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421891649280 = 2834517594057
BaseRepresentation
bin1100010001110101011…
…00111010111100000000
31111022222100120101020000
412020322230322330000
523403013230234110
6521451522120000
742323603564253
oct6107254727400
91438870511200
10421891649280
11152a17923532
12699227b0000
1330a26bb487a
14165c37bb09a
15ae937731c0
hex623ab3af00

421891649280 has 720 divisors, whose sum is σ = 1625898083040. Its totient is φ = 104066187264.

The previous prime is 421891649273. The next prime is 421891649299. The reversal of 421891649280 is 82946198124.

It is a happy number.

421891649280 is a `hidden beast` number, since 4 + 218 + 91 + 64 + 9 + 280 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 103989012 + ... + 103993068.

It is an arithmetic number, because the mean of its divisors is an integer number (2258191782).

Almost surely, 2421891649280 is an apocalyptic number.

421891649280 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 421891649280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (812949041520).

421891649280 is an abundant number, since it is smaller than the sum of its proper divisors (1204006433760).

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

421891649280 is a wasteful number, since it uses less digits than its factorization.

421891649280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4166 (or 4143 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 421891649280 in words is "four hundred twenty-one billion, eight hundred ninety-one million, six hundred forty-nine thousand, two hundred eighty".