Search a number
-
+
52744503635712 = 283473121093469
BaseRepresentation
bin10111111111000100010010…
…11001110010111100000000
320220202022210010221110010000
423333202021121302330000
523403131220412320322
6304102253535040000
714052443653415610
oct1377421131627400
9226668703843100
1052744503635712
111589590028a799
125aba2a3670000
132357a29554125
14d04bc1b40a40
15617013c873ac
hex2ff889672f00

52744503635712 has 1080 divisors, whose sum is σ = 187485491608800. Its totient is φ = 14445772554240.

The previous prime is 52744503635701. The next prime is 52744503635723. The reversal of 52744503635712 is 21753630544725.

52744503635712 is a `hidden beast` number, since 5 + 2 + 7 + 4 + 4 + 5 + 0 + 3 + 63 + 571 + 2 = 666.

52744503635712 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (52744503635701) and next prime (52744503635723).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 15204525114 + ... + 15204528582.

Almost surely, 252744503635712 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 52744503635712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93742745804400).

52744503635712 is an abundant number, since it is smaller than the sum of its proper divisors (134740987973088).

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

52744503635712 is a wasteful number, since it uses less digits than its factorization.

52744503635712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3675 (or 3621 counting only the distinct ones).

The product of its (nonzero) digits is 21168000, while the sum is 54.

The spelling of 52744503635712 in words is "fifty-two trillion, seven hundred forty-four billion, five hundred three million, six hundred thirty-five thousand, seven hundred twelve".