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5177384244 = 223611091601
BaseRepresentation
bin1001101001001100…
…01001110100110100
3111100211011101000000
410310212021310310
541100402243434
62213425151300
7242205016464
oct46446116464
914324141000
105177384244
11221755345a
121005a8b530
13646827c96
14371877ba4
152047e4b99
hex134989d34

5177384244 has 84 divisors (see below), whose sum is σ = 13605161220. Its totient is φ = 1723161600.

The previous prime is 5177384243. The next prime is 5177384287. The reversal of 5177384244 is 4424837715.

It can be written as a sum of positive squares in 2 ways, for example, as 2789107344 + 2388276900 = 52812^2 + 48870^2 .

It is a super-2 number, since 2×51773842442 = 53610615220038903072, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 5177384244.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5177384243) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 3233044 + ... + 3234644.

It is an arithmetic number, because the mean of its divisors is an integer number (161966205).

Almost surely, 25177384244 is an apocalyptic number.

5177384244 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 5177384244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6802580610).

5177384244 is an abundant number, since it is smaller than the sum of its proper divisors (8427776976).

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

5177384244 is a wasteful number, since it uses less digits than its factorization.

5177384244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2732 (or 2715 counting only the distinct ones).

The product of its digits is 752640, while the sum is 45.

The square root of 5177384244 is about 71954.0425827486. The cubic root of 5177384244 is about 1729.9629386071.

The spelling of 5177384244 in words is "five billion, one hundred seventy-seven million, three hundred eighty-four thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1109 1458 1601 2218 2916 3202 3327 4436 4803 6404 6654 9606 9981 13308 14409 19212 19962 28818 29943 39924 43227 57636 59886 86454 89829 119772 129681 172908 179658 259362 269487 359316 389043 518724 538974 778086 808461 1077948 1167129 1556172 1616922 1775509 2334258 3233844 3551018 4668516 5326527 7102036 10653054 15979581 21306108 31959162 47938743 63918324 95877486 143816229 191754972 287632458 431448687 575264916 862897374 1294346061 1725794748 2588692122 5177384244