Search a number
-
+
549088533120 = 273519891311291
BaseRepresentation
bin1111111110110000011…
…10100001101010000000
31221111021220221120100210
413333120032201222000
532444013131024440
61100125304514120
754445632344301
oct7773016415200
91844256846323
10549088533120
111a195a186a36
128a50077b940
133ca1810a98a
141c80c8907a8
15e43a483a80
hex7fd83a1a80

549088533120 has 512 divisors, whose sum is σ = 1878712704000. Its totient is φ = 136006041600.

The previous prime is 549088533107. The next prime is 549088533151. The reversal of 549088533120 is 21335880945.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 549088533120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 425319675 + ... + 425320965.

It is an arithmetic number, because the mean of its divisors is an integer number (3669360750).

Almost surely, 2549088533120 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 549088533120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (939356352000).

549088533120 is an abundant number, since it is smaller than the sum of its proper divisors (1329624170880).

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

549088533120 is a wasteful number, since it uses less digits than its factorization.

549088533120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1552 (or 1540 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 48.

The spelling of 549088533120 in words is "five hundred forty-nine billion, eighty-eight million, five hundred thirty-three thousand, one hundred twenty".