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5016035332 = 2272114759839
BaseRepresentation
bin1001010101111101…
…01010000000000100
3110221120112222220101
410222332222000010
540233101112312
62145423013444
7235205411500
oct45276520004
913846488811
105016035332
11214446a650
12b7ba3a284
1361c284559
14358277300
151e5572a57
hex12afaa004

5016035332 has 144 divisors (see below), whose sum is σ = 11583129600. Its totient is φ = 1878058560.

The previous prime is 5016035329. The next prime is 5016035369. The reversal of 5016035332 is 2335306105.

It is a super-2 number, since 2×50160353322 = 50321220903744700448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 5016035332.

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, 5978169 + ... + 5979007.

It is an arithmetic number, because the mean of its divisors is an integer number (80438400).

Almost surely, 25016035332 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 5016035332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5791564800).

5016035332 is an abundant number, since it is smaller than the sum of its proper divisors (6567094268).

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

5016035332 is a wasteful number, since it uses less digits than its factorization.

5016035332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 974 (or 965 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 28.

The square root of 5016035332 is about 70823.9742742526. The cubic root of 5016035332 is about 1711.8019981108.

The spelling of 5016035332 in words is "five billion, sixteen million, thirty-five thousand, three hundred thirty-two".

Divisors: 1 2 4 7 11 14 22 28 44 47 49 59 77 94 98 118 154 188 196 236 308 329 413 517 539 649 658 826 839 1034 1078 1298 1316 1652 1678 2068 2156 2303 2596 2773 2891 3356 3619 4543 4606 5546 5782 5873 7238 9086 9212 9229 11092 11564 11746 14476 18172 18458 19411 23492 25333 30503 31801 36916 38822 39433 41111 49501 50666 61006 63602 64603 77644 78866 82222 99002 101332 122012 127204 129206 135877 157732 164444 198004 213521 258412 271754 276031 346507 427042 433763 452221 543508 544511 552062 693014 854084 867526 904442 1089022 1104124 1386028 1494647 1735052 1808884 1932217 2178044 2326547 2425549 2989294 3036341 3811577 3864434 4653094 4851098 5978588 6072682 7623154 7728868 9306188 9702196 12145364 15246308 16285829 21254387 25592017 26681039 32571658 42508774 51184034 53362078 65143316 85017548 102368068 106724156 114000803 179144119 228001606 358288238 456003212 716576476 1254008833 2508017666 5016035332