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5085047524032 = 2632723213118199
BaseRepresentation
bin100100111111111010001…
…1100111000101011000000
3200000010101201000222200200
41021333310130320223000
51131303134131232112
614452012200045200
71033245134534220
oct111776434705300
920003351028620
105085047524032
111690613840103
126a1624163800
132ab696b57098
14138190a34080
158c418dd2cdc
hex49ff4738ac0

5085047524032 has 504 divisors, whose sum is σ = 17547187257600. Its totient is φ = 1379018234880.

The previous prime is 5085047524019. The next prime is 5085047524093. The reversal of 5085047524032 is 2304257405805.

5085047524032 is a `hidden beast` number, since 5 + 0 + 8 + 50 + 47 + 524 + 0 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 279404469 + ... + 279422667.

Almost surely, 25085047524032 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 5085047524032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8773593628800).

5085047524032 is an abundant number, since it is smaller than the sum of its proper divisors (12462139733568).

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

5085047524032 is a wasteful number, since it uses less digits than its factorization.

5085047524032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18401 (or 18365 counting only the distinct ones).

The product of its (nonzero) digits is 1344000, while the sum is 45.

The spelling of 5085047524032 in words is "five trillion, eighty-five billion, forty-seven million, five hundred twenty-four thousand, thirty-two".