Search a number
-
+
126926752464 = 2434839116731
BaseRepresentation
bin111011000110101101…
…1001000101011010000
3110010121202002002120000
41312031123020223100
54034421222034324
6134150452450000
712112235411001
oct1661533105320
9403552062500
10126926752464
114991392a836
1220723619900
13bc7a285575
1462012771a8
15347d1519c9
hex1d8d6c8ad0

126926752464 has 100 divisors (see below), whose sum is σ = 367803854880. Its totient is φ = 42258127680.

The previous prime is 126926752411. The next prime is 126926752493. The reversal of 126926752464 is 464257629621.

126926752464 is a `hidden beast` number, since 1 + 26 + 92 + 6 + 7 + 524 + 6 + 4 = 666.

It is a super-2 number, since 2×1269267524642 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 126926752464.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1028979 + ... + 1145709.

Almost surely, 2126926752464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126926752464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183901927440).

126926752464 is an abundant number, since it is smaller than the sum of its proper divisors (240877102416).

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

126926752464 is a wasteful number, since it uses less digits than its factorization.

126926752464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117590 (or 117575 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The spelling of 126926752464 in words is "one hundred twenty-six billion, nine hundred twenty-six million, seven hundred fifty-two thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 839 1296 1678 2517 3356 5034 6712 7551 10068 13424 15102 20136 22653 30204 40272 45306 60408 67959 90612 116731 120816 135918 181224 233462 271836 350193 362448 466924 543672 700386 933848 1050579 1087344 1400772 1867696 2101158 2801544 3151737 4202316 5603088 6303474 8404632 9455211 12606948 16809264 18910422 25213896 37820844 50427792 75641688 97937309 151283376 195874618 293811927 391749236 587623854 783498472 881435781 1175247708 1566996944 1762871562 2350495416 2644307343 3525743124 4700990832 5288614686 7051486248 7932922029 10577229372 14102972496 15865844058 21154458744 31731688116 42308917488 63463376232 126926752464