Search a number
-
+
54425160162240 = 2635726330794609
BaseRepresentation
bin11000101111111110110000…
…10101101001101111000000
321010200222211222201000011120
430113333120111221233000
524113200212000142430
6311430323505112240
714315042130243030
oct1427773025515700
9233628758630146
1054425160162240
111638364306136a
12612bb64028680
13244a36960c7ba
14d622984658c0
15645acb2c1610
hex317fd8569bc0

54425160162240 has 224 divisors, whose sum is σ = 198236483343360. Its totient is φ = 12392735686656.

The previous prime is 54425160162221. The next prime is 54425160162287. The reversal of 54425160162240 is 4226106152445.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 54425160162192 and 54425160162201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13629945 + ... + 17164664.

It is an arithmetic number, because the mean of its divisors is an integer number (884984300640).

Almost surely, 254425160162240 is an apocalyptic number.

It is an amenable number.

54425160162240 is an abundant number, since it is smaller than the sum of its proper divisors (143811323181120).

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

54425160162240 is a wasteful number, since it uses less digits than its factorization.

54425160162240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30794899 (or 30794889 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 42.

The spelling of 54425160162240 in words is "fifty-four trillion, four hundred twenty-five billion, one hundred sixty million, one hundred sixty-two thousand, two hundred forty".