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13069291040 = 2551314294397
BaseRepresentation
bin11000010101111110…
…11000111000100000
31020201211011202220022
430022333120320200
5203231214303130
610000504133012
7641604066221
oct141277307040
936654152808
1013069291040
1155a7301883
122648a67168
131303852910
148bda45248
1551758c7e5
hex30afd8e20

13069291040 has 96 divisors (see below), whose sum is σ = 33282128880. Its totient is φ = 4821110784.

The previous prime is 13069291009. The next prime is 13069291051. The reversal of 13069291040 is 4019296031.

It is a Cunningham number, because it is equal to 1143212-1.

It can be written as a sum of positive squares in 8 ways, for example, as 784672144 + 12284618896 = 28012^2 + 110836^2 .

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, 2970122 + ... + 2974518.

Almost surely, 213069291040 is an apocalyptic number.

13069291040 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 13069291040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16641064440).

13069291040 is an abundant number, since it is smaller than the sum of its proper divisors (20212837840).

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

13069291040 is a wasteful number, since it uses less digits than its factorization.

13069291040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5854 (or 5846 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 35.

The spelling of 13069291040 in words is "thirteen billion, sixty-nine million, two hundred ninety-one thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 1429 2080 2858 4397 5716 7145 8794 11432 14290 17588 18577 21985 22864 28580 35176 37154 43970 45728 57160 57161 70352 74308 87940 92885 114320 114322 140704 148616 175880 185770 228640 228644 285805 297232 351760 371540 457288 571610 594464 703520 743080 914576 1143220 1486160 1829152 2286440 2972320 4572880 6283313 9145760 12566626 25133252 31416565 50266504 62833130 81683069 100533008 125666260 163366138 201066016 251332520 326732276 408415345 502665040 653464552 816830690 1005330080 1306929104 1633661380 2613858208 3267322760 6534645520 13069291040