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5036414544 = 243373745013
BaseRepresentation
bin1001011000011000…
…11001011001010000
3110222222220100221000
410230030121121100
540303310231134
62151431502000
7235543550220
oct45414313120
913888810830
105036414544
112154a19877
12b86827900
1362356b465
1435ac60080
151e724ae99
hex12c319650

5036414544 has 160 divisors (see below), whose sum is σ = 16968477440. Its totient is φ = 1400053248.

The previous prime is 5036414521. The next prime is 5036414563. The reversal of 5036414544 is 4454146305.

5036414544 is a `hidden beast` number, since 5 + 0 + 3 + 641 + 4 + 5 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5036414499 and 5036414508.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89382 + ... + 134394.

It is an arithmetic number, because the mean of its divisors is an integer number (106052984).

Almost surely, 25036414544 is an apocalyptic number.

5036414544 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5036414544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8484238720).

5036414544 is an abundant number, since it is smaller than the sum of its proper divisors (11932062896).

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

5036414544 is a wasteful number, since it uses less digits than its factorization.

5036414544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45074 (or 45062 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 5036414544 is about 70967.7007095481. The cubic root of 5036414544 is about 1714.1171092749.

The spelling of 5036414544 in words is "five billion, thirty-six million, four hundred fourteen thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 37 42 48 54 56 63 72 74 84 108 111 112 126 144 148 168 189 216 222 252 259 296 333 336 378 432 444 504 518 592 666 756 777 888 999 1008 1036 1332 1512 1554 1776 1998 2072 2331 2664 3024 3108 3996 4144 4662 5328 6216 6993 7992 9324 12432 13986 15984 18648 27972 37296 45013 55944 90026 111888 135039 180052 270078 315091 360104 405117 540156 630182 720208 810234 945273 1080312 1215351 1260364 1620468 1665481 1890546 2160624 2430702 2520728 2835819 3240936 3330962 3781092 4861404 4996443 5041456 5671638 6481872 6661924 7562184 8507457 9722808 9992886 11343276 11658367 13323848 14989329 15124368 17014914 19445616 19985772 22686552 23316734 26647696 29978658 34029828 34975101 39971544 44967987 45373104 46633468 59957316 68059656 69950202 79943088 89935974 93266936 104925303 119914632 136119312 139900404 179871948 186533872 209850606 239829264 279800808 314775909 359743896 419701212 559601616 629551818 719487792 839402424 1259103636 1678804848 2518207272 5036414544