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11239580013888 = 2631493061128351
BaseRepresentation
bin1010001110001110101100…
…1011001001010101000000
31110210111022122201101200010
42203203223023021111000
52433122124440421023
635523220342424520
72240014161535662
oct243435313112500
943714278641603
1011239580013888
1136437519a2396
121316380732140
13636b707a7195
142abdda13a532
15147579805093
hexa38eb2c9540

11239580013888 has 112 divisors (see below), whose sum is σ = 29947653388800. Its totient is φ = 3720137472000.

The previous prime is 11239580013863. The next prime is 11239580013923. The reversal of 11239580013888 is 88831008593211.

It is a congruent 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 15 ways as a sum of consecutive naturals, for example, 87504913 + ... + 87633263.

It is an arithmetic number, because the mean of its divisors is an integer number (267389762400).

Almost surely, 211239580013888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11239580013888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14973826694400).

11239580013888 is an abundant number, since it is smaller than the sum of its proper divisors (18708073374912).

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

11239580013888 is a wasteful number, since it uses less digits than its factorization.

11239580013888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131576 (or 131566 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 57.

The spelling of 11239580013888 in words is "eleven trillion, two hundred thirty-nine billion, five hundred eighty million, thirteen thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 149 192 298 447 596 894 1192 1788 2384 3061 3576 4768 6122 7152 9183 9536 12244 14304 18366 24488 28608 36732 48976 73464 97952 128351 146928 195904 256702 293856 385053 456089 513404 587712 770106 912178 1026808 1368267 1540212 1824356 2053616 2736534 3080424 3648712 4107232 5473068 6160848 7297424 8214464 10946136 12321696 14594848 19124299 21892272 24643392 29189696 38248598 43784544 57372897 76497196 87569088 114745794 152994392 229491588 305988784 392882411 458983176 611977568 785764822 917966352 1178647233 1223955136 1571529644 1835932704 2357294466 3143059288 3671865408 4714588932 6286118576 9429177864 12572237152 18858355728 25144474304 37716711456 58539479239 75433422912 117078958478 175618437717 234157916956 351236875434 468315833912 702473750868 936631667824 1404947501736 1873263335648 2809895003472 3746526671296 5619790006944 11239580013888