Search a number
-
+
13146645264 = 243596537109
BaseRepresentation
bin11000011111001100…
…11110001100010000
31020221012201202221120
430033212132030100
5203411020122024
610012310122240
7643533432564
oct141746361420
936835652846
1013146645264
115636a36195
12266a950380
13131689794c
148ca01d6a4
1551e26c479
hex30f99e310

13146645264 has 80 divisors (see below), whose sum is σ = 34595553600. Its totient is φ = 4300738048.

The previous prime is 13146645229. The next prime is 13146645271. The reversal of 13146645264 is 46254664131.

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, 1845742 + ... + 1852850.

It is an arithmetic number, because the mean of its divisors is an integer number (432444420).

Almost surely, 213146645264 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 13146645264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17297776800).

13146645264 is an abundant number, since it is smaller than the sum of its proper divisors (21448908336).

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

13146645264 is a wasteful number, since it uses less digits than its factorization.

13146645264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7832 (or 7826 counting only the distinct ones).

The product of its digits is 414720, while the sum is 42.

The spelling of 13146645264 in words is "thirteen billion, one hundred forty-six million, six hundred forty-five thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 59 118 177 236 354 472 653 708 944 1306 1416 1959 2612 2832 3918 5224 7109 7836 10448 14218 15672 21327 28436 31344 38527 42654 56872 77054 85308 113744 115581 154108 170616 231162 308216 341232 419431 462324 616432 838862 924648 1258293 1677724 1849296 2516586 3355448 4642177 5033172 6710896 9284354 10066344 13926531 18568708 20132688 27853062 37137416 55706124 74274832 111412248 222824496 273888443 547776886 821665329 1095553772 1643330658 2191107544 3286661316 4382215088 6573322632 13146645264