Search a number
-
+
551901063168 = 211327132931123
BaseRepresentation
bin10000000011111111101…
…11011110100000000000
31221202112221012220021100
420001333313132200000
533020243133010133
61101312335054400
754605423430330
oct10017767364000
91852487186240
10551901063168
111a3072842434
128ab66671400
1340075a04240
141c9d82170c0
15e552345e13
hex807fdde800

551901063168 has 576 divisors, whose sum is σ = 1970284417920. Its totient is φ = 144930373632.

The previous prime is 551901063151. The next prime is 551901063173. The reversal of 551901063168 is 861360109155.

551901063168 is a `hidden beast` number, since 5 + 5 + 1 + 9 + 0 + 1 + 0 + 631 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 491451855 + ... + 491452977.

It is an arithmetic number, because the mean of its divisors is an integer number (3420632670).

Almost surely, 2551901063168 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 551901063168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (985142208960).

551901063168 is an abundant number, since it is smaller than the sum of its proper divisors (1418383354752).

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

551901063168 is a wasteful number, since it uses less digits than its factorization.

551901063168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1464 (or 1441 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The spelling of 551901063168 in words is "five hundred fifty-one billion, nine hundred one million, sixty-three thousand, one hundred sixty-eight".