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42355039776 = 2537177179661
BaseRepresentation
bin100111011100100011…
…101001111000100000
311001022210110221201220
4213130203221320200
51143220342233101
631242503255040
73026411616660
oct473443517040
9131283427656
1042355039776
1116a65352305
12826074a480
133cbcc58a1a
14209b2861a0
15117d62b636
hex9dc8e9e20

42355039776 has 384 divisors, whose sum is σ = 138370498560. Its totient is φ = 11070259200.

The previous prime is 42355039757. The next prime is 42355039781. The reversal of 42355039776 is 67793055324.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 64076886 + ... + 64077546.

It is an arithmetic number, because the mean of its divisors is an integer number (360339840).

Almost surely, 242355039776 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 42355039776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69185249280).

42355039776 is an abundant number, since it is smaller than the sum of its proper divisors (96015458784).

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

42355039776 is a wasteful number, since it uses less digits than its factorization.

42355039776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 848 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 4762800, while the sum is 51.

The spelling of 42355039776 in words is "forty-two billion, three hundred fifty-five million, thirty-nine thousand, seven hundred seventy-six".