Search a number
-
+
42209353152 = 2633431075309
BaseRepresentation
bin100111010011110111…
…111001110111000000
311000221122100022021000
4213103313321313000
51142421043300102
631220220532000
73022662403431
oct472367716700
9130848308230
1042209353152
11169a009683a
12821b9b1000
133c98a0a215
142085ba1488
15117095001c
hex9d3df9dc0

42209353152 has 224 divisors, whose sum is σ = 128184249600. Its totient is φ = 13611580416.

The previous prime is 42209353133. The next prime is 42209353169. The reversal of 42209353152 is 25135390224.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7947874 + ... + 7953182.

Almost surely, 242209353152 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 42209353152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64092124800).

42209353152 is an abundant number, since it is smaller than the sum of its proper divisors (85974896448).

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

42209353152 is a wasteful number, since it uses less digits than its factorization.

42209353152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5480 (or 5464 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 42209353152 in words is "forty-two billion, two hundred nine million, three hundred fifty-three thousand, one hundred fifty-two".