Search a number
-
+
550016531064 = 23347111317311609
BaseRepresentation
bin10000000000011111000…
…10100011101001111000
31221120200121010202020000
420000033202203221320
533002413212443224
61100401335033000
754510631242540
oct10001742435170
91846617122200
10550016531064
111a2295aa1590
128a71b50b760
133cb35457ca0
141c899c18320
15e491b910c9
hex800f8a3a78

550016531064 has 1280 divisors, whose sum is σ = 2262164889600. Its totient is φ = 120036556800.

The previous prime is 550016531059. The next prime is 550016531069. The reversal of 550016531064 is 460135610055.

550016531064 is a `hidden beast` number, since 5 + 50 + 0 + 16 + 531 + 0 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (550016531059) and next prime (550016531069).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (550016531069) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 341836692 + ... + 341838300.

It is an arithmetic number, because the mean of its divisors is an integer number (1767316320).

Almost surely, 2550016531064 is an apocalyptic number.

550016531064 is a gapful number since it is divisible by the number (54) 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 550016531064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1131082444800).

550016531064 is an abundant number, since it is smaller than the sum of its proper divisors (1712148358536).

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

550016531064 is a wasteful number, since it uses less digits than its factorization.

550016531064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1706 (or 1693 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 550016531064 in words is "five hundred fifty billion, sixteen million, five hundred thirty-one thousand, sixty-four".