Search a number
-
+
126345603776 = 267377622201
BaseRepresentation
bin111010110101011001…
…0001110101011000000
3110002010020112200102112
41311222302032223000
54032223433310101
6134013052434452
712061650624650
oct1655262165300
9402106480375
10126345603776
1149645888167
12205a0a78a28
13bbb6a5a2c2
146187dda360
1534471096bb
hex1d6ac8eac0

126345603776 has 56 divisors (see below), whose sum is σ = 294277974816. Its totient is φ = 52684646400.

The previous prime is 126345603743. The next prime is 126345603779. The reversal of 126345603776 is 677306543621.

It is a tau number, because it is divible by the number of its divisors (56).

It is not an unprimeable number, because it can be changed into a prime (126345603779) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3794525 + ... + 3827676.

It is an arithmetic number, because the mean of its divisors is an integer number (5254963836).

Almost surely, 2126345603776 is an apocalyptic number.

126345603776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

126345603776 is an abundant number, since it is smaller than the sum of its proper divisors (167932371040).

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

126345603776 is an equidigital number, since it uses as much as digits as its factorization.

126345603776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7622257 (or 7622247 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 50.

The spelling of 126345603776 in words is "one hundred twenty-six billion, three hundred forty-five million, six hundred three thousand, seven hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 32 37 56 64 74 112 148 224 259 296 448 518 592 1036 1184 2072 2368 4144 8288 16576 7622201 15244402 30488804 53355407 60977608 106710814 121955216 213421628 243910432 282021437 426843256 487820864 564042874 853686512 1128085748 1707373024 1974150059 2256171496 3414746048 3948300118 4512342992 7896600236 9024685984 15793200472 18049371968 31586400944 63172801888 126345603776