Search a number
-
+
551779200000 = 2103255721723
BaseRepresentation
bin10000000011110001001…
…10100110110000000000
31221202020102220121102200
420001320212212300000
533020020433400000
61101252303113200
754602413546200
oct10017046466000
91852212817380
10551779200000
111a300aa78876
128ab318a2800
13400566a7262
141c9c5d74400
15e5467c3500
hex80789a6c00

551779200000 has 2376 divisors, whose sum is σ = 2559481745184. Its totient is φ = 113541120000.

The previous prime is 551779199981. The next prime is 551779200031. The reversal of 551779200000 is 2977155.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 23990399989 + ... + 23990400011.

Almost surely, 2551779200000 is an apocalyptic number.

551779200000 is a gapful number since it is divisible by the number (50) 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 551779200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1279740872592).

551779200000 is an abundant number, since it is smaller than the sum of its proper divisors (2007702545184).

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

551779200000 is a wasteful number, since it uses less digits than its factorization.

551779200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 22050, while the sum is 36.

The spelling of 551779200000 in words is "five hundred fifty-one billion, seven hundred seventy-nine million, two hundred thousand".