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42883075968 = 273155371909
BaseRepresentation
bin100111111100000001…
…111100111110000000
311002200121001222012220
4213330001330332000
51200311031412333
631411125051040
73045453063045
oct477401747600
9132617058186
1042883075968
1117206418757
128389556a80
134075478c85
14210b4591cc
1511aeb818b3
hex9fc07cf80

42883075968 has 64 divisors (see below), whose sum is σ = 113983102800. Its totient is φ = 14284955648.

The previous prime is 42883075967. The next prime is 42883075979. The reversal of 42883075968 is 86957038824.

42883075968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42883075967) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 560398 + ... + 632306.

Almost surely, 242883075968 is an apocalyptic number.

42883075968 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

42883075968 is an abundant number, since it is smaller than the sum of its proper divisors (71100026832).

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

42883075968 is a wasteful number, since it uses less digits than its factorization.

42883075968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73479 (or 73467 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 60.

The spelling of 42883075968 in words is "forty-two billion, eight hundred eighty-three million, seventy-five thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 1553 3106 4659 6212 9318 12424 18636 24848 37272 49696 71909 74544 99392 143818 149088 198784 215727 287636 298176 431454 575272 596352 862908 1150544 1725816 2301088 3451632 4602176 6903264 9204352 13806528 27613056 111674677 223349354 335024031 446698708 670048062 893397416 1340096124 1786794832 2680192248 3573589664 5360384496 7147179328 10720768992 14294358656 21441537984 42883075968