Search a number
-
+
2465544255120 = 2432559149389531
BaseRepresentation
bin100011111000001101111…
…000111011011010010000
322201201000000111100221100
4203320031320323122100
5310343413312130440
65124353322024400
7343062325244622
oct43701570733220
98651000440840
102465544255120
118706a4501171
12339a09948100
1314b666169b0b
148749399cc12
1544203c3b230
hex23e0de3b690

2465544255120 has 240 divisors, whose sum is σ = 8476995384000. Its totient is φ = 641995299840.

The previous prime is 2465544255091. The next prime is 2465544255133. The reversal of 2465544255120 is 215524455642.

2465544255120 is a `hidden beast` number, since 2 + 4 + 6 + 5 + 54 + 42 + 551 + 2 + 0 = 666.

2465544255120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6134755 + ... + 6524285.

It is an arithmetic number, because the mean of its divisors is an integer number (35320814100).

Almost surely, 22465544255120 is an apocalyptic number.

2465544255120 is a gapful number since it is divisible by the number (20) 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 2465544255120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4238497692000).

2465544255120 is an abundant number, since it is smaller than the sum of its proper divisors (6011451128880).

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

2465544255120 is a wasteful number, since it uses less digits than its factorization.

2465544255120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389758 (or 389749 counting only the distinct ones).

The product of its (nonzero) digits is 1920000, while the sum is 45.

The spelling of 2465544255120 in words is "two trillion, four hundred sixty-five billion, five hundred forty-four million, two hundred fifty-five thousand, one hundred twenty".