Search a number
-
+
55004587223040 = 21132571361791361
BaseRepresentation
bin11001000000110110000001…
…11000011110100000000000
321012202101110020221110120200
430200123000320132200000
524202143343312114130
6312552431502005200
714404643643062340
oct1440330070364000
9235671406843520
1055004587223040
1116587350580174
126204310b76800
13248cbaac7c9b0
14d823442c2d20
15655bdee4d760
hex3206c0e1e800

55004587223040 has 2304 divisors, whose sum is σ = 241671432038400. Its totient is φ = 11262335385600.

The previous prime is 55004587223039. The next prime is 55004587223041. The reversal of 55004587223040 is 4032278540055.

55004587223040 is a `hidden beast` number, since 5 + 5 + 0 + 0 + 4 + 587 + 2 + 23 + 0 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (55004587223039) and next prime (55004587223041).

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (55004587223041) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 40414831960 + ... + 40414833320.

It is an arithmetic number, because the mean of its divisors is an integer number (104892114600).

Almost surely, 255004587223040 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 55004587223040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120835716019200).

55004587223040 is an abundant number, since it is smaller than the sum of its proper divisors (186666844815360).

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

55004587223040 is a wasteful number, since it uses less digits than its factorization.

55004587223040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1554 (or 1531 counting only the distinct ones).

The product of its (nonzero) digits is 1344000, while the sum is 45.

The spelling of 55004587223040 in words is "fifty-five trillion, four billion, five hundred eighty-seven million, two hundred twenty-three thousand, forty".