Search a number
-
+
422564091840 = 2631051119107
BaseRepresentation
bin1100010011000101100…
…10000101011111000000
31111101201012220000000000
412021202302011133000
523410402401414330
6522042343000000
742346350342222
oct6114262053700
91441635800000
10422564091840
11153232460590
1269a8ba39000
1330b032c5987
1416648c20412
15aed2800560
hex6262c857c0

422564091840 has 1232 divisors, whose sum is σ = 1749408865920. Its totient is φ = 96141219840.

The previous prime is 422564091827. The next prime is 422564091841. The reversal of 422564091840 is 48190465224.

It is a happy number.

422564091840 is a `hidden beast` number, since 4 + 2 + 2 + 564 + 0 + 9 + 1 + 84 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422564091841) by changing a digit.

It is a polite number, since it can be written in 175 ways as a sum of consecutive naturals, for example, 3949197067 + ... + 3949197173.

Almost surely, 2422564091840 is an apocalyptic number.

422564091840 is a gapful number since it is divisible by the number (40) 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 422564091840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (874704432960).

422564091840 is an abundant number, since it is smaller than the sum of its proper divisors (1326844774080).

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

422564091840 is a wasteful number, since it uses less digits than its factorization.

422564091840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 422564091840 in words is "four hundred twenty-two billion, five hundred sixty-four million, ninety-one thousand, eight hundred forty".