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11814503232 = 263714958997
BaseRepresentation
bin10110000000011001…
…10000001101000000
31010111101001221121210
423000030300031000
5143144003100412
65232201450120
7565526422560
oct130014601500
933441057553
1011814503232
115012a85164
1223587a0940
1311638b7a1c
14801132da0
1549232d83c
hex2c0330340

11814503232 has 112 divisors (see below), whose sum is σ = 35965180800. Its totient is φ = 3352860672.

The previous prime is 11814503231. The next prime is 11814503249. The reversal of 11814503232 is 23230541811.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 11814503232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11814503231) 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, 170758 + ... + 229754.

Almost surely, 211814503232 is an apocalyptic number.

11814503232 is a gapful number since it is divisible by the number (12) 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 11814503232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17982590400).

11814503232 is an abundant number, since it is smaller than the sum of its proper divisors (24150677568).

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

11814503232 is a wasteful number, since it uses less digits than its factorization.

11814503232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59168 (or 59158 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The spelling of 11814503232 in words is "eleven billion, eight hundred fourteen million, five hundred three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 149 168 192 224 298 336 447 448 596 672 894 1043 1192 1344 1788 2086 2384 3129 3576 4172 4768 6258 7152 8344 9536 12516 14304 16688 25032 28608 33376 50064 58997 66752 100128 117994 176991 200256 235988 353982 412979 471976 707964 825958 943952 1238937 1415928 1651916 1887904 2477874 2831856 3303832 3775808 4955748 5663712 6607664 8790553 9911496 11327424 13215328 17581106 19822992 26371659 26430656 35162212 39645984 52743318 61533871 70324424 79291968 105486636 123067742 140648848 184601613 210973272 246135484 281297696 369203226 421946544 492270968 562595392 738406452 843893088 984541936 1476812904 1687786176 1969083872 2953625808 3938167744 5907251616 11814503232