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126165423840 = 25351723747523
BaseRepresentation
bin111010110000000001…
…0111001011011100000
3110001122200111121000120
41311200002321123200
54031341322030330
6133543134520240
712054332260011
oct1654002713340
9401580447016
10126165423840
1149563102325
1220550666080
13bb88622561
14616c0d7008
1534363b7c10
hex1d600b96e0

126165423840 has 576 divisors, whose sum is σ = 443655926784. Its totient is φ = 30096064512.

The previous prime is 126165423743. The next prime is 126165423847. The reversal of 126165423840 is 48324561621.

It is a junction number, because it is equal to n+sod(n) for n = 126165423792 and 126165423801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126165423847) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 241233819 + ... + 241234341.

It is an arithmetic number, because the mean of its divisors is an integer number (770235984).

Almost surely, 2126165423840 is an apocalyptic number.

126165423840 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 126165423840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221827963392).

126165423840 is an abundant number, since it is smaller than the sum of its proper divisors (317490502944).

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

126165423840 is a wasteful number, since it uses less digits than its factorization.

126165423840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 659 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The spelling of 126165423840 in words is "one hundred twenty-six billion, one hundred sixty-five million, four hundred twenty-three thousand, eight hundred forty".