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54491519013120 = 28325717140928211
BaseRepresentation
bin11000110001111010010111…
…01000100101000100000000
321010221100010122120220110100
430120331023220211010000
524120242112331404440
6311521020325402400
714322611432205420
oct1430751350450400
9233840118526410
1054491519013120
11163a97a598a192
1261409a3569400
1324536b359a437
14d6559165a480
156476b1de3230
hex318f4ba25100

54491519013120 has 864 divisors, whose sum is σ = 228313179843840. Its totient is φ = 11713810268160.

The previous prime is 54491519013059. The next prime is 54491519013143. The reversal of 54491519013120 is 2131091519445.

54491519013120 is a `hidden beast` number, since 5 + 4 + 4 + 9 + 1 + 519 + 0 + 1 + 3 + 120 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1931555815 + ... + 1931584025.

It is an arithmetic number, because the mean of its divisors is an integer number (264251365560).

Almost surely, 254491519013120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54491519013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114156589921920).

54491519013120 is an abundant number, since it is smaller than the sum of its proper divisors (173821660830720).

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

54491519013120 is a wasteful number, since it uses less digits than its factorization.

54491519013120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29671 (or 29654 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The spelling of 54491519013120 in words is "fifty-four trillion, four hundred ninety-one billion, five hundred nineteen million, thirteen thousand, one hundred twenty".