Search a number
-
+
11221664157 = 3311191988599
BaseRepresentation
bin10100111001101110…
…10000000110011101
31001222001112121022000
422130313100012131
5140440221223112
65053303112513
7545040400014
oct123467200635
931861477260
1011221664157
114839378410
122212142739
13109ab28682
147864d1a7b
1545a2777dc
hex29cdd019d

11221664157 has 32 divisors (see below), whose sum is σ = 19090560000. Its totient is φ = 6443057520.

The previous prime is 11221664137. The next prime is 11221664197. The reversal of 11221664157 is 75146612211.

11221664157 is a `hidden beast` number, since 1 + 1 + 2 + 2 + 1 + 6 + 641 + 5 + 7 = 666.

11221664157 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11221664157 - 26 = 11221664093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11221664107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 988657 + ... + 999942.

It is an arithmetic number, because the mean of its divisors is an integer number (596580000).

Almost surely, 211221664157 is an apocalyptic number.

It is an amenable number.

11221664157 is a deficient number, since it is larger than the sum of its proper divisors (7868895843).

11221664157 is a wasteful number, since it uses less digits than its factorization.

11221664157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1988638 (or 1988632 counting only the distinct ones).

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

The spelling of 11221664157 in words is "eleven billion, two hundred twenty-one million, six hundred sixty-four thousand, one hundred fifty-seven".

Divisors: 1 3 9 11 19 27 33 57 99 171 209 297 513 627 1881 5643 1988599 5965797 17897391 21874589 37783381 53692173 65623767 113350143 196871301 340050429 415617191 590613903 1020151287 1246851573 3740554719 11221664157