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5185609728 = 21331316231
BaseRepresentation
bin1001101010001011…
…00010000000000000
3111101101122021020120
410311011202000000
541110004002403
62214321340240
7242334645465
oct46505420000
914341567216
105185609728
112221161382
121008797680
13648447c30
143729b966c
152053bbe53
hex135162000

5185609728 has 112 divisors (see below), whose sum is σ = 14892015936. Its totient is φ = 1595473920.

The previous prime is 5185609703. The next prime is 5185609757. The reversal of 5185609728 is 8279065815.

It is a super-2 number, since 2×51856097282 = 53781096502256467968, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 311373 + ... + 327603.

It is an arithmetic number, because the mean of its divisors is an integer number (132964428).

Almost surely, 25185609728 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 5185609728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7446007968).

5185609728 is an abundant number, since it is smaller than the sum of its proper divisors (9706406208).

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

5185609728 is a wasteful number, since it uses less digits than its factorization.

5185609728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16273 (or 16249 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 51.

The square root of 5185609728 is about 72011.1777990056. The cubic root of 5185609728 is about 1730.8786039102.

The spelling of 5185609728 in words is "five billion, one hundred eighty-five million, six hundred nine thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 512 624 768 832 1024 1248 1536 1664 2048 2496 3072 3328 4096 4992 6144 6656 8192 9984 12288 13312 16231 19968 24576 26624 32462 39936 48693 53248 64924 79872 97386 106496 129848 159744 194772 211003 259696 319488 389544 422006 519392 633009 779088 844012 1038784 1266018 1558176 1688024 2077568 2532036 3116352 3376048 4155136 5064072 6232704 6752096 8310272 10128144 12465408 13504192 16620544 20256288 24930816 27008384 33241088 40512576 49861632 54016768 66482176 81025152 99723264 108033536 132964352 162050304 199446528 216067072 324100608 398893056 432134144 648201216 864268288 1296402432 1728536576 2592804864 5185609728