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11669853440 = 28572515189
BaseRepresentation
bin10101101111001001…
…11101010100000000
31010010021212222102002
422313210331110000
5142344440302230
65205553243132
7562122055220
oct126744752400
933107788362
1011669853440
114a49367683
1223182634a8
13113c94012b
147c9c3c080
154847a9545
hex2b793d500

11669853440 has 144 divisors (see below), whose sum is σ = 32079680640. Its totient is φ = 3984384000.

The previous prime is 11669853401. The next prime is 11669853449. The reversal of 11669853440 is 4435896611.

It is a super-2 number, since 2×116698534402 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11669853449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2246366 + ... + 2251554.

It is an arithmetic number, because the mean of its divisors is an integer number (222775560).

Almost surely, 211669853440 is an apocalyptic number.

11669853440 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 11669853440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16039840320).

11669853440 is an abundant number, since it is smaller than the sum of its proper divisors (20409827200).

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

11669853440 is an equidigital number, since it uses as much as digits as its factorization.

11669853440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5468 (or 5454 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 47.

The spelling of 11669853440 in words is "eleven billion, six hundred sixty-nine million, eight hundred fifty-three thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 251 256 280 320 448 502 560 640 896 1004 1120 1255 1280 1757 1792 2008 2240 2510 3514 4016 4480 5020 5189 7028 8032 8785 8960 10040 10378 14056 16064 17570 20080 20756 25945 28112 32128 35140 36323 40160 41512 51890 56224 64256 70280 72646 80320 83024 103780 112448 140560 145292 160640 166048 181615 207560 224896 281120 290584 321280 332096 363230 415120 449792 562240 581168 664192 726460 830240 1124480 1162336 1302439 1328384 1452920 1660480 2248960 2324672 2604878 2905840 3320960 4649344 5209756 5811680 6512195 6641920 9117073 9298688 10419512 11623360 13024390 18234146 20839024 23246720 26048780 36468292 41678048 45585365 46493440 52097560 72936584 83356096 91170730 104195120 145873168 166712192 182341460 208390240 291746336 333424384 364682920 416780480 583492672 729365840 833560960 1166985344 1458731680 1667121920 2333970688 2917463360 5834926720 11669853440