Search a number
-
+
642426465450 = 23527111033071759
BaseRepresentation
bin10010101100100111001…
…10011110110010101010
32021102012210201210211110
421112103212132302222
541011142133343300
61211043204411150
764261632600060
oct11262346366252
92242183653743
10642426465450
112284a6a9aa90
12a460b3a6ab6
1348771633933
1423144c00030
1511a9e8a7550
hex959399ecaa

642426465450 has 384 divisors, whose sum is σ = 2013311139840. Its totient is φ = 131689670400.

The previous prime is 642426465413. The next prime is 642426465481. The reversal of 642426465450 is 54564624246.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 642426465450.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 365221671 + ... + 365223429.

It is an arithmetic number, because the mean of its divisors is an integer number (5242997760).

Almost surely, 2642426465450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 642426465450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1006655569920).

642426465450 is an abundant number, since it is smaller than the sum of its proper divisors (1370884674390).

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

642426465450 is a wasteful number, since it uses less digits than its factorization.

642426465450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2202 (or 2197 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 48.

The spelling of 642426465450 in words is "six hundred forty-two billion, four hundred twenty-six million, four hundred sixty-five thousand, four hundred fifty".