Search a number
-
+
11385146955 = 3571331269057
BaseRepresentation
bin10101001101001101…
…11000111001001011
31002101110011101112110
422212212320321023
5141304044200310
65121423113403
7552064103160
oct124646707113
932343141473
1011385146955
114912689466
122258a42863
1310c5968460
147a00ca067
154697bbd20
hex2a69b8e4b

11385146955 has 64 divisors (see below), whose sum is σ = 23143292928. Its totient is φ = 4649287680.

The previous prime is 11385146923. The next prime is 11385146963. The reversal of 11385146955 is 55964158311.

It is not a de Polignac number, because 11385146955 - 25 = 11385146923 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 92214 + ... + 176843.

It is an arithmetic number, because the mean of its divisors is an integer number (361613952).

Almost surely, 211385146955 is an apocalyptic number.

11385146955 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

11385146955 is an abundant number, since it is smaller than the sum of its proper divisors (11758145973).

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

11385146955 is a wasteful number, since it uses less digits than its factorization.

11385146955 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269116.

The product of its digits is 648000, while the sum is 48.

The spelling of 11385146955 in words is "eleven billion, three hundred eighty-five million, one hundred forty-six thousand, nine hundred fifty-five".

Divisors: 1 3 5 7 13 15 21 31 35 39 65 91 93 105 155 195 217 273 403 455 465 651 1085 1209 1365 2015 2821 3255 6045 8463 14105 42315 269057 807171 1345285 1883399 3497741 4035855 5650197 8340767 9416995 10493223 17488705 24484187 25022301 28250985 41703835 52466115 58385369 73452561 108429971 122420935 125111505 175156107 291926845 325289913 367262805 542149855 759009797 875780535 1626449565 2277029391 3795048985 11385146955