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5115863552 = 292921092
BaseRepresentation
bin1001100001110110…
…11110001000000000
3111012112101210110212
410300323132020000
540434130113202
62203350413252
7240530060042
oct46073361000
914175353425
105115863552
112195854008
12ba9361228
13636b67ac7
14367621a92
151ee1e1652
hex130ede200

5115863552 has 90 divisors (see below), whose sum is σ = 10684376703. Its totient is φ = 2447069184.

The previous prime is 5115863551. The next prime is 5115863561. The reversal of 5115863552 is 2553685115.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 3679150336 + 1436713216 = 60656^2 + 37904^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=50576.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5115863551) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 46934474 + ... + 46934582.

Almost surely, 25115863552 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 5115863552

5115863552 is an abundant number, since it is smaller than the sum of its proper divisors (5568513151).

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

5115863552 is an frugal number, since it uses more digits than its factorization.

5115863552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 140 counting only the distinct ones).

The product of its digits is 180000, while the sum is 41.

The square root of 5115863552 is about 71525.2651305817. The cubic root of 5115863552 is about 1723.0834755638.

Multiplying 5115863552 by its product of digits (180000), we get a square (920855439360000 = 303456002).

The spelling of 5115863552 in words is "five billion, one hundred fifteen million, eight hundred sixty-three thousand, five hundred fifty-two".

Divisors: 1 2 4 8 16 29 32 58 64 109 116 128 218 232 256 436 464 512 841 872 928 1682 1744 1856 3161 3364 3488 3712 6322 6728 6976 7424 11881 12644 13456 13952 14848 23762 25288 26912 27904 47524 50576 53824 55808 91669 95048 101152 107648 183338 190096 202304 215296 344549 366676 380192 404608 430592 689098 733352 760384 809216 1378196 1466704 1520768 1618432 2756392 2933408 3041536 5512784 5866816 6083072 9991921 11025568 11733632 19983842 22051136 23467264 39967684 44102272 46934528 79935368 88204544 159870736 176409088 319741472 639482944 1278965888 2557931776 5115863552