Search a number
-
+
126422607360 = 2935719612029
BaseRepresentation
bin111010110111101011…
…1111110011000000000
3110002022121102212111010
41311233113332120000
54032403141413420
6134024443120520
712063604301130
oct1655727763000
9402277385433
10126422607360
11496852a2095
1220602813140
13bbc99ab85a
146194322ac0
15344dc6a4e0
hex1d6f5fe600

126422607360 has 640 divisors, whose sum is σ = 494418355200. Its totient is φ = 26913669120.

The previous prime is 126422607359. The next prime is 126422607361. The reversal of 126422607360 is 63706224621.

It is an interprime number because it is at equal distance from previous prime (126422607359) and next prime (126422607361).

It is a tau number, because it is divible by the number of its divisors (640).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126422607361) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 62306826 + ... + 62308854.

It is an arithmetic number, because the mean of its divisors is an integer number (772528680).

Almost surely, 2126422607360 is an apocalyptic number.

126422607360 is a gapful number since it is divisible by the number (10) 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 126422607360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247209177600).

126422607360 is an abundant number, since it is smaller than the sum of its proper divisors (367995747840).

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

126422607360 is a wasteful number, since it uses less digits than its factorization.

126422607360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2142 (or 2126 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 39.

The spelling of 126422607360 in words is "one hundred twenty-six billion, four hundred twenty-two million, six hundred seven thousand, three hundred sixty".