Search a number
-
+
1672657304136 = 2337134491705721
BaseRepresentation
bin11000010101110010001…
…001001111101001001000
312220220102100210221211120
4120111302021033221020
5204401100232213021
63320224054555240
7231563002333050
oct30256211175110
95826370727746
101672657304136
11595408495485
12230209668b20
13c1966a584b0
145ad581c0560
152d79a1442c6
hex1857224fa48

1672657304136 has 128 divisors (see below), whose sum is σ = 5158103328000. Its totient is φ = 440157634560.

The previous prime is 1672657304119. The next prime is 1672657304147. The reversal of 1672657304136 is 6314037562761.

It is a super-2 number, since 2×16726573041362 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 127756 + ... + 1833476.

It is an arithmetic number, because the mean of its divisors is an integer number (40297682250).

Almost surely, 21672657304136 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 1672657304136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2579051664000).

1672657304136 is an abundant number, since it is smaller than the sum of its proper divisors (3485446023864).

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

1672657304136 is a wasteful number, since it uses less digits than its factorization.

1672657304136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1706199 (or 1706195 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 51.

The spelling of 1672657304136 in words is "one trillion, six hundred seventy-two billion, six hundred fifty-seven million, three hundred four thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 182 273 312 364 449 546 728 898 1092 1347 1796 2184 2694 3143 3592 5388 5837 6286 9429 10776 11674 12572 17511 18858 23348 25144 35022 37716 40859 46696 70044 75432 81718 122577 140088 163436 245154 326872 490308 980616 1705721 3411442 5117163 6822884 10234326 11940047 13645768 20468652 22174373 23880094 35820141 40937304 44348746 47760188 66523119 71640282 88697492 95520376 133046238 143280564 155220611 177394984 266092476 286561128 310441222 465661833 532184952 620882444 765868729 931323666 1241764888 1531737458 1862647332 2297606187 3063474916 3725294664 4595212374 5361081103 6126949832 9190424748 9956293477 10722162206 16083243309 18380849496 19912586954 21444324412 29868880431 32166486618 39825173908 42888648824 59737760862 64332973236 69694054339 79650347816 119475521724 128665946472 139388108678 209082163017 238951043448 278776217356 418164326034 557552434712 836328652068 1672657304136