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1318136976 = 2436138693
BaseRepresentation
bin100111010010001…
…0010110010010000
310101212022022000000
41032210102302100
510144420340401
6334444130000
744443656642
oct11644226220
93355268000
101318136976
11617065902
12309536900
13180118410
14c70c2892
157aac4186
hex4e912c90

1318136976 has 140 divisors (see below), whose sum is σ = 4124103228. Its totient is φ = 405533952.

The previous prime is 1318136917. The next prime is 1318136987. The reversal of 1318136976 is 6796318131.

It can be written as a sum of positive squares in 2 ways, for example, as 123743376 + 1194393600 = 11124^2 + 34560^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 147286 + ... + 155978.

Almost surely, 21318136976 is an apocalyptic number.

1318136976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1318136976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2062051614).

1318136976 is an abundant number, since it is smaller than the sum of its proper divisors (2805966252).

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

1318136976 is an equidigital number, since it uses as much as digits as its factorization.

1318136976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8732 (or 8711 counting only the distinct ones).

The product of its digits is 163296, while the sum is 45.

The square root of 1318136976 is about 36306.1561721976. The cubic root of 1318136976 is about 1096.4449904191. Note that the first 3 decimals are identical.

The spelling of 1318136976 in words is "one billion, three hundred eighteen million, one hundred thirty-six thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 81 104 108 117 144 156 162 208 216 234 243 312 324 351 432 468 486 624 648 702 729 936 972 1053 1296 1404 1458 1872 1944 2106 2808 2916 3159 3888 4212 5616 5832 6318 8424 8693 9477 11664 12636 16848 17386 18954 25272 26079 34772 37908 50544 52158 69544 75816 78237 104316 113009 139088 151632 156474 208632 226018 234711 312948 339027 417264 452036 469422 625896 678054 704133 904072 938844 1017081 1251792 1356108 1408266 1808144 1877688 2034162 2112399 2712216 2816532 3051243 3755376 4068324 4224798 5424432 5633064 6102486 6337197 8136648 8449596 9153729 11266128 12204972 12674394 16273296 16899192 18307458 24409944 25348788 27461187 33798384 36614916 48819888 50697576 54922374 73229832 82383561 101395152 109844748 146459664 164767122 219689496 329534244 439378992 659068488 1318136976