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816487818432 = 263111337803731
BaseRepresentation
bin10111110000110100111…
…01110110010011000000
32220001111102212200212120
423320122131312103000
5101334131340142212
61423031143324240
7112663220642346
oct13703235662300
92801442780776
10816487818432
112952a80a6820
121122a8150680
135bcc0b11160
142b737ddb996
151638aa4688c
hexbe1a7764c0

816487818432 has 224 divisors, whose sum is σ = 2606560744704. Its totient is φ = 222215270400.

The previous prime is 816487818431. The next prime is 816487818437. The reversal of 816487818432 is 234818784618.

816487818432 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (816487818431) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 614007 + ... + 1417737.

It is an arithmetic number, because the mean of its divisors is an integer number (11636431896).

Almost surely, 2816487818432 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 816487818432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1303280372352).

816487818432 is an abundant number, since it is smaller than the sum of its proper divisors (1790072926272).

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

816487818432 is a wasteful number, since it uses less digits than its factorization.

816487818432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 803807 (or 803797 counting only the distinct ones).

The product of its digits is 16515072, while the sum is 60.

The spelling of 816487818432 in words is "eight hundred sixteen billion, four hundred eighty-seven million, eight hundred eighteen thousand, four hundred thirty-two".