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5121657184 = 257217271709
BaseRepresentation
bin1001100010100011…
…00100100101100000
3111012221022010211211
410301101210211200
540442121012214
62204114515504
7240630240100
oct46121444540
914187263754
105121657184
112199050936
12bab295b94
13638115ba7
143682cd200
151ee9880c4
hex131464960

5121657184 has 144 divisors (see below), whose sum is σ = 12482890560. Its totient is φ = 2055352320.

The previous prime is 5121657127. The next prime is 5121657187. The reversal of 5121657184 is 4817561215.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5121657187) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7223422 + ... + 7224130.

It is an arithmetic number, because the mean of its divisors is an integer number (86686740).

Almost surely, 25121657184 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 5121657184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6241445280).

5121657184 is an abundant number, since it is smaller than the sum of its proper divisors (7361233376).

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

5121657184 is a wasteful number, since it uses less digits than its factorization.

5121657184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1021 (or 1006 counting only the distinct ones).

The product of its digits is 67200, while the sum is 40.

The square root of 5121657184 is about 71565.7542683650. The cubic root of 5121657184 is about 1723.7336848156.

The spelling of 5121657184 in words is "five billion, one hundred twenty-one million, six hundred fifty-seven thousand, one hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 49 56 68 98 112 119 136 196 224 238 271 272 392 476 542 544 709 784 833 952 1084 1418 1568 1666 1897 1904 2168 2836 3332 3794 3808 4336 4607 4963 5672 6664 7588 8672 9214 9926 11344 12053 13279 13328 15176 18428 19852 22688 24106 26558 26656 30352 32249 34741 36856 39704 48212 53116 60704 64498 69482 73712 79408 84371 96424 106232 128996 138964 147424 158816 168742 192139 192848 212464 225743 257992 277928 337484 384278 385696 424928 451486 515984 555856 590597 674968 768556 902972 1031968 1111712 1181194 1344973 1349936 1537112 1805944 2362388 2689946 2699872 3074224 3266363 3611888 4724776 5379892 6148448 6532726 7223776 9414811 9449552 10759784 13065452 18829622 18899104 21519568 22864541 26130904 37659244 43039136 45729082 52261808 75318488 91458164 104523616 150636976 160051787 182916328 301273952 320103574 365832656 640207148 731665312 1280414296 2560828592 5121657184