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42935135568 = 2431368806307
BaseRepresentation
bin100111111111001000…
…100010110101010000
311002211020000212120020
4213333020202311100
51200412343314233
631420224543440
73046654426233
oct477710426520
9132736025506
1042935135568
1117232845916
1283a2a81b80
1340831a5980
14211432b41a
1511b45169b3
hex9ff222d50

42935135568 has 40 divisors (see below), whose sum is σ = 119447750688. Its totient is φ = 13210810752.

The previous prime is 42935135561. The next prime is 42935135569. The reversal of 42935135568 is 86553153924.

42935135568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 42935135568.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42935135561) 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, 34402530 + ... + 34403777.

Almost surely, 242935135568 is an apocalyptic number.

42935135568 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

42935135568 is an abundant number, since it is smaller than the sum of its proper divisors (76512615120).

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

42935135568 is a wasteful number, since it uses less digits than its factorization.

42935135568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68806331 (or 68806325 counting only the distinct ones).

The product of its digits is 3888000, while the sum is 51.

It can be divided in two parts, 42935 and 135568, that added together give a triangular number (178503 = T597).

The spelling of 42935135568 in words is "forty-two billion, nine hundred thirty-five million, one hundred thirty-five thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 68806307 137612614 206418921 275225228 412837842 550450456 825675684 894481991 1100900912 1651351368 1788963982 2683445973 3302702736 3577927964 5366891946 7155855928 10733783892 14311711856 21467567784 42935135568