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11337336340 = 225111094211123
BaseRepresentation
bin10101000111100001…
…00000011000010100
31002021010012100200221
422203300200120110
5141204324230330
65112554244124
7550643524501
oct124360403024
932233170627
1011337336340
1148986a3660
122244a26644
1310b8a98755
14797a024a8
154654c5b7a
hex2a3c20614

11337336340 has 96 divisors (see below), whose sum is σ = 26296744320. Its totient is φ = 4071513600.

The previous prime is 11337336317. The next prime is 11337336343. The reversal of 11337336340 is 4363373311.

It is a junction number, because it is equal to n+sod(n) for n = 11337336296 and 11337336305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11337336343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10095019 + ... + 10096141.

It is an arithmetic number, because the mean of its divisors is an integer number (273924420).

Almost surely, 211337336340 is an apocalyptic number.

11337336340 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 11337336340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13148372160).

11337336340 is an abundant number, since it is smaller than the sum of its proper divisors (14959407980).

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

11337336340 is a wasteful number, since it uses less digits than its factorization.

11337336340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1673 (or 1671 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 34.

The spelling of 11337336340 in words is "eleven billion, three hundred thirty-seven million, three hundred thirty-six thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 109 110 218 220 421 436 545 842 1090 1123 1199 1684 2105 2180 2246 2398 4210 4492 4631 4796 5615 5995 8420 9262 11230 11990 12353 18524 22460 23155 23980 24706 45889 46310 49412 61765 91778 92620 122407 123530 183556 229445 244814 247060 458890 472783 489628 504779 612035 917780 945566 1009558 1224070 1346477 1891132 2019116 2363915 2448140 2523895 2692954 4727830 5047790 5200613 5385908 6732385 9455660 10095580 10401226 13464770 20802452 26003065 26929540 51533347 52006130 103066694 104012260 206133388 257666735 515333470 566866817 1030666940 1133733634 2267467268 2834334085 5668668170 11337336340