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5412632706 = 2341347149367
BaseRepresentation
bin1010000101001111…
…00011100010000010
3111222012211020020000
411002213203202002
542041113221311
62253031300430
7251062422165
oct50247434202
914865736200
105412632706
112328321078
12107081a716
136834a4160
14394bd3adc
1521a2b3056
hex1429e3882

5412632706 has 160 divisors (see below), whose sum is σ = 13465267200. Its totient is φ = 1614639744.

The previous prime is 5412632651. The next prime is 5412632707. The reversal of 5412632706 is 6072362145.

5412632706 is a `hidden beast` number, since 5 + 4 + 12 + 632 + 7 + 0 + 6 = 666.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (5412632707) 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 79 ways as a sum of consecutive naturals, for example, 14748135 + ... + 14748501.

It is an arithmetic number, because the mean of its divisors is an integer number (84157920).

Almost surely, 25412632706 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5412632706, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6732633600).

5412632706 is an abundant number, since it is smaller than the sum of its proper divisors (8052634494).

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

5412632706 is a wasteful number, since it uses less digits than its factorization.

5412632706 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 5412632706 is about 73570.5967489730. The cubic root of 5412632706 is about 1755.7776610564. Note that the first 3 decimals are identical.

The spelling of 5412632706 in words is "five billion, four hundred twelve million, six hundred thirty-two thousand, seven hundred six".

Divisors: 1 2 3 6 9 13 18 26 27 39 47 54 78 81 94 117 141 149 162 234 282 298 351 367 423 447 611 702 734 846 894 1053 1101 1222 1269 1341 1833 1937 2106 2202 2538 2682 3303 3666 3807 3874 4023 4771 5499 5811 6606 7003 7614 8046 9542 9909 10998 11622 12069 14006 14313 16497 17249 17433 19818 21009 24138 28626 29727 32994 34498 34866 42018 42939 49491 51747 52299 54683 59454 63027 85878 91039 98982 103494 104598 109366 126054 128817 155241 156897 164049 182078 189081 224237 257634 273117 310482 313794 328098 378162 386451 448474 465723 492147 546234 567243 672711 710879 772902 819351 931446 984294 1134486 1345422 1397169 1421758 1476441 1638702 2018133 2132637 2458053 2570101 2794338 2952882 4036266 4265274 4429323 4916106 5140202 6054399 6397911 7374159 7710303 8858646 12108798 12795822 14748318 15420606 18163197 19193733 23130909 33411313 36326394 38387466 46261818 57581199 66822626 69392727 100233939 115162398 138785454 200467878 208178181 300701817 416356362 601403634 902105451 1804210902 2706316353 5412632706