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942402968064 = 2934313112357
BaseRepresentation
bin11011011011010111001…
…10000001101000000000
310100002111200110001020000
431231223212001220000
5110420020124434224
62000533422120000
7125041424026065
oct15555346015000
93302450401200
10942402968064
113337419a8358
12132788a20000
136ab3962625c
1433880b86c6c
15197a9e740c9
hexdb6b981a00

942402968064 has 400 divisors, whose sum is σ = 2914133054976. Its totient is φ = 302894899200.

The previous prime is 942402968011. The next prime is 942402968113. The reversal of 942402968064 is 460869204249.

942402968064 is a `hidden beast` number, since 94 + 2 + 402 + 96 + 8 + 0 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 942402968064.

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 39 ways as a sum of consecutive naturals, for example, 399830374 + ... + 399832730.

Almost surely, 2942402968064 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 942402968064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1457066527488).

942402968064 is an abundant number, since it is smaller than the sum of its proper divisors (1971730086912).

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

942402968064 is a wasteful number, since it uses less digits than its factorization.

942402968064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2729 (or 2704 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 942402968064 in words is "nine hundred forty-two billion, four hundred two million, nine hundred sixty-eight thousand, sixty-four".