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942459420672 = 2153274113
BaseRepresentation
bin11011011011011101111…
…01011000000000000000
310100002122121200010122100
431231232331120000000
5110420124102430142
62000543200110400
7125043010620000
oct15555675300000
93302577603570
10942459420672
11333770856000
121327a3905400
136ab48230673
1433888480000
15197aedc5b4c
hexdb6ef58000

942459420672 has 960 divisors, whose sum is σ = 3493581198120. Its totient is φ = 244794654720.

The previous prime is 942459420671. The next prime is 942459420731. The reversal of 942459420672 is 276024954249.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

942459420672 is a `hidden beast` number, since 9 + 4 + 24 + 594 + 20 + 6 + 7 + 2 = 666.

It is a super-2 number, since 2×9424594206722 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (942459420671) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 85678129147 + ... + 85678129157.

Almost surely, 2942459420672 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 942459420672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1746790599060).

942459420672 is an abundant number, since it is smaller than the sum of its proper divisors (2551121777448).

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

942459420672 is an frugal number, since it uses more digits than its factorization.

942459420672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 942459420672 in words is "nine hundred forty-two billion, four hundred fifty-nine million, four hundred twenty thousand, six hundred seventy-two".