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42352960848 = 24311672107167
BaseRepresentation
bin100111011100011011…
…101110010101010000
311001022122120022222120
4213130123232111100
51143214324221343
631242350534240
73026355140652
oct473433562520
9131278508876
1042352960848
1116a64162390
12825bb07380
133cbc6ab6a3
14209aca46d2
15117d36a683
hex9dc6ee550

42352960848 has 240 divisors, whose sum is σ = 123031125504. Its totient is φ = 12449521920.

The previous prime is 42352960697. The next prime is 42352960943. The reversal of 42352960848 is 84806925324.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 42352960848.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 253610461 + ... + 253610627.

Almost surely, 242352960848 is an apocalyptic number.

42352960848 is a gapful number since it is divisible by the number (48) 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 42352960848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61515562752).

42352960848 is an abundant number, since it is smaller than the sum of its proper divisors (80678164656).

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

42352960848 is a wasteful number, since it uses less digits than its factorization.

42352960848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 51.

The spelling of 42352960848 in words is "forty-two billion, three hundred fifty-two million, nine hundred sixty thousand, eight hundred forty-eight".