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13049003232 = 253344933637
BaseRepresentation
bin11000010011100011…
…11111110011100000
31020200102000001021000
430021301333303200
5203211021100412
65554501232000
7641236461126
oct141161776340
936612001230
1013049003232
1155969052a1
122642102600
1312cc59b4b5
148bb083916
155158d14dc
hex309c7fce0

13049003232 has 96 divisors (see below), whose sum is σ = 38145492000. Its totient is φ = 4339851264.

The previous prime is 13049003173. The next prime is 13049003269. The reversal of 13049003232 is 23230094031.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 13049003196 and 13049003205.

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, 371118 + ... + 404754.

It is an arithmetic number, because the mean of its divisors is an integer number (397348875).

Almost surely, 213049003232 is an apocalyptic number.

13049003232 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 13049003232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19072746000).

13049003232 is an abundant number, since it is smaller than the sum of its proper divisors (25096488768).

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

13049003232 is a wasteful number, since it uses less digits than its factorization.

13049003232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34105 (or 34091 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 13049003232 its reverse (23230094031), we get a palindrome (36279097263).

The spelling of 13049003232 in words is "thirteen billion, forty-nine million, three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 449 864 898 1347 1796 2694 3592 4041 5388 7184 8082 10776 12123 14368 16164 21552 24246 32328 33637 43104 48492 64656 67274 96984 100911 129312 134548 193968 201822 269096 302733 387936 403644 538192 605466 807288 908199 1076384 1210932 1614576 1816398 2421864 3229152 3632796 4843728 7265592 9687456 14531184 15103013 29062368 30206026 45309039 60412052 90618078 120824104 135927117 181236156 241648208 271854234 362472312 407781351 483296416 543708468 724944624 815562702 1087416936 1449889248 1631125404 2174833872 3262250808 4349667744 6524501616 13049003232