Search a number
-
+
642310238808 = 2333717377983103
BaseRepresentation
bin10010101100011001010…
…11000111001001011000
32021101220201000212212000
421112030223013021120
541010422410120213
61211023453321000
764256021642640
oct11261453071130
92241821025760
10642310238808
11228447426207
12a4598496160
134875352b384
14231335c7520
1511a94599c73
hex958cac7258

642310238808 has 1024 divisors, whose sum is σ = 2294562816000. Its totient is φ = 162336006144.

The previous prime is 642310238807. The next prime is 642310238827. The reversal of 642310238808 is 808832013246.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642310238807) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 6236021685 + ... + 6236021787.

It is an arithmetic number, because the mean of its divisors is an integer number (2240784000).

Almost surely, 2642310238808 is an apocalyptic number.

642310238808 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 642310238808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1147281408000).

642310238808 is an abundant number, since it is smaller than the sum of its proper divisors (1652252577192).

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

642310238808 is a wasteful number, since it uses less digits than its factorization.

642310238808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 642310238808 in words is "six hundred forty-two billion, three hundred ten million, two hundred thirty-eight thousand, eight hundred eight".