b32a771880
13563965194c
142b5908a568
1517a5258cb3
hexd8a10f6a0

58150942368 has 96 divisors (see below), whose sum is σ = 154294358400. Its totient is φ = 19174772736.

The previous prime is 58150942349. The next prime is 58150942397. The reversal of 58150942368 is 86324905185.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 58150942368.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11160948 + ... + 11166156.

It is an arithmetic number, because the mean of its divisors is an integer number (1607232900).

Almost surely, 258150942368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58150942368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77147179200).

58150942368 is an abundant number, since it is smaller than the sum of its proper divisors (96143416032).

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

58150942368 is a wasteful number, since it uses less digits than its factorization.

58150942368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6454 (or 6446 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 51.

The spelling of 58150942368 in words is "fifty-eight billion, one hundred fifty million, nine hundred forty-two thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 103 206 309 412 618 824 1129 1236 1648 2258 2472 3296 3387 4516 4944 5209 6774 9032 9888 10418 13548 15627 18064 20836 27096 31254 36128 41672 54192 62508 83344 108384 116287 125016 166688 232574 250032 348861 465148 500064 536527 697722 930296 1073054 1395444 1609581 1860592 2146108 2790888 3219162 3721184 4292216 5581776 5880961 6438324 8584432 11163552 11761922 12876648 17168864 17642883 23523844 25753296 35285766 47047688 51506592 70571532 94095376 141143064 188190752 282286128 564572256 605738983 1211477966 1817216949 2422955932 3634433898 4845911864 7268867796 9691823728 14537735592 19383647456 29075471184 58150942368