Search a number
-
+
13426632153 = 3211414916737
BaseRepresentation
bin11001000000100101…
…00010010111011001
31021122201120120202100
430200102202113121
5204444204212103
610100151154013
7653503330104
oct144022422731
937581516670
1013426632153
11576aa90510
122728675909
13135c8a936c
149152a373b
15538b265a3
hex3204a25d9

13426632153 has 48 divisors (see below), whose sum is σ = 21720508992. Its totient is φ = 7921536000.

The previous prime is 13426632067. The next prime is 13426632157. The reversal of 13426632153 is 35123662431.

13426632153 is a `hidden beast` number, since 1 + 3 + 4 + 2 + 6 + 632 + 15 + 3 = 666.

It is not a de Polignac number, because 13426632153 - 210 = 13426631129 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13426632157) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1989601 + ... + 1996337.

It is an arithmetic number, because the mean of its divisors is an integer number (452510604).

Almost surely, 213426632153 is an apocalyptic number.

It is an amenable number.

13426632153 is a deficient number, since it is larger than the sum of its proper divisors (8293876839).

13426632153 is a wasteful number, since it uses less digits than its factorization.

13426632153 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7286 (or 7283 counting only the distinct ones).

The product of its digits is 77760, while the sum is 36.

The spelling of 13426632153 in words is "thirteen billion, four hundred twenty-six million, six hundred thirty-two thousand, one hundred fifty-three".

Divisors: 1 3 9 11 33 41 99 123 369 451 491 1353 1473 4059 4419 5401 6737 16203 20131 20211 48609 60393 60633 74107 181179 221441 222321 276217 664323 666963 828651 1992969 2485953 3038387 3307867 9115161 9923601 27345483 29770803 36386537 109159611 135622547 327478833 406867641 1220602923 1491848017 4475544051 13426632153