Search a number
-
+
669134574706968 = 2333171777102547097
BaseRepresentation
bin1001100000100100110000100…
…0101000011110000100011000
310020202012122022000010221212000
42120021030020220132010120
51200201100102111110333
610331044102512321000
7260641243354301466
oct23011141050360430
93222178260127760
10669134574706968
1118423041a135367
126306a91b243160
132294a172b22206
14bb3440154b836
155255ad4c09713
hex2609308a1e118

669134574706968 has 128 divisors (see below), whose sum is σ = 1969150394635200. Its totient is φ = 209806436155392.

The previous prime is 669134574706921. The next prime is 669134574706987. The reversal of 669134574706968 is 869607475431966.

669134574706968 is a `hidden beast` number, since 6 + 6 + 9 + 1 + 3 + 4 + 57 + 470 + 6 + 96 + 8 = 666.

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, 44748405 + ... + 57798692.

Almost surely, 2669134574706968 is an apocalyptic number.

669134574706968 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

669134574706968 is an abundant number, since it is smaller than the sum of its proper divisors (1300015819928232).

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

669134574706968 is a wasteful number, since it uses less digits than its factorization.

669134574706968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102548906 (or 102548896 counting only the distinct ones).

The product of its (nonzero) digits is 9876142080, while the sum is 81.

The spelling of 669134574706968 in words is "six hundred sixty-nine trillion, one hundred thirty-four billion, five hundred seventy-four million, seven hundred six thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 102 108 136 153 204 216 306 408 459 612 918 1224 1777 1836 3554 3672 5331 7108 10662 14216 15993 21324 30209 31986 42648 47979 60418 63972 90627 95958 120836 127944 181254 191916 241672 271881 362508 383832 543762 725016 815643 1087524 1631286 2175048 3262572 6525144 102547097 205094194 307641291 410188388 615282582 820376776 922923873 1230565164 1743300649 1845847746 2461130328 2768771619 3486601298 3691695492 5229901947 5537543238 6973202596 7383390984 10459803894 11075086476 13946405192 15689705841 20919607788 22150172952 31379411682 41839215576 47069117523 62758823364 94138235046 125517646728 182226191369 188276470092 364452382738 376552940184 546678574107 728904765476 1093357148214 1457809530952 1640035722321 2186714296428 3097845253273 3280071444642 4373428592856 4920107166963 6195690506546 6560142889284 9293535759819 9840214333926 12391381013092 13120285778568 18587071519638 19680428667852 24782762026184 27880607279457 37174143039276 39360857335704 55761214558914 74348286078552 83641821838371 111522429117828 167283643676742 223044858235656 334567287353484 669134574706968