Search a number
-
+
422581003768 = 237111719921019
BaseRepresentation
bin1100010011000111100…
…10100110010111111000
31111101202101201012210201
412021203302212113320
523410421214110033
6522044145251544
742346644160150
oct6114362462770
91441671635721
10422581003768
11153240a61790
1269a95633bb4
1330b06967631
141664b183760
15aed404147d
hex6263ca65f8

422581003768 has 192 divisors, whose sum is σ = 1052274758400. Its totient is φ = 154027146240.

The previous prime is 422581003763. The next prime is 422581003771. The reversal of 422581003768 is 867300185224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422581003763) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 414701163 + ... + 414702181.

It is an arithmetic number, because the mean of its divisors is an integer number (5480597700).

Almost surely, 2422581003768 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 422581003768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526137379200).

422581003768 is an abundant number, since it is smaller than the sum of its proper divisors (629693754632).

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

422581003768 is a wasteful number, since it uses less digits than its factorization.

422581003768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1458 (or 1255 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 46.

The spelling of 422581003768 in words is "four hundred twenty-two billion, five hundred eighty-one million, three thousand, seven hundred sixty-eight".