Search a number
-
+
13089928512 = 263615232137
BaseRepresentation
bin11000011000011100…
…00111010101000000
31020210021000021012010
430030032013111000
5203302010203022
610002522332520
7642244361613
oct141416072500
936707007163
1013089928512
115607a18041
12265395a140
131307bca23b
148c269817a
155192b750c
hex30c387540

13089928512 has 112 divisors (see below), whose sum is σ = 35285346752. Its totient is φ = 4281569280.

The previous prime is 13089928477. The next prime is 13089928519. The reversal of 13089928512 is 21582998031.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13089928519) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6124308 + ... + 6126444.

Almost surely, 213089928512 is an apocalyptic number.

13089928512 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 13089928512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17642673376).

13089928512 is an abundant number, since it is smaller than the sum of its proper divisors (22195418240).

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

13089928512 is a wasteful number, since it uses less digits than its factorization.

13089928512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2736 (or 2726 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 48.

The spelling of 13089928512 in words is "thirteen billion, eighty-nine million, nine hundred twenty-eight thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 64 96 122 183 192 244 366 488 523 732 976 1046 1464 1569 1952 2092 2137 2928 3138 3904 4184 4274 5856 6276 6411 8368 8548 11712 12552 12822 16736 17096 25104 25644 31903 33472 34192 50208 51288 63806 68384 95709 100416 102576 127612 130357 136768 191418 205152 255224 260714 382836 391071 410304 510448 521428 765672 782142 1020896 1042856 1117651 1531344 1564284 2041792 2085712 2235302 3062688 3128568 3352953 4171424 4470604 6125376 6257136 6705906 8342848 8941208 12514272 13411812 17882416 25028544 26823624 35764832 53647248 68176711 71529664 107294496 136353422 204530133 214588992 272706844 409060266 545413688 818120532 1090827376 1636241064 2181654752 3272482128 4363309504 6544964256 13089928512