Search a number
-
+
550402433280 = 28325721923773
BaseRepresentation
bin10000000001001101000…
…10101010000100000000
31221121200111021121112200
420000212202222010000
533004211010331110
61100503522153200
754523325330100
oct10004642520400
91847614247480
10550402433280
111a2473908637
128a8087b2800
133cb973a17ab
141c8d518d200
15e4b59bc6c0
hex80268aa100

550402433280 has 1944 divisors, whose sum is σ = 2434056475032. Its totient is φ = 114375131136.

The previous prime is 550402433239. The next prime is 550402433323. The reversal of 550402433280 is 82334204055.

550402433280 is a `hidden beast` number, since 5 + 50 + 40 + 243 + 328 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 166934347776 + 383468085504 = 408576^2 + 619248^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 7539759324 + ... + 7539759396.

Almost surely, 2550402433280 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 550402433280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1217028237516).

550402433280 is an abundant number, since it is smaller than the sum of its proper divisors (1883654041752).

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

550402433280 is a wasteful number, since it uses less digits than its factorization.

550402433280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 550402433280 in words is "five hundred fifty billion, four hundred two million, four hundred thirty-three thousand, two hundred eighty".