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13061418632208 = 2432372451467461
BaseRepresentation
bin1011111000010001100100…
…1101111100010000010000
31201020122210201111022120100
42332010121031330100100
53202444241132212313
643440155523012400
72515441062353142
oct276043115742020
951218721438510
1013061418632208
114186353342171
12156b48280a100
137398c02b8a3b
1433226707ac92
15179b56710173
hexbe11937c410

13061418632208 has 60 divisors (see below), whose sum is σ = 37541772713068. Its totient is φ = 4236135770880.

The previous prime is 13061418632161. The next prime is 13061418632261. The reversal of 13061418632208 is 80223681416031.

13061418632208 is a `hidden beast` number, since 1 + 3 + 0 + 6 + 1 + 4 + 1 + 8 + 632 + 2 + 0 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11743725855744 + 1317692776464 = 3426912^2 + 1147908^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1225728403 + ... + 1225739058.

Almost surely, 213061418632208 is an apocalyptic number.

13061418632208 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13061418632208 is an abundant number, since it is smaller than the sum of its proper divisors (24480354080860).

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

13061418632208 is a wasteful number, since it uses less digits than its factorization.

13061418632208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2451467512 (or 2451467503 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 13061418632208 in words is "thirteen trillion, sixty-one billion, four hundred eighteen million, six hundred thirty-two thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 48 72 74 111 144 148 222 296 333 444 592 666 888 1332 1776 2664 5328 2451467461 4902934922 7354402383 9805869844 14708804766 19611739688 22063207149 29417609532 39223479376 44126414298 58835219064 88252828596 90704296057 117670438128 176505657192 181408592114 272112888171 353011314384 362817184228 544225776342 725634368456 816338664513 1088451552684 1451268736912 1632677329026 2176903105368 3265354658052 4353806210736 6530709316104 13061418632208