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13663769680 = 2451122216991
BaseRepresentation
bin11001011100110110…
…01001010001010000
31022021020210102021201
430232123021101100
5210440411112210
610135502000544
7662413061131
oct145633112120
938236712251
1013663769680
115881929440
122793b76154
131399a67322
14938991c88
1554e86953a
hex32e6c9450

13663769680 has 80 divisors (see below), whose sum is σ = 34676851968. Its totient is φ = 4965696000.

The previous prime is 13663769663. The next prime is 13663769723. The reversal of 13663769680 is 8696736631.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×136637696803 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (55).

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, 1950985 + ... + 1957975.

Almost surely, 213663769680 is an apocalyptic number.

13663769680 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 13663769680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17338425984).

13663769680 is an abundant number, since it is smaller than the sum of its proper divisors (21013082288).

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

13663769680 is a wasteful number, since it uses less digits than its factorization.

13663769680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9236 (or 9230 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 55.

The spelling of 13663769680 in words is "thirteen billion, six hundred sixty-three million, seven hundred sixty-nine thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 2221 4442 6991 8884 11105 13982 17768 22210 24431 27964 34955 35536 44420 48862 55928 69910 76901 88840 97724 111856 122155 139820 153802 177680 195448 244310 279640 307604 384505 390896 488620 559280 615208 769010 977240 1230416 1538020 1954480 3076040 6152080 15527011 31054022 62108044 77635055 124216088 155270110 170797121 248432176 310540220 341594242 621080440 683188484 853985605 1242160880 1366376968 1707971210 2732753936 3415942420 6831884840 13663769680