Search a number
-
+
5475423925440 = 2634571731173331
BaseRepresentation
bin100111110101101100010…
…1100101011010011000000
3201101110000201002220020000
41033223120230223103000
51204202132011103230
615351213001120000
71103405052310410
oct117533054532300
921343021086200
105475423925440
111821129075437
12745210489000
1330943a776191
1414d024a54640
15976659beb60
hex4fad8b2b4c0

5475423925440 has 2240 divisors, whose sum is σ = 24543706226688. Its totient is φ = 1129896345600.

The previous prime is 5475423925421. The next prime is 5475423925463. The reversal of 5475423925440 is 445293245745.

5475423925440 is a `hidden beast` number, since 5 + 4 + 7 + 5 + 4 + 2 + 3 + 92 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 16542066075 + ... + 16542066405.

Almost surely, 25475423925440 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 5475423925440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12271853113344).

5475423925440 is an abundant number, since it is smaller than the sum of its proper divisors (19068282301248).

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

5475423925440 is a wasteful number, since it uses less digits than its factorization.

5475423925440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 24192000, while the sum is 54.

The spelling of 5475423925440 in words is "five trillion, four hundred seventy-five billion, four hundred twenty-three million, nine hundred twenty-five thousand, four hundred forty".