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121713596934480 = 24325973203544099
BaseRepresentation
bin11011101011001010100111…
…101101011010100101010000
3120221221201001211201200210100
4123223022213231122211100
5111423123421303400410
61110510242102132400
734431342252615135
oct3353124755324520
9527851054650710
10121713596934480
11358664a0447931
1211798ab1421100
1352bb709ac85b5
14220ad8053258c
15e110b39da8c0
hex6eb2a7b5a950

121713596934480 has 240 divisors, whose sum is σ = 413098488129600. Its totient is φ = 32112263503872.

The previous prime is 121713596934473. The next prime is 121713596934541. The reversal of 121713596934480 is 84439695317121.

121713596934480 is a `hidden beast` number, since 1 + 2 + 1 + 7 + 1 + 3 + 596 + 9 + 34 + 4 + 8 + 0 = 666.

121713596934480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 223425471 + ... + 223969569.

It is an arithmetic number, because the mean of its divisors is an integer number (1721243700540).

It is a 1-persistent number, because it is pandigital, but 2⋅121713596934480 = 243427193868960 is not.

Almost surely, 2121713596934480 is an apocalyptic number.

121713596934480 is a gapful number since it is divisible by the number (10) 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 121713596934480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206549244064800).

121713596934480 is an abundant number, since it is smaller than the sum of its proper divisors (291384891195120).

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

121713596934480 is a wasteful number, since it uses less digits than its factorization.

121713596934480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547418 (or 547409 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 121713596934480 in words is "one hundred twenty-one trillion, seven hundred thirteen billion, five hundred ninety-six million, nine hundred thirty-four thousand, four hundred eighty".