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896683087872 = 2113311213361
BaseRepresentation
bin11010000110001100111…
…10100001100000000000
310011201111101102111012000
431003012132201200000
5104142401332302442
61523532554304000
7121532433326535
oct15030636414000
93151441374160
10896683087872
11316310254700
12125949428000
1366731535000
1431584a86d8c
15184d1237d4c
hexd0c67a1800

896683087872 has 1152 divisors, whose sum is σ = 3214653624000. Its totient is φ = 246708633600.

The previous prime is 896683087793. The next prime is 896683087873. The reversal of 896683087872 is 278780386698.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a self number, because there is not a number n which added to its sum of digits gives 896683087872.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (896683087873) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14699722722 + ... + 14699722782.

Almost surely, 2896683087872 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 896683087872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1607326812000).

896683087872 is an abundant number, since it is smaller than the sum of its proper divisors (2317970536128).

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

896683087872 is a wasteful number, since it uses less digits than its factorization.

896683087872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 390168576, while the sum is 72.

The spelling of 896683087872 in words is "eight hundred ninety-six billion, six hundred eighty-three million, eighty-seven thousand, eight hundred seventy-two".