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11532139360 = 255782312511
BaseRepresentation
bin10101011110101111…
…00111101101100000
31002202200202101012121
422233113213231200
5142104211424420
65144153434024
7555530365360
oct125727475540
932680671177
1011532139360
114988656a95
12229a10b914
13111a253401
147b58309a0
154776552aa
hex2af5e7b60

11532139360 has 96 divisors (see below), whose sum is σ = 31177101312. Its totient is φ = 3948756480.

The previous prime is 11532139343. The next prime is 11532139373. The reversal of 11532139360 is 6393123511.

It is a happy number.

It is a super-2 number, since 2×115321393602 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 915505 + ... + 928015.

It is an arithmetic number, because the mean of its divisors is an integer number (324761472).

Almost surely, 211532139360 is an apocalyptic number.

11532139360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11532139360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15588550656).

11532139360 is an abundant number, since it is smaller than the sum of its proper divisors (19644961952).

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

11532139360 is a wasteful number, since it uses less digits than its factorization.

11532139360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13356 (or 13348 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 34.

The spelling of 11532139360 in words is "eleven billion, five hundred thirty-two million, one hundred thirty-nine thousand, three hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 823 1120 1646 3292 4115 5761 6584 8230 11522 12511 13168 16460 23044 25022 26336 28805 32920 46088 50044 57610 62555 65840 87577 92176 100088 115220 125110 131680 175154 184352 200176 230440 250220 350308 400352 437885 460880 500440 700616 875770 921760 1000880 1401232 1751540 2001760 2802464 3503080 7006160 10296553 14012320 20593106 41186212 51482765 72075871 82372424 102965530 144151742 164744848 205931060 288303484 329489696 360379355 411862120 576606968 720758710 823724240 1153213936 1441517420 1647448480 2306427872 2883034840 5766069680 11532139360