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527999472000 = 27345371121337
BaseRepresentation
bin1111010111011110011…
…10001001000110000000
31212110212012011021010000
413223233032021012000
532122320331101000
61042320513040000
753101214314140
oct7535716110600
91773765137100
10527999472000
11193a17a34200
12863b5b56000
133aa36c123a0
141b7abab6920
15db03ce3000
hex7aef389180

527999472000 has 3840 divisors, whose sum is σ = 2724604122240. Its totient is φ = 98537472000.

The previous prime is 527999471983. The next prime is 527999472083. The reversal of 527999472000 is 274999725.

527999472000 is a `hidden beast` number, since 527 + 9 + 9 + 94 + 7 + 20 + 0 + 0 = 666.

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

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 14270255982 + ... + 14270256018.

Almost surely, 2527999472000 is an apocalyptic number.

527999472000 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 527999472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1362302061120).

527999472000 is an abundant number, since it is smaller than the sum of its proper divisors (2196604650240).

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

527999472000 is a wasteful number, since it uses less digits than its factorization.

527999472000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

It can be divided in two parts, 527999 and 472000, that added together give a palindrome (999999).

The spelling of 527999472000 in words is "five hundred twenty-seven billion, nine hundred ninety-nine million, four hundred seventy-two thousand".