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667380334140 = 2232513221938867
BaseRepresentation
bin10011011011000101111…
…01111011111000111100
32100210121212211200101100
421231202331323320330
541413243331143030
61230331300413100
766134210145612
oct11554275737074
92323555750340
10667380334140
11238041888963
12a94143a7190
134ac1a437900
1424430db96b2
15125604b6360
hex9b62f7be3c

667380334140 has 108 divisors (see below), whose sum is σ = 2192087812824. Its totient is φ = 164278228608.

The previous prime is 667380334109. The next prime is 667380334151. The reversal of 667380334140 is 41433083766.

667380334140 is a `hidden beast` number, since 66 + 73 + 80 + 33 + 414 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10939014 + ... + 10999853.

It is an arithmetic number, because the mean of its divisors is an integer number (20297109378).

Almost surely, 2667380334140 is an apocalyptic number.

667380334140 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

667380334140 is an abundant number, since it is smaller than the sum of its proper divisors (1524707478684).

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

667380334140 is a wasteful number, since it uses less digits than its factorization.

667380334140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21938908 (or 21938890 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 667380334140 in words is "six hundred sixty-seven billion, three hundred eighty million, three hundred thirty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 169 180 195 234 260 338 390 468 507 585 676 780 845 1014 1170 1521 1690 2028 2340 2535 3042 3380 5070 6084 7605 10140 15210 30420 21938867 43877734 65816601 87755468 109694335 131633202 197449803 219388670 263266404 285205271 329083005 394899606 438777340 570410542 658166010 789799212 855615813 987249015 1140821084 1316332020 1426026355 1711231626 1974498030 2566847439 2852052710 3422463252 3707668523 3948996060 4278079065 5133694878 5704105420 7415337046 8556158130 10267389756 11123005569 12834237195 14830674092 17112316260 18538342615 22246011138 25668474390 33369016707 37076685230 44492022276 51336948780 55615027845 66738033414 74153370460 111230055690 133476066828 166845083535 222460111380 333690167070 667380334140