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5033444004 = 223442136901
BaseRepresentation
bin1001011000000010…
…00100001010100100
3110222210022110010000
410230001010022210
540302030202004
62151244101300
7235506365601
oct45401041244
913883273100
105033444004
11215327aa86
12b85834830
13622a6b344
1435a6c96a8
151e6d60c39
hex12c0442a4

5033444004 has 60 divisors (see below), whose sum is σ = 13190029468. Its totient is φ = 1673784000.

The previous prime is 5033443907. The next prime is 5033444027. The reversal of 5033444004 is 4004443305.

It can be written as a sum of positive squares in 2 ways, for example, as 54730404 + 4978713600 = 7398^2 + 70560^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 117954 + ... + 154854.

Almost surely, 25033444004 is an apocalyptic number.

5033444004 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 5033444004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6595014734).

5033444004 is an abundant number, since it is smaller than the sum of its proper divisors (8156585464).

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

5033444004 is a wasteful number, since it uses less digits than its factorization.

5033444004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37338 (or 37327 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

The square root of 5033444004 is about 70946.7688059153. The cubic root of 5033444004 is about 1713.7800404600.

Adding to 5033444004 its reverse (4004443305), we get a palindrome (9037887309).

The spelling of 5033444004 in words is "five billion, thirty-three million, four hundred forty-four thousand, four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 421 842 1263 1684 2526 3789 5052 7578 11367 15156 22734 34101 36901 45468 68202 73802 110703 136404 147604 221406 332109 442812 664218 996327 1328436 1992654 2988981 3985308 5977962 11955924 15535321 31070642 46605963 62141284 93211926 139817889 186423852 279635778 419453667 559271556 838907334 1258361001 1677814668 2516722002 5033444004