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868996217488000 = 27537311791398251
BaseRepresentation
bin1100010110010110001111001…
…0110110101100001010000000
311012221212020010112021001121011
43011211203302312230022000
51402400113223134104000
612320111203502410304
7351016622236640140
oct30545436266541200
94187766115231534
10868996217488000
112319862540a6248
1281569356b90994
132b3b6cb7983494
14114838d9bb2920
156a6e8bc3c72ba
hex31658f2dac280

868996217488000 has 512 divisors, whose sum is σ = 2563083166924800. Its totient is φ = 286719552000000.

The previous prime is 868996217487929. The next prime is 868996217488039. The reversal of 868996217488000 is 884712699868.

It is a junction number, because it is equal to n+sod(n) for n = 868996217487899 and 868996217487908.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 620788875 + ... + 622187125.

It is an arithmetic number, because the mean of its divisors is an integer number (5006021810400).

Almost surely, 2868996217488000 is an apocalyptic number.

868996217488000 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 868996217488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1281541583462400).

868996217488000 is an abundant number, since it is smaller than the sum of its proper divisors (1694086949436800).

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

868996217488000 is a wasteful number, since it uses less digits than its factorization.

868996217488000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1398497 (or 1398475 counting only the distinct ones).

The product of its (nonzero) digits is 668860416, while the sum is 76.

The spelling of 868996217488000 in words is "eight hundred sixty-eight trillion, nine hundred ninety-six billion, two hundred seventeen million, four hundred eighty-eight thousand".