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896085977976 = 233272326435227
BaseRepresentation
bin11010000101000101110…
…00101110101101111000
310011122221202212011101200
431002202320232231320
5104140141002243401
61523353424214200
7121511563065420
oct15024270565570
93148852764350
10896085977976
113160341a0152
1212580146a360
136666790ba47
1431529653480
1518498adb686
hexd0a2e2eb78

896085977976 has 288 divisors, whose sum is σ = 2904498629760. Its totient is φ = 244465423488.

The previous prime is 896085977893. The next prime is 896085977989. The reversal of 896085977976 is 679779580698.

896085977976 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 896085977895 and 896085977904.

It is a congruent number.

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, 171431475 + ... + 171436701.

Almost surely, 2896085977976 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 896085977976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1452249314880).

896085977976 is an abundant number, since it is smaller than the sum of its proper divisors (2008412651784).

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

896085977976 is a wasteful number, since it uses less digits than its factorization.

896085977976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5935 (or 5905 counting only the distinct ones).

The product of its (nonzero) digits is 2880541440, while the sum is 81.

The spelling of 896085977976 in words is "eight hundred ninety-six billion, eighty-five million, nine hundred seventy-seven thousand, nine hundred seventy-six".