Search a number
-
+
126031785327 = 3471728772
BaseRepresentation
bin111010101100000010…
…1000110110101101111
3110001022101001001110000
41311120011012311233
54031103114112302
6133522002315343
712051120333240
oct1653005066557
9401271031400
10126031785327
11494a4725778
1220513958b53
13bb66a31906
14615846acc7
1534297bb31c
hex1d58146d6f

126031785327 has 90 divisors (see below), whose sum is σ = 228827600232. Its totient is φ = 67704512256.

The previous prime is 126031785323. The next prime is 126031785377. The reversal of 126031785327 is 723587130621.

126031785327 is a `hidden beast` number, since 1 + 2 + 6 + 0 + 317 + 8 + 5 + 327 = 666.

It is not a de Polignac number, because 126031785327 - 22 = 126031785323 is a prime.

It is a super-2 number, since 2×1260317853272 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126031785323) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 143707413 + ... + 143708289.

Almost surely, 2126031785327 is an apocalyptic number.

126031785327 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

126031785327 is a deficient number, since it is larger than the sum of its proper divisors (102795814905).

126031785327 is an frugal number, since it uses more digits than its factorization.

126031785327 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1807 (or 904 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 126031785327 in words is "one hundred twenty-six billion, thirty-one million, seven hundred eighty-five thousand, three hundred twenty-seven".

Divisors: 1 3 7 9 17 21 27 51 63 81 119 153 189 289 357 459 567 867 877 1071 1377 2023 2601 2631 3213 6069 6139 7803 7893 9639 14909 18207 18417 23409 23679 44727 54621 55251 71037 104363 134181 163863 165753 253453 313089 402543 497259 760359 769129 939267 1207629 1774171 2281077 2307387 2817801 5322513 5383903 6843231 6922161 8453403 13075193 15967539 16151709 20529693 20766483 39225579 47902617 48455127 62299449 91526351 117676737 143707851 145365381 222278281 274579053 353030211 436096143 666834843 823737159 1059090633 1555947967 2000504529 2471211477 4667843901 6001513587 7413634431 14003531703 18004540761 42010595109 126031785327