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13720206744 = 23322321373877
BaseRepresentation
bin11001100011100100…
…11011110110011000
31022102011222201101100
430301302123312120
5211044333103434
610145235351400
7663666555516
oct146162336630
938364881340
1013720206744
115900776442
1227aaa52560
1313a866763a
149422834b6
155547b6699
hex331c9bd98

13720206744 has 96 divisors (see below), whose sum is σ = 38802647520. Its totient is φ = 4371383808.

The previous prime is 13720206691. The next prime is 13720206781. The reversal of 13720206744 is 44760202731.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13720206699 and 13720206708.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3536934 + ... + 3540810.

It is an arithmetic number, because the mean of its divisors is an integer number (404194245).

Almost surely, 213720206744 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 13720206744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19401323760).

13720206744 is an abundant number, since it is smaller than the sum of its proper divisors (25082440776).

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

13720206744 is a wasteful number, since it uses less digits than its factorization.

13720206744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6049 (or 6042 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 13720206744 in words is "thirteen billion, seven hundred twenty million, two hundred six thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 184 207 276 414 552 828 1656 2137 3877 4274 6411 7754 8548 11631 12822 15508 17096 19233 23262 25644 31016 34893 38466 46524 49151 51288 69786 76932 89171 93048 98302 139572 147453 153864 178342 196604 267513 279144 294906 356684 393208 442359 535026 589812 713368 802539 884718 1070052 1179624 1605078 1769436 2140104 3210156 3538872 6420312 8285149 16570298 24855447 33140596 49710894 66281192 74566341 99421788 149132682 190558427 198843576 298265364 381116854 571675281 596530728 762233708 1143350562 1524467416 1715025843 2286701124 3430051686 4573402248 6860103372 13720206744