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5155023428640 = 2532519460340933
BaseRepresentation
bin100101100000011111101…
…0101110001110000100000
3200020211000110001020220100
41023000333111301300200
51133424441444204030
614544103550342400
71041303200110011
oct113007725616040
920224013036810
105155023428640
111708262374a28
126b30b2abaa00
132b51692b61b7
1413b70c377008
158e162334360
hex4b03f571c20

5155023428640 has 288 divisors, whose sum is σ = 18521862166080. Its totient is φ = 1302006970368.

The previous prime is 5155023428587. The next prime is 5155023428657. The reversal of 5155023428640 is 468243205515.

5155023428640 is a `hidden beast` number, since 5 + 1 + 550 + 2 + 34 + 2 + 8 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 125917614 + ... + 125958546.

It is an arithmetic number, because the mean of its divisors is an integer number (64312021410).

Almost surely, 25155023428640 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 5155023428640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9260931083040).

5155023428640 is an abundant number, since it is smaller than the sum of its proper divisors (13366838737440).

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

5155023428640 is a wasteful number, since it uses less digits than its factorization.

5155023428640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45576 (or 45565 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

The spelling of 5155023428640 in words is "five trillion, one hundred fifty-five billion, twenty-three million, four hundred twenty-eight thousand, six hundred forty".