Search a number
-
+
45004208424 = 23372953174289
BaseRepresentation
bin101001111010011101…
…011011100100101000
311022011102100122221020
4221322131123210220
51214132034132144
632401420212440
73152150313510
oct517235334450
9138142318836
1045004208424
11180a477a98a
12887b99a120
134322a55836
14226d046840
151285ec0419
hexa7a75b928

45004208424 has 128 divisors (see below), whose sum is σ = 135527904000. Its totient is φ = 12180639744.

The previous prime is 45004208419. The next prime is 45004208467. The reversal of 45004208424 is 42480240054.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 171072 + ... + 345360.

It is an arithmetic number, because the mean of its divisors is an integer number (1058811750).

Almost surely, 245004208424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45004208424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67763952000).

45004208424 is an abundant number, since it is smaller than the sum of its proper divisors (90523695576).

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

45004208424 is a wasteful number, since it uses less digits than its factorization.

45004208424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174387 (or 174383 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 33.

Adding to 45004208424 its reverse (42480240054), we get a palindrome (87484448478).

The spelling of 45004208424 in words is "forty-five billion, four million, two hundred eight thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 29 42 53 56 58 84 87 106 116 159 168 174 203 212 232 318 348 371 406 424 609 636 696 742 812 1113 1218 1272 1484 1537 1624 2226 2436 2968 3074 4452 4611 4872 6148 8904 9222 10759 12296 18444 21518 32277 36888 43036 64554 86072 129108 174289 258216 348578 522867 697156 1045734 1220023 1394312 2091468 2440046 3660069 4182936 4880092 5054381 7320138 9237317 9760184 10108762 14640276 15163143 18474634 20217524 27711951 29280552 30326286 35380667 36949268 40435048 55423902 60652572 64661219 70761334 73898536 106142001 110847804 121305144 129322438 141522668 193983657 212284002 221695608 258644876 267882193 283045336 387967314 424568004 517289752 535764386 775934628 803646579 849136008 1071528772 1551869256 1607293158 1875175351 2143057544 3214586316 3750350702 5625526053 6429172632 7500701404 11251052106 15001402808 22502104212 45004208424