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42859453968 = 243399211699
BaseRepresentation
bin100111111010100111…
…110101111000010000
311002121221121211221000
4213322213311320100
51200234010011333
631404522502000
73045045230202
oct477247657020
9132557554830
1042859453968
11171a4054141
128381664900
1340705c8066
14210826a772
1511aca67713
hex9fa9f5e10

42859453968 has 40 divisors (see below), whose sum is σ = 123022508000. Its totient is φ = 14286484512.

The previous prime is 42859453921. The next prime is 42859453993. The reversal of 42859453968 is 86935495824.

42859453968 is a `hidden beast` number, since 4 + 2 + 8 + 5 + 94 + 539 + 6 + 8 = 666.

It is a super-3 number, since 3×428594539683 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49605418 + ... + 49606281.

It is an arithmetic number, because the mean of its divisors is an integer number (3075562700).

Almost surely, 242859453968 is an apocalyptic number.

42859453968 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

42859453968 is an abundant number, since it is smaller than the sum of its proper divisors (80163054032).

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

42859453968 is a wasteful number, since it uses less digits than its factorization.

42859453968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99211716 (or 99211704 counting only the distinct ones).

The product of its digits is 74649600, while the sum is 63.

The spelling of 42859453968 in words is "forty-two billion, eight hundred fifty-nine million, four hundred fifty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 99211699 198423398 297635097 396846796 595270194 793693592 892905291 1190540388 1587387184 1785810582 2381080776 2678715873 3571621164 4762161552 5357431746 7143242328 10714863492 14286484656 21429726984 42859453968