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5604450516 = 22327471632903
BaseRepresentation
bin1010011100000110…
…10010000011010100
3112110120202120210100
411032003102003110
542434214404031
62324042454100
7255612020610
oct51603220324
915416676710
105604450516
112416625695
121104b04330
136b4155112
143b2486340
1522c052de6
hex14e0d20d4

5604450516 has 144 divisors (see below), whose sum is σ = 16642289664. Its totient is φ = 1557050688.

The previous prime is 5604450487. The next prime is 5604450521. The reversal of 5604450516 is 6150544065.

5604450516 is a `hidden beast` number, since 5 + 604 + 45 + 0 + 5 + 1 + 6 = 666.

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

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1929121 + ... + 1932023.

It is an arithmetic number, because the mean of its divisors is an integer number (115571456).

Almost surely, 25604450516 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 5604450516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8321144832).

5604450516 is an abundant number, since it is smaller than the sum of its proper divisors (11037839148).

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

5604450516 is a wasteful number, since it uses less digits than its factorization.

5604450516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3130 (or 3125 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 5604450516 is about 74862.8780905463. The cubic root of 5604450516 is about 1776.2783111751.

The spelling of 5604450516 in words is "five billion, six hundred four million, four hundred fifty thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 47 63 84 94 126 141 163 188 252 282 326 329 423 489 564 652 658 846 978 987 1141 1316 1467 1692 1956 1974 2282 2903 2934 2961 3423 3948 4564 5806 5868 5922 6846 7661 8709 10269 11612 11844 13692 15322 17418 20321 20538 22983 26127 30644 34836 40642 41076 45966 52254 53627 60963 68949 81284 91932 104508 107254 121926 136441 137898 160881 182889 214508 243852 272882 275796 321762 365778 409323 473189 482643 545764 643524 731556 818646 946378 955087 965286 1227969 1419567 1637292 1892756 1910174 1930572 2455938 2839134 2865261 3312323 3820348 4258701 4911876 5678268 5730522 6624646 8517402 8595783 9936969 11461044 13249292 17034804 17191566 19873938 22239883 29810907 34383132 39747876 44479766 59621814 66719649 88959532 119243628 133439298 155679181 200158947 266878596 311358362 400317894 467037543 622716724 800635788 934075086 1401112629 1868150172 2802225258 5604450516