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13900027104 = 2532467103349
BaseRepresentation
bin11001111001000000…
…11001010011100000
31022212201100112112200
430330200121103200
5211431401331404
610215141453200
71001312165235
oct147440312340
938781315480
1013900027104
115993226107
12283b111200
1314069a7812
1495c0d178c
15565486839
hex33c8194e0

13900027104 has 72 divisors (see below), whose sum is σ = 39613228200. Its totient is φ = 4623376128.

The previous prime is 13900027103. The next prime is 13900027109. The reversal of 13900027104 is 40172000931.

13900027104 is a `hidden beast` number, since 1 + 390 + 0 + 0 + 271 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13900027103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 82822 + ... + 186170.

It is an arithmetic number, because the mean of its divisors is an integer number (550183725).

Almost surely, 213900027104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13900027104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19806614100).

13900027104 is an abundant number, since it is smaller than the sum of its proper divisors (25713201096).

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

13900027104 is a wasteful number, since it uses less digits than its factorization.

13900027104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103832 (or 103821 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The spelling of 13900027104 in words is "thirteen billion, nine hundred million, twenty-seven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 467 934 1401 1868 2802 3736 4203 5604 7472 8406 11208 14944 16812 22416 33624 44832 67248 103349 134496 206698 310047 413396 620094 826792 930141 1240188 1653584 1860282 2480376 3307168 3720564 4960752 7441128 9921504 14882256 29764512 48263983 96527966 144791949 193055932 289583898 386111864 434375847 579167796 772223728 868751694 1158335592 1544447456 1737503388 2316671184 3475006776 4633342368 6950013552 13900027104