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11854951382404 = 2213215128772
BaseRepresentation
bin1010110010000011001000…
…1010100111110110000100
31112222022200221111212200101
42230200302022213312010
53023212420023214104
641114031154453444
72332330514056324
oct254406212476604
945868627455611
1011854951382404
113860724aa7629
1213b569b294284
1367cbbcba8c00
142cdad5a75284
15158593d925a4
hexac8322a7d84

11854951382404 has 81 divisors (see below), whose sum is σ = 22640356429551. Its totient is φ = 5429083233600.

The previous prime is 11854951382297. The next prime is 11854951382489. The reversal of 11854951382404 is 40428315945811.

The square root of 11854951382404 is 3443102.

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

It can be written as a sum of positive squares in 4 ways, for example, as 2079542404 + 11852871840000 = 45602^2 + 3442800^2 .

It is a Duffinian number.

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 26 ways as a sum of consecutive naturals, for example, 13517618014 + ... + 13517618890.

Almost surely, 211854951382404 is an apocalyptic number.

11854951382404 is the 3443102-nd square number.

It is an amenable number.

11854951382404 is a deficient number, since it is larger than the sum of its proper divisors (10785405047147).

11854951382404 is an frugal number, since it uses more digits than its factorization.

11854951382404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2086 (or 1043 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 55.

The spelling of 11854951382404 in words is "eleven trillion, eight hundred fifty-four billion, nine hundred fifty-one million, three hundred eighty-two thousand, four hundred four".

Divisors: 1 2 4 13 26 52 151 169 302 338 604 676 877 1754 1963 3508 3926 7852 11401 22801 22802 25519 45602 45604 51038 91204 102076 132427 148213 264854 296413 296426 529708 592826 592852 769129 1185652 1538258 1721551 3076516 3443102 3853369 6886204 7706738 9998677 15413476 19996477 19997354 22380163 39992954 39994708 44760326 79985908 89520652 116138479 129982801 232276958 259954201 259965602 464553916 519908402 519931204 1039816804 1509800227 3019600454 3379404613 6039200908 6758809226 13517618452 17536910329 19627402951 35073820658 39254805902 70147641316 78509611804 227979834277 455959668554 911919337108 2963737845601 5927475691202 11854951382404