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421382062080 = 21838572
BaseRepresentation
bin1100010000111000101…
…01000000000000000000
31111021122211200200000000
412020130111000000000
523400442301441310
6521325200000000
742305145300300
oct6103425000000
91437584620000
10421382062080
11152786209091
1269800000000
1330975453a95
1416575c4b600
15ae63b644c0
hex621c540000

421382062080 has 1026 divisors, whose sum is σ = 1764551861514. Its totient is φ = 96315899904.

The previous prime is 421382062067. The next prime is 421382062121. The reversal of 421382062080 is 80260283124.

421382062080 is a `hidden beast` number, since 4 + 2 + 1 + 3 + 8 + 20 + 620 + 8 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 337105649664 + 84276412416 = 580608^2 + 290304^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 60197437437 + ... + 60197437443.

Almost surely, 2421382062080 is an apocalyptic number.

421382062080 is a gapful number since it is divisible by the number (40) 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 421382062080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (882275930757).

421382062080 is an abundant number, since it is smaller than the sum of its proper divisors (1343169799434).

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

421382062080 is an frugal number, since it uses more digits than its factorization.

421382062080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 421382062080 in words is "four hundred twenty-one billion, three hundred eighty-two million, sixty-two thousand, eighty".