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63421693513920 = 263257171439128599
BaseRepresentation
bin11100110101110100000111…
…00000110101000011000000
322022120001110212101212000200
432122322003200311003000
531303100112014421140
6342515305045245200
716234031455060020
oct1632720340650300
9268501425355020
1063421693513920
1119231a97652285
127143670a03800
13295084220c5a1
1411938aa991a80
1574eb2547d030
hex39ae838350c0

63421693513920 has 672 divisors, whose sum is σ = 264158309376000. Its totient is φ = 13634071068672.

The previous prime is 63421693513909. The next prime is 63421693513939. The reversal of 63421693513920 is 2931539612436.

63421693513920 is a `hidden beast` number, since 6 + 3 + 4 + 2 + 16 + 93 + 513 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×634216935139202 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 493109781 + ... + 493238379.

Almost surely, 263421693513920 is an apocalyptic number.

63421693513920 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 63421693513920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132079154688000).

63421693513920 is an abundant number, since it is smaller than the sum of its proper divisors (200736615862080).

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

63421693513920 is a wasteful number, since it uses less digits than its factorization.

63421693513920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130085 (or 130072 counting only the distinct ones).

The product of its (nonzero) digits is 6298560, while the sum is 54.

The spelling of 63421693513920 in words is "sixty-three trillion, four hundred twenty-one billion, six hundred ninety-three million, five hundred thirteen thousand, nine hundred twenty".