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5011616120 = 235725234889
BaseRepresentation
bin1001010101011011…
…10011000101111000
3110221021020110212212
410222231303011320
540230433203440
62145144154252
7235123014500
oct45255630570
913837213785
105011616120
112141a21405
12b7a468988
1361b397c34
14357846a00
151e4e9d465
hex12ab73178

5011616120 has 96 divisors (see below), whose sum is σ = 13144906800. Its totient is φ = 1714632192.

The previous prime is 5011616117. The next prime is 5011616131. The reversal of 5011616120 is 216161105.

It is a super-2 number, since 2×50116161202 = 50232592268487708800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1022636 + ... + 1027524.

Almost surely, 25011616120 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 5011616120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6572453400).

5011616120 is an abundant number, since it is smaller than the sum of its proper divisors (8133290680).

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

5011616120 is a wasteful number, since it uses less digits than its factorization.

5011616120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5437 (or 5426 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 23.

The square root of 5011616120 is about 70792.7688397622. The cubic root of 5011616120 is about 1711.2991415653.

Adding to 5011616120 its reverse (216161105), we get a palindrome (5227777225).

The spelling of 5011616120 in words is "five billion, eleven million, six hundred sixteen thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 523 980 1046 1960 2092 2615 3661 4184 4889 5230 7322 9778 10460 14644 18305 19556 20920 24445 25627 29288 34223 36610 39112 48890 51254 68446 73220 97780 102508 128135 136892 146440 171115 195560 205016 239561 256270 273784 342230 479122 512540 684460 958244 1025080 1197805 1368920 1916488 2395610 2556947 4791220 5113894 9582440 10227788 12784735 17898629 20455576 25569470 35797258 51138940 71594516 89493145 102277880 125290403 143189032 178986290 250580806 357972580 501161612 626452015 715945160 1002323224 1252904030 2505808060 5011616120