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42061060608 = 293721967439
BaseRepresentation
bin100111001011000010…
…001101101000000000
311000120022022021010120
4213023002031220000
51142120112414413
631153402300240
73016212054600
oct471302155000
9130508267116
1042061060608
1116924410416
12819a1b7680
133c74088558
1420701dcc00
15116290b723
hex9cb08da00

42061060608 has 480 divisors, whose sum is σ = 139573209600. Its totient is φ = 11189477376.

The previous prime is 42061060603. The next prime is 42061060619. The reversal of 42061060608 is 80606016024.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42061060603) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 95810853 + ... + 95811291.

It is an arithmetic number, because the mean of its divisors is an integer number (290777520).

Almost surely, 242061060608 is an apocalyptic number.

42061060608 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 42061060608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69786604800).

42061060608 is an abundant number, since it is smaller than the sum of its proper divisors (97512148992).

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

42061060608 is a wasteful number, since it uses less digits than its factorization.

42061060608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The spelling of 42061060608 in words is "forty-two billion, sixty-one million, sixty thousand, six hundred eight".