Search a number
-
+
11634554061 = 32131718473167
BaseRepresentation
bin10101101010111100…
…10011010011001101
31010000211110120202200
422311132103103031
5142311421212221
65202252512113
7561213035454
oct126536232315
933024416680
1011634554061
114a30447739
12230847b639
131135531020
147c528db9b
15481635426
hex2b57934cd

11634554061 has 48 divisors (see below), whose sum is σ = 19179224064. Its totient is φ = 6732790272.

The previous prime is 11634554047. The next prime is 11634554081. The reversal of 11634554061 is 16045543611.

11634554061 is a `hidden beast` number, since 1 + 16 + 3 + 45 + 540 + 61 = 666.

It is not a de Polignac number, because 11634554061 - 213 = 11634545869 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11634554081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3672100 + ... + 3675266.

It is an arithmetic number, because the mean of its divisors is an integer number (399567168).

Almost surely, 211634554061 is an apocalyptic number.

It is an amenable number.

11634554061 is a deficient number, since it is larger than the sum of its proper divisors (7544670003).

11634554061 is a wasteful number, since it uses less digits than its factorization.

11634554061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5050 (or 5047 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 11634554061 in words is "eleven billion, six hundred thirty-four million, five hundred fifty-four thousand, sixty-one".

Divisors: 1 3 9 13 17 39 51 117 153 221 663 1847 1989 3167 5541 9501 16623 24011 28503 31399 41171 53839 72033 94197 123513 161517 216099 282591 370539 408187 484551 699907 1224561 2099721 3673683 5849449 6299163 17548347 52645041 76042837 99440633 228128511 298321899 684385533 894965697 1292728229 3878184687 11634554061