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5073005168 = 2471119316991
BaseRepresentation
bin1001011100101111…
…11110101001110000
3111002112202100211022
410232113332221300
540342142131133
62155220035012
7236466555350
oct45627765160
914075670738
105073005168
112173640960
12b96b32a68
1362b01020a
14361a66b60
151ea577998
hex12e5fea70

5073005168 has 160 divisors (see below), whose sum is σ = 13317242880. Its totient is φ = 1811808000.

The previous prime is 5073005129. The next prime is 5073005191. The reversal of 5073005168 is 8615003705.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 722153 + ... + 729143.

It is an arithmetic number, because the mean of its divisors is an integer number (83232768).

Almost surely, 25073005168 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 5073005168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6658621440).

5073005168 is an abundant number, since it is smaller than the sum of its proper divisors (8244237712).

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

5073005168 is a wasteful number, since it uses less digits than its factorization.

5073005168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7067 (or 7061 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 35.

The square root of 5073005168 is about 71225.0318918848. The cubic root of 5073005168 is about 1718.2582386000.

The spelling of 5073005168 in words is "five billion, seventy-three million, five thousand, one hundred sixty-eight".

Divisors: 1 2 4 7 8 11 14 16 19 22 28 31 38 44 56 62 76 77 88 112 124 133 152 154 176 209 217 248 266 304 308 341 418 434 496 532 589 616 682 836 868 1064 1178 1232 1364 1463 1672 1736 2128 2356 2387 2728 2926 3344 3472 4123 4712 4774 5456 5852 6479 6991 8246 9424 9548 11704 12958 13982 16492 19096 23408 25916 27964 32984 38192 45353 48937 51832 55928 65968 76901 90706 97874 103664 111856 132829 153802 181412 195748 216721 265658 307604 362824 391496 433442 531316 538307 615208 725648 782992 866884 929803 1062632 1076614 1230416 1461119 1517047 1733768 1859606 2125264 2153228 2383931 2922238 3034094 3467536 3719212 4117699 4306456 4767862 5844476 6068188 7438424 8235398 8612912 9535724 10227833 11688952 12136376 14876848 16470796 16687517 19071448 20455666 23377904 24272752 28823893 32941592 33375034 38142896 40911332 45294689 57647786 65883184 66750068 81822664 90589378 115295572 133500136 163645328 181178756 230591144 267000272 317062823 362357512 461182288 634125646 724715024 1268251292 2536502584 5073005168