Search a number
-
+
126315790740 = 22335792960989
BaseRepresentation
bin111010110100100000…
…0100000000110010100
3110002001011110000122000
41311221000200012110
54032143320300430
6134010105435300
712061136335326
oct1655100400624
9402034400560
10126315790740
114962aa75197
1220592a9bb30
13bbb081c459
146184079616
1534446bae60
hex1d69020194

126315790740 has 96 divisors (see below), whose sum is σ = 397957056000. Its totient is φ = 33257817216.

The previous prime is 126315790717. The next prime is 126315790781. The reversal of 126315790740 is 47097513621.

126315790740 is a `hidden beast` number, since 1 + 2 + 6 + 3 + 1 + 579 + 0 + 74 + 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1437835 + ... + 1523154.

It is an arithmetic number, because the mean of its divisors is an integer number (4145386000).

Almost surely, 2126315790740 is an apocalyptic number.

126315790740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126315790740 is an abundant number, since it is smaller than the sum of its proper divisors (271641265260).

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

126315790740 is a wasteful number, since it uses less digits than its factorization.

126315790740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2961086 (or 2961078 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 126315790740 in words is "one hundred twenty-six billion, three hundred fifteen million, seven hundred ninety thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 79 90 108 135 158 180 237 270 316 395 474 540 711 790 948 1185 1422 1580 2133 2370 2844 3555 4266 4740 7110 8532 10665 14220 21330 42660 2960989 5921978 8882967 11843956 14804945 17765934 26648901 29609890 35531868 44414835 53297802 59219780 79946703 88829670 106595604 133244505 159893406 177659340 233918131 266489010 319786812 399733515 467836262 532978020 701754393 799467030 935672524 1169590655 1403508786 1598934060 2105263179 2339181310 2807017572 3508771965 4210526358 4678362620 6315789537 7017543930 8421052716 10526315895 12631579074 14035087860 21052631790 25263158148 31578947685 42105263580 63157895370 126315790740