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42368271360 = 2103514511901
BaseRepresentation
bin100111011101010110…
…001000010000000000
311001100201101012001120
4213131112020100000
51143232234140420
631244055032240
73026632236012
oct473526102000
9131321335046
1042368271360
1116a7186a3a8
12826506b680
133cc290c46c
14209cd2c1b2
15117e891d40
hex9dd588400

42368271360 has 176 divisors, whose sum is σ = 135676994112. Its totient is φ = 11284480000.

The previous prime is 42368271349. The next prime is 42368271409. The reversal of 42368271360 is 6317286324.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22286410 + ... + 22288310.

It is an arithmetic number, because the mean of its divisors is an integer number (770892012).

Almost surely, 242368271360 is an apocalyptic number.

42368271360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42368271360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67838497056).

42368271360 is an abundant number, since it is smaller than the sum of its proper divisors (93308722752).

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

42368271360 is a wasteful number, since it uses less digits than its factorization.

42368271360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3380 (or 3362 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The spelling of 42368271360 in words is "forty-two billion, three hundred sixty-eight million, two hundred seventy-one thousand, three hundred sixty".