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11807436078025 = 527231231672
BaseRepresentation
bin1010101111010010001000…
…0010000111101111001001
31112210210001112002022200021
42223310202002013233021
53021423112113444100
641040132232540441
72326026162461200
oct253644202075711
945723045068607
1011807436078025
113842561935135
1213a843a551721
13678589b3a5a3
142cb6a9330237
15157212703a1a
hexabd22087bc9

11807436078025 has 81 divisors (see below), whose sum is σ = 17604312836967. Its totient is φ = 7832875226400.

The previous prime is 11807436078013. The next prime is 11807436078049. The reversal of 11807436078025 is 52087063470811.

The square root of 11807436078025 is 3436195.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 4250676988089 + 7556759089936 = 2061717^2 + 2748956^2 .

It is not a de Polignac number, because 11807436078025 - 27 = 11807436077897 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 3728269992 + ... + 3728273158.

Almost surely, 211807436078025 is an apocalyptic number.

11807436078025 is the 3436195-th square number.

11807436078025 is the 1718098-th centered octagonal number.

It is an amenable number.

11807436078025 is a deficient number, since it is larger than the sum of its proper divisors (5796876758942).

11807436078025 is an frugal number, since it uses more digits than its factorization.

11807436078025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6420 (or 3210 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 52.

The spelling of 11807436078025 in words is "eleven trillion, eight hundred seven billion, four hundred thirty-six million, seventy-eight thousand, twenty-five".

Divisors: 1 5 7 25 31 35 49 155 175 217 245 775 961 1085 1225 1519 3167 4805 5425 6727 7595 15835 22169 24025 33635 37975 47089 79175 98177 110845 155183 168175 235445 490885 554225 687239 775915 1177225 2454425 3043487 3436195 3879575 4810673 10029889 15217435 17180975 21304409 24053365 50149445 70209223 76087175 106522045 120266825 149130863 250747225 310926559 351046115 491464561 532610225 745654315 1554632795 1755230575 2176485913 2457322805 3728271575 7773163975 9638723329 10882429565 12286614025 15235401391 48193616645 54412147825 67471063303 76177006955 240968083225 337355316515 380885034775 472297443121 1686776582575 2361487215605 11807436078025