Search a number
-
+
554447013120 = 283357112133147
BaseRepresentation
bin10000001000101111001…
…11100000010100000000
31222000010100212120001000
420010113213200110000
533041001413404440
61102413123412000
755025466565050
oct10042747402400
91860110776030
10554447013120
111a4159980300
128b557224000
13403903014c0
141cb9a3c9560
15e650aeb730
hex81179e0500

554447013120 has 3456 divisors, whose sum is σ = 2806034595840. Its totient is φ = 100727193600.

The previous prime is 554447013119. The next prime is 554447013137. The reversal of 554447013120 is 21310744455.

554447013120 is a `hidden beast` number, since 5 + 54 + 4 + 470 + 13 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a super-2 number, since 2×5544470131202 (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

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 383 ways as a sum of consecutive naturals, for example, 11796744937 + ... + 11796744983.

Almost surely, 2554447013120 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 554447013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1403017297920).

554447013120 is an abundant number, since it is smaller than the sum of its proper divisors (2251587582720).

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

554447013120 is a wasteful number, since it uses less digits than its factorization.

554447013120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

Adding to 554447013120 its reverse (21310744455), we get a palindrome (575757757575).

The spelling of 554447013120 in words is "five hundred fifty-four billion, four hundred forty-seven million, thirteen thousand, one hundred twenty".