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5170573152 = 2532531392437
BaseRepresentation
bin1001101000011000…
…01010111101100000
3111100100100022221100
410310030022331200
541042131320102
62213023154400
7242063101203
oct46414127540
914310308840
105170573152
112213721158
121003745a00
136452b1a54
143709c393a
15203deba1c
hex13430af60

5170573152 has 144 divisors (see below), whose sum is σ = 15095218320. Its totient is φ = 1678150656.

The previous prime is 5170573087. The next prime is 5170573193. The reversal of 5170573152 is 2513750715.

It is a happy number.

5170573152 is a `hidden beast` number, since 5 + 1 + 70 + 573 + 15 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2120478 + ... + 2122914.

It is an arithmetic number, because the mean of its divisors is an integer number (104827905).

Almost surely, 25170573152 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 5170573152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7547609160).

5170573152 is an abundant number, since it is smaller than the sum of its proper divisors (9924645168).

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

5170573152 is a wasteful number, since it uses less digits than its factorization.

5170573152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2645 (or 2634 counting only the distinct ones).

The product of its (nonzero) digits is 36750, while the sum is 36.

The square root of 5170573152 is about 71906.6975461952. The cubic root of 5170573152 is about 1729.2039898820.

The spelling of 5170573152 in words is "five billion, one hundred seventy million, five hundred seventy-three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 53 72 96 106 139 144 159 212 278 288 318 417 424 477 556 636 834 848 954 1112 1251 1272 1668 1696 1908 2224 2437 2502 2544 3336 3816 4448 4874 5004 5088 6672 7311 7367 7632 9748 10008 13344 14622 14734 15264 19496 20016 21933 22101 29244 29468 38992 40032 43866 44202 58488 58936 66303 77984 87732 88404 116976 117872 129161 132606 175464 176808 233952 235744 258322 265212 338743 350928 353616 387483 516644 530424 677486 701856 707232 774966 1016229 1033288 1060848 1162449 1354972 1549932 2032458 2066576 2121696 2324898 2709944 3048687 3099864 4064916 4133152 4649796 5419888 6097374 6199728 8129832 9299592 10839776 12194748 12399456 16259664 17953379 18599184 24389496 32519328 35906758 37198368 48778992 53860137 71813516 97557984 107720274 143627032 161580411 215440548 287254064 323160822 430881096 574508128 646321644 861762192 1292643288 1723524384 2585286576 5170573152