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59053104000 = 2733531117243
BaseRepresentation
bin110110111111110101…
…101101101110000000
312122102111211111122000
4312333311231232000
51431420043312000
643043440544000
74160251046652
oct667765555600
9178374744560
1059053104000
1123053a35090
12b540922000
1357515241b7
142c02c0a6d2
151809561000
hexdbfd6db80

59053104000 has 1536 divisors, whose sum is σ = 257927155200. Its totient is φ = 13160448000.

The previous prime is 59053103959. The next prime is 59053104001. The reversal of 59053104000 is 40135095.

59053104000 is a `hidden beast` number, since 5 + 90 + 531 + 0 + 40 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (59053104001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1373327979 + ... + 1373328021.

It is an arithmetic number, because the mean of its divisors is an integer number (167921325).

Almost surely, 259053104000 is an apocalyptic number.

59053104000 is a gapful number since it is divisible by the number (50) 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 59053104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128963577600).

59053104000 is an abundant number, since it is smaller than the sum of its proper divisors (198874051200).

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

59053104000 is a wasteful number, since it uses less digits than its factorization.

59053104000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

Adding to 59053104000 its reverse (40135095), we get a palindrome (59093239095).

The spelling of 59053104000 in words is "fifty-nine billion, fifty-three million, one hundred four thousand".