Search a number
-
+
13201825716 = 2233373932693
BaseRepresentation
bin11000100101110001…
…11101111110110100
31021002001120020022000
430102320331332310
5204014131410331
610022000535300
7645103444542
oct142270757664
937061506260
1013201825716
1156650a5072
122685321530
131325147cc1
148d34a4d92
1552401c0e6
hex312e3dfb4

13201825716 has 48 divisors (see below), whose sum is σ = 34237156800. Its totient is φ = 4399297056.

The previous prime is 13201825687. The next prime is 13201825789. The reversal of 13201825716 is 61752810231.

13201825716 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 1 + 82 + 571 + 6 = 666.

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

It is a congruent number.

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, 387466 + ... + 420158.

It is an arithmetic number, because the mean of its divisors is an integer number (713274100).

Almost surely, 213201825716 is an apocalyptic number.

It is an amenable number.

13201825716 is an abundant number, since it is smaller than the sum of its proper divisors (21035331084).

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

13201825716 is a wasteful number, since it uses less digits than its factorization.

13201825716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36445 (or 36437 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 13201825716 in words is "thirteen billion, two hundred one million, eight hundred twenty-five thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 3739 7478 11217 14956 22434 32693 33651 44868 65386 67302 98079 100953 130772 134604 196158 201906 294237 392316 403812 588474 882711 1176948 1765422 3530844 122239127 244478254 366717381 488956508 733434762 1100152143 1466869524 2200304286 3300456429 4400608572 6600912858 13201825716