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896879904480 = 253357217249233
BaseRepresentation
bin11010000110100100011…
…01010100011011100000
310011202000002202210211000
431003102031110123200
5104143302223420410
61524004304552000
7121540343255100
oct15032215243340
93152002683730
10896879904480
1131640136295a
121259a3322600
1366763246341
14315a2c7b200
15184e3663dc0
hexd0d23546e0

896879904480 has 576 divisors, whose sum is σ = 3866396950080. Its totient is φ = 192941457408.

The previous prime is 896879904469. The next prime is 896879904499. The reversal of 896879904480 is 84409978698.

896879904480 is a `hidden beast` number, since 8 + 96 + 8 + 7 + 9 + 90 + 448 + 0 = 666.

It is a super-3 number, since 3×8968799044803 (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 896879904399 and 896879904408.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3473944 + ... + 3723176.

It is an arithmetic number, because the mean of its divisors is an integer number (6712494705).

Almost surely, 2896879904480 is an apocalyptic number.

896879904480 is a gapful number since it is divisible by the number (80) 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 896879904480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1933198475040).

896879904480 is an abundant number, since it is smaller than the sum of its proper divisors (2969517045600).

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

896879904480 is a wasteful number, since it uses less digits than its factorization.

896879904480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249288 (or 249267 counting only the distinct ones).

The product of its (nonzero) digits is 250822656, while the sum is 72.

The spelling of 896879904480 in words is "eight hundred ninety-six billion, eight hundred seventy-nine million, nine hundred four thousand, four hundred eighty".