Search a number
-
+
12045126555 = 3257117094903
BaseRepresentation
bin10110011011111001…
…00000101110011011
31011002110000211100100
423031330200232123
5144132023022210
65311120510443
7604326613020
oct131574405633
934073024310
1012045126555
115121183950
122401a7b423
13119c604927
14823a07547
154a76d65c0
hex2cdf20b9b

12045126555 has 96 divisors (see below), whose sum is σ = 26072017920. Its totient is φ = 4997687040.

The previous prime is 12045126553. The next prime is 12045126559. The reversal of 12045126555 is 55562154021.

It is not a de Polignac number, because 12045126555 - 21 = 12045126553 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12045126553) 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 95 ways as a sum of consecutive naturals, for example, 2454234 + ... + 2459136.

It is an arithmetic number, because the mean of its divisors is an integer number (271583520).

Almost surely, 212045126555 is an apocalyptic number.

12045126555 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12045126555 is an abundant number, since it is smaller than the sum of its proper divisors (14026891365).

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

12045126555 is a wasteful number, since it uses less digits than its factorization.

12045126555 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5641 (or 5638 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 36.

The spelling of 12045126555 in words is "twelve billion, forty-five million, one hundred twenty-six thousand, five hundred fifty-five".

Divisors: 1 3 5 7 9 11 15 21 33 35 45 55 63 77 99 105 165 231 315 385 495 693 709 1155 2127 3465 3545 4903 4963 6381 7799 10635 14709 14889 23397 24515 24815 31905 34321 38995 44127 44667 53933 54593 70191 73545 74445 102963 116985 161799 163779 171605 220635 223335 269665 272965 308889 350955 377531 485397 491337 514815 808995 818895 1132593 1544445 1887655 2426985 2456685 3397779 3476227 5662965 10428681 16988895 17381135 24333589 31286043 38238497 52143405 73000767 114715491 121667945 156430215 191192485 219002301 267669479 344146473 365003835 573577455 803008437 1095011505 1338347395 1720732365 2409025311 4015042185 12045126555