Search a number
-
+
42452490126780 = 22355193183197907
BaseRepresentation
bin10011010011100001111011…
…00110000000010110111100
312120022102022000202221200000
421221300331212000112330
521031020144433024110
6230142223231034300
711641043165133306
oct1151607546002674
9176272260687600
1042452490126780
1112587aaaa40418
1249176b106b990
131a8c339090386
14a6a9d645c976
154d94478b31c0
hex269c3d9805bc

42452490126780 has 1152 divisors, whose sum is σ = 147761391697920. Its totient is φ = 10190532602880.

The previous prime is 42452490126779. The next prime is 42452490126797. The reversal of 42452490126780 is 8762109425424.

42452490126780 is a `hidden beast` number, since 4 + 2 + 4 + 5 + 2 + 490 + 12 + 67 + 80 = 666.

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 polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 46805391087 + ... + 46805391993.

It is an arithmetic number, because the mean of its divisors is an integer number (128265096960).

Almost surely, 242452490126780 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 42452490126780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73880695848960).

42452490126780 is an abundant number, since it is smaller than the sum of its proper divisors (105308901571140).

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

42452490126780 is a wasteful number, since it uses less digits than its factorization.

42452490126780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1261 (or 1247 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 42452490126780 in words is "forty-two trillion, four hundred fifty-two billion, four hundred ninety million, one hundred twenty-six thousand, seven hundred eighty".