Search a number
-
+
13780967115650 = 2527217330875561
BaseRepresentation
bin1100100010001010000110…
…1001100100101110000010
31210210110002021220120021112
43020202201221210232002
53301241410040200100
645150520000123322
72621433132506600
oct310424151445602
953713067816245
1013780967115650
1144335257387a9
121666a16006542
1378c702722537
143590066d2870
1518d71ba95b35
hexc88a1a64b82

13780967115650 has 72 divisors (see below), whose sum is σ = 31571484374916. Its totient is φ = 4446967526400.

The previous prime is 13780967115637. The next prime is 13780967115653. The reversal of 13780967115650 is 5651176908731.

It can be written as a sum of positive squares in 6 ways, for example, as 4528413792049 + 9252553323601 = 2128007^2 + 3041801^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 13780967115650.

It is not an unprimeable number, because it can be changed into a prime (13780967115653) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 165396131 + ... + 165479430.

Almost surely, 213780967115650 is an apocalyptic number.

13780967115650 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13780967115650 is an abundant number, since it is smaller than the sum of its proper divisors (17790517259266).

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

13780967115650 is a wasteful number, since it uses less digits than its factorization.

13780967115650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330875604 (or 330875592 counting only the distinct ones).

The product of its (nonzero) digits is 9525600, while the sum is 59.

The spelling of 13780967115650 in words is "thirteen trillion, seven hundred eighty billion, nine hundred sixty-seven million, one hundred fifteen thousand, six hundred fifty".

Divisors: 1 2 5 7 10 14 17 25 34 35 49 50 70 85 98 119 170 175 238 245 350 425 490 595 833 850 1190 1225 1666 2450 2975 4165 5950 8330 20825 41650 330875561 661751122 1654377805 2316128927 3308755610 4632257854 5624884537 8271889025 11249769074 11580644635 16212902489 16543778050 23161289270 28124422685 32425804978 39374191759 56248845370 57903223175 78748383518 81064512445 115806446350 140622113425 162129024890 196870958795 275619342313 281244226850 393741917590 405322562225 551238684626 810645124450 984354793975 1378096711565 1968709587950 2756193423130 6890483557825 13780967115650