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11843409090825 = 32521329139621681
BaseRepresentation
bin1010110001011000001000…
…1100010001100100001001
31112221012220112122201020200
42230112002030101210021
53023020300211401300
641104441555242413
72331441501155424
oct254260214214411
945835815581220
1011843409090825
113856841747084
1213b33b98a9409
1367baa080c890
142cd31cb609bb
1515811a8d4200
hexac582311909

11843409090825 has 72 divisors (see below), whose sum is σ = 23632365895320. Its totient is φ = 5629546137600.

The previous prime is 11843409090803. The next prime is 11843409090841. The reversal of 11843409090825 is 52809090434811.

It is a happy number.

11843409090825 is a `hidden beast` number, since 1 + 18 + 434 + 0 + 90 + 90 + 8 + 25 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 2575476119241 + 9267932971584 = 1604829^2 + 3044328^2 .

It is not a de Polignac number, because 11843409090825 - 210 = 11843409089801 is a prime.

It is a super-3 number, since 3×118434090908253 (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 69726016 + ... + 69895665.

Almost surely, 211843409090825 is an apocalyptic number.

11843409090825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11843409090825 is a deficient number, since it is larger than the sum of its proper divisors (11788956804495).

11843409090825 is a wasteful number, since it uses less digits than its factorization.

11843409090825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139621739 (or 139621731 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 11843409090825 in words is "eleven trillion, eight hundred forty-three billion, four hundred nine million, ninety thousand, eight hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 29 39 45 65 75 87 117 145 195 225 261 325 377 435 585 725 975 1131 1305 1885 2175 2925 3393 5655 6525 9425 16965 28275 84825 139621681 418865043 698108405 1256595129 1815081853 2094325215 3490542025 4049028749 5445245559 6282975645 9075409265 10471626075 12147086247 16335736677 20245143745 27226227795 31414878225 36441258741 45377046325 52637373737 60735431235 81678683385 101225718725 136131138975 157912121211 182206293705 263186868685 303677156175 408393416925 473736363633 789560606055 911031468525 1315934343425 2368681818165 3947803030275 11843409090825