Search a number
-
+
556804075776 = 283131729113123
BaseRepresentation
bin10000001101001000001…
…10111111000100000000
31222020012122002202010220
420012210012333010000
533110313320411101
61103443043423040
755141060360614
oct10064406770400
91866178082126
10556804075776
111a5159426373
128bab4684a80
1340677735630
141cd4146d344
15e73c9e0636
hex81a41bf100

556804075776 has 288 divisors, whose sum is σ = 1748064447360. Its totient is φ = 155684831232.

The previous prime is 556804075727. The next prime is 556804075813. The reversal of 556804075776 is 677570408655.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4865551 + ... + 4978673.

It is an arithmetic number, because the mean of its divisors is an integer number (6069668220).

Almost surely, 2556804075776 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 556804075776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (874032223680).

556804075776 is an abundant number, since it is smaller than the sum of its proper divisors (1191260371584).

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

556804075776 is a wasteful number, since it uses less digits than its factorization.

556804075776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113201 (or 113187 counting only the distinct ones).

The product of its (nonzero) digits is 49392000, while the sum is 60.

The spelling of 556804075776 in words is "five hundred fifty-six billion, eight hundred four million, seventy-five thousand, seven hundred seventy-six".