Search a number
-
+
127642626384 = 243713231270531
BaseRepresentation
bin111011011100000010…
…1111110100101010000
3110012110122010020221220
41312320011332211100
54042403003021014
6134345504245040
712136050264660
oct1667005764520
9405418106856
10127642626384
114a150a31479
12208a3310780
13c062691cc0
14626c3841a0
1534c0e0c6a9
hex1db817e950

127642626384 has 160 divisors (see below), whose sum is σ = 423483561984. Its totient is φ = 32200312320.

The previous prime is 127642626383. The next prime is 127642626401. The reversal of 127642626384 is 483626246721.

127642626384 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127642626383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 534802 + ... + 735729.

Almost surely, 2127642626384 is an apocalyptic number.

127642626384 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

127642626384 is an abundant number, since it is smaller than the sum of its proper divisors (295840935600).

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

127642626384 is a wasteful number, since it uses less digits than its factorization.

127642626384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1270585 (or 1270579 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 51.

The spelling of 127642626384 in words is "one hundred twenty-seven billion, six hundred forty-two million, six hundred twenty-six thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 23 24 26 28 39 42 46 48 52 56 69 78 84 91 92 104 112 138 156 161 168 182 184 208 273 276 299 312 322 336 364 368 483 546 552 598 624 644 728 897 966 1092 1104 1196 1288 1456 1794 1932 2093 2184 2392 2576 3588 3864 4186 4368 4784 6279 7176 7728 8372 12558 14352 16744 25116 33488 50232 100464 1270531 2541062 3811593 5082124 7623186 8893717 10164248 15246372 16516903 17787434 20328496 26681151 29222213 30492744 33033806 35574868 49550709 53362302 58444426 60985488 66067612 71149736 87666639 99101418 106724604 115618321 116888852 132135224 142299472 175333278 198202836 204555491 213449208 231236642 233777704 264270448 346854963 350666556 379888769 396405672 409110982 426898416 462473284 467555408 613666473 693709926 701333112 759777538 792811344 818221964 924946568 1139666307 1227332946 1387419852 1402666224 1519555076 1636443928 1849893136 2279332614 2454665892 2659221383 2774839704 3039110152 3272887856 4558665228 4909331784 5318442766 5549679408 6078220304 7977664149 9117330456 9818663568 10636885532 15955328298 18234660912 21273771064 31910656596 42547542128 63821313192 127642626384