Search a number
-
+
126137438790 = 235112291669147
BaseRepresentation
bin111010101111001100…
…0001001001001000110
3110001120201211210202020
41311132120021021012
54031312141020130
6133540255024010
712053542352646
oct1653630111106
9401521753666
10126137438790
1149549328790
122054320b006
13bb828a475c
1461684d0526
153433bdae10
hex1d5e609246

126137438790 has 64 divisors (see below), whose sum is σ = 331693090560. Its totient is φ = 30445223040.

The previous prime is 126137438783. The next prime is 126137438803. The reversal of 126137438790 is 97834731621.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 759004 + ... + 910143.

It is an arithmetic number, because the mean of its divisors is an integer number (5182704540).

Almost surely, 2126137438790 is an apocalyptic number.

126137438790 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

126137438790 is an abundant number, since it is smaller than the sum of its proper divisors (205555651770).

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

126137438790 is a wasteful number, since it uses less digits than its factorization.

126137438790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1669397.

The product of its (nonzero) digits is 1524096, while the sum is 51.

The spelling of 126137438790 in words is "one hundred twenty-six billion, one hundred thirty-seven million, four hundred thirty-eight thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 229 330 458 687 1145 1374 2290 2519 3435 5038 6870 7557 12595 15114 25190 37785 75570 1669147 3338294 5007441 8345735 10014882 16691470 18360617 25037205 36721234 50074410 55081851 91803085 110163702 183606170 275409255 382234663 550818510 764469326 1146703989 1911173315 2293407978 3822346630 4204581293 5733519945 8409162586 11467039890 12613743879 21022906465 25227487758 42045812930 63068719395 126137438790