Search a number
-
+
59642219424 = 25329471014513
BaseRepresentation
bin110111100010111101…
…000000101110100000
312200221120100200001210
4313202331000232200
51434121402010144
643222123430120
74210663333434
oct674275005640
9180846320053
1059642219424
1123326529237
12b686085340
1358165ab6c8
142c5b15c9c4
15184112dab9
hexde2f40ba0

59642219424 has 192 divisors, whose sum is σ = 167080112640. Its totient is φ = 18596659200.

The previous prime is 59642219423. The next prime is 59642219443. The reversal of 59642219424 is 42491224695.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (59642219423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13213392 + ... + 13217904.

It is an arithmetic number, because the mean of its divisors is an integer number (870208920).

Almost surely, 259642219424 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 59642219424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83540056320).

59642219424 is an abundant number, since it is smaller than the sum of its proper divisors (107437893216).

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

59642219424 is a wasteful number, since it uses less digits than its factorization.

59642219424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4703 (or 4695 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 48.

The spelling of 59642219424 in words is "fifty-nine billion, six hundred forty-two million, two hundred nineteen thousand, four hundred twenty-four".