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136047614418 = 237414716141
BaseRepresentation
bin111111010110100010…
…0011101100111010010
3111000011101120220000000
41332231010131213102
54212111142130133
6142255512310430
712554246433162
oct1765504354722
9430141526000
10136047614418
1152774371381
122244a0a2416
13caa1aa1bc1
1468287505a2
153813c54413
hex1fad11d9d2

136047614418 has 128 divisors (see below), whose sum is σ = 320215956480. Its totient is φ = 43299100800.

The previous prime is 136047614411. The next prime is 136047614441. The reversal of 136047614418 is 814416740631.

136047614418 is a `hidden beast` number, since 1 + 36 + 0 + 476 + 144 + 1 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (136047614411) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8420628 + ... + 8436768.

It is an arithmetic number, because the mean of its divisors is an integer number (2501687160).

Almost surely, 2136047614418 is an apocalyptic number.

136047614418 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 136047614418, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160107978240).

136047614418 is an abundant number, since it is smaller than the sum of its proper divisors (184168342062).

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

136047614418 is an equidigital number, since it uses as much as digits as its factorization.

136047614418 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16252 (or 16234 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 136047614418 in words is "one hundred thirty-six billion, forty-seven million, six hundred fourteen thousand, four hundred eighteen".

Divisors: 1 2 3 6 9 18 27 41 47 54 81 82 94 123 141 162 243 246 282 369 423 486 729 738 846 1107 1269 1458 1927 2187 2214 2538 3321 3807 3854 4374 5781 6642 7614 9963 11421 11562 16141 17343 19926 22842 29889 32282 34263 34686 48423 52029 59778 68526 89667 96846 102789 104058 145269 156087 179334 205578 290538 312174 435807 468261 661781 758627 871614 936522 1307421 1323562 1404783 1517254 1985343 2275881 2614842 2809566 3922263 3970686 4214349 4551762 5956029 6827643 7844526 8428698 11766789 11912058 13655286 17868087 20482929 23533578 31103707 35300367 35736174 40965858 53604261 61448787 62207414 70600734 93311121 107208522 122897574 160812783 184346361 186622242 279933363 321625566 368692722 482438349 553039083 559866726 839800089 964876698 1106078166 1447315047 1659117249 1679600178 2519400267 2894630094 3318234498 5038800534 7558200801 15116401602 22674602403 45349204806 68023807209 136047614418