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11689243600 = 245236779627
BaseRepresentation
bin10101110001011101…
…11011001111010000
31010011122101002201011
422320232323033100
5142414421243400
65211525020304
7562445634256
oct127056731720
933148332634
1011689243600
114a59300801
122322854694
13114396bab8
147cc6485d6
154863398ba
hex2b8bbb3d0

11689243600 has 60 divisors (see below), whose sum is σ = 28160282944. Its totient is φ = 4662898560.

The previous prime is 11689243589. The next prime is 11689243627. The reversal of 11689243600 is 634298611.

It is a super-3 number, since 3×116892436003 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

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 11 ways as a sum of consecutive naturals, for example, 106987 + ... + 186613.

Almost surely, 211689243600 is an apocalyptic number.

11689243600 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 11689243600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14080141472).

11689243600 is an abundant number, since it is smaller than the sum of its proper divisors (16471039344).

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

11689243600 is a wasteful number, since it uses less digits than its factorization.

11689243600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80012 (or 80001 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The spelling of 11689243600 in words is "eleven billion, six hundred eighty-nine million, two hundred forty-three thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 367 400 734 1468 1835 2936 3670 5872 7340 9175 14680 18350 29360 36700 73400 79627 146800 159254 318508 398135 637016 796270 1274032 1592540 1990675 3185080 3981350 6370160 7962700 15925400 29223109 31850800 58446218 116892436 146115545 233784872 292231090 467569744 584462180 730577725 1168924360 1461155450 2337848720 2922310900 5844621800 11689243600