Search a number
-
+
12349624680 = 2332537927149
BaseRepresentation
bin10111000000001100…
…00101000101101000
31011212122222221020200
423200012011011220
5200243000442210
65401235152200
7615015035451
oct134006050550
934778887220
1012349624680
11526804a898
122487a45660
13121a718c33
1485222c128
154c42d30c0
hex2e0185168

12349624680 has 96 divisors (see below), whose sum is σ = 41221089000. Its totient is φ = 3204223488.

The previous prime is 12349624649. The next prime is 12349624759. The reversal of 12349624680 is 8642694321.

12349624680 is a `hidden beast` number, since 12 + 3 + 4 + 9 + 624 + 6 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12348987876 + 636804 = 111126^2 + 798^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 450255 + ... + 476894.

Almost surely, 212349624680 is an apocalyptic number.

12349624680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12349624680 is an abundant number, since it is smaller than the sum of its proper divisors (28871464320).

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

12349624680 is a wasteful number, since it uses less digits than its factorization.

12349624680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 927203 (or 927196 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 12349624680 in words is "twelve billion, three hundred forty-nine million, six hundred twenty-four thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 37 40 45 60 72 74 90 111 120 148 180 185 222 296 333 360 370 444 555 666 740 888 1110 1332 1480 1665 2220 2664 3330 4440 6660 13320 927149 1854298 2781447 3708596 4635745 5562894 7417192 8344341 9271490 11125788 13907235 16688682 18542980 22251576 27814470 33377364 34304513 37085960 41721705 55628940 66754728 68609026 83443410 102913539 111257880 137218052 166886820 171522565 205827078 274436104 308740617 333773640 343045130 411654156 514567695 617481234 686090260 823308312 1029135390 1234962468 1372180520 1543703085 2058270780 2469924936 3087406170 4116541560 6174812340 12349624680