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642420927360 = 27375458977
BaseRepresentation
bin10010101100100110100…
…01010110101110000000
32021102012102022110000000
421112103101112232000
541011134224133420
61211042450000000
764261534533042
oct11262321265600
92242172273000
10642420927360
112284a3958153
12a4609576000
1348770444c64
142314419ba92
1511a9e161690
hex9593456b80

642420927360 has 256 divisors, whose sum is σ = 2303335195200. Its totient is φ = 171311874048.

The previous prime is 642420927299. The next prime is 642420927371. The reversal of 642420927360 is 63729024246.

642420927360 is a `hidden beast` number, since 64 + 2 + 4 + 209 + 27 + 360 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1170192 + ... + 1629168.

Almost surely, 2642420927360 is an apocalyptic number.

642420927360 is a gapful number since it is divisible by the number (60) 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 642420927360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1151667597600).

642420927360 is an abundant number, since it is smaller than the sum of its proper divisors (1660914267840).

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

642420927360 is an frugal number, since it uses more digits than its factorization.

642420927360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459017 (or 458987 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 642420927360 in words is "six hundred forty-two billion, four hundred twenty million, nine hundred twenty-seven thousand, three hundred sixty".