Search a number
-
+
2543944255632 = 24331319235917569
BaseRepresentation
bin100101000001001110111…
…001001100100010010000
3100000012100211221001021000
4211001032321030202100
5313134444212140012
65224401042102000
7351536211250653
oct45011671144220
910005324831230
102543944255632
118a0976236a1a
1235104994a900
13155b7b969170
148b1b004389a
1546291a0addc
hex2504ee4c890

2543944255632 has 640 divisors, whose sum is σ = 8784437760000. Its totient is φ = 697251151872.

The previous prime is 2543944255621. The next prime is 2543944255667. The reversal of 2543944255632 is 2365524493452.

2543944255632 is a `hidden beast` number, since 2 + 5 + 4 + 39 + 4 + 42 + 5 + 563 + 2 = 666.

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 127 ways as a sum of consecutive naturals, for example, 144788544 + ... + 144806112.

It is an arithmetic number, because the mean of its divisors is an integer number (13725684000).

Almost surely, 22543944255632 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 2543944255632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4392218880000).

2543944255632 is an abundant number, since it is smaller than the sum of its proper divisors (6240493504368).

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

2543944255632 is a wasteful number, since it uses less digits than its factorization.

2543944255632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17700 (or 17688 counting only the distinct ones).

The product of its digits is 31104000, while the sum is 54.

The spelling of 2543944255632 in words is "two trillion, five hundred forty-three billion, nine hundred forty-four million, two hundred fifty-five thousand, six hundred thirty-two".