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5073323616 = 253267467563
BaseRepresentation
bin1001011100110010…
…01100011001100000
3111002120100112122200
410232121030121200
540342232323431
62155230533200
7236502352644
oct45631143140
914076315580
105073323616
112173839139
12b97067200
1362b0c214a
14361b0ac24
151ea5dbee6
hex12e64c660

5073323616 has 144 divisors (see below), whose sum is σ = 14700014784. Its totient is φ = 1659347712.

The previous prime is 5073323527. The next prime is 5073323669. The reversal of 5073323616 is 6163233705.

5073323616 is a `hidden beast` number, since 5 + 0 + 7 + 3 + 32 + 3 + 616 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×50733236162 = 51477225025326630912, which contains 22 as substring.

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9010951 + ... + 9011513.

It is an arithmetic number, because the mean of its divisors is an integer number (102083436).

Almost surely, 25073323616 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 5073323616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7350007392).

5073323616 is an abundant number, since it is smaller than the sum of its proper divisors (9626691168).

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

5073323616 is a wasteful number, since it uses less digits than its factorization.

5073323616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1113 (or 1102 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 36.

The square root of 5073323616 is about 71227.2673629980. The cubic root of 5073323616 is about 1718.2941912837.

The spelling of 5073323616 in words is "five billion, seventy-three million, three hundred twenty-three thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 67 72 96 134 144 201 268 288 402 467 536 563 603 804 934 1072 1126 1206 1401 1608 1689 1868 2144 2252 2412 2802 3216 3378 3736 4203 4504 4824 5067 5604 6432 6756 7472 8406 9008 9648 10134 11208 13512 14944 16812 18016 19296 20268 22416 27024 31289 33624 37721 40536 44832 54048 62578 67248 75442 81072 93867 113163 125156 134496 150884 162144 187734 226326 250312 262921 281601 301768 339489 375468 452652 500624 525842 563202 603536 678978 750936 788763 905304 1001248 1051684 1126404 1207072 1357956 1501872 1577526 1810608 2103368 2252808 2366289 2715912 3003744 3155052 3621216 4206736 4505616 4732578 5431824 6310104 8413472 9011232 9465156 10863648 12620208 17615707 18930312 25240416 35231414 37860624 52847121 70462828 75721248 105694242 140925656 158541363 211388484 281851312 317082726 422776968 563702624 634165452 845553936 1268330904 1691107872 2536661808 5073323616