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896519056608 = 253373112833727
BaseRepresentation
bin11010000101111001011…
…00110010110011100000
310011201001221202211121000
431002330230302303200
5104142032334302413
61523504414432000
7121525402150350
oct15027454626340
93151057684530
10896519056608
113162366a957a
12125902502600
13667065626a6
143156ad88b60
15184c1b36073
hexd0bcb32ce0

896519056608 has 384 divisors, whose sum is σ = 3088029450240. Its totient is φ = 247625786880.

The previous prime is 896519056571. The next prime is 896519056613. The reversal of 896519056608 is 806650915698.

896519056608 is a `hidden beast` number, since 8 + 9 + 6 + 5 + 19 + 0 + 5 + 6 + 608 = 666.

It is a super-2 number, since 2×8965190566082 (a number of 25 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 63 ways as a sum of consecutive naturals, for example, 240545241 + ... + 240548967.

It is an arithmetic number, because the mean of its divisors is an integer number (8041743360).

Almost surely, 2896519056608 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 896519056608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1544014725120).

896519056608 is an abundant number, since it is smaller than the sum of its proper divisors (2191510393632).

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

896519056608 is a wasteful number, since it uses less digits than its factorization.

896519056608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5067 (or 5053 counting only the distinct ones).

The product of its (nonzero) digits is 27993600, while the sum is 63.

The spelling of 896519056608 in words is "eight hundred ninety-six billion, five hundred nineteen million, fifty-six thousand, six hundred eight".