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5077032320 = 275172916091
BaseRepresentation
bin1001011101001110…
…10101110110000000
3111002211022222001002
410232213111312000
540344210013240
62155442231132
7236546030333
oct45647256600
914084288032
105077032320
112175941588
12b983554a8
1362bac0249
143623d461a
151eaac0d15
hex12e9d5d80

5077032320 has 128 divisors (see below), whose sum is σ = 13295210400. Its totient is φ = 1845329920.

The previous prime is 5077032319. The next prime is 5077032329. The reversal of 5077032320 is 232307705.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5077032329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 307475 + ... + 323565.

Almost surely, 25077032320 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 5077032320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6647605200).

5077032320 is an abundant number, since it is smaller than the sum of its proper divisors (8218178080).

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

5077032320 is a wasteful number, since it uses less digits than its factorization.

5077032320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16156 (or 16144 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 29.

The square root of 5077032320 is about 71253.2969061783. The cubic root of 5077032320 is about 1718.7127921069.

The spelling of 5077032320 in words is "five billion, seventy-seven million, thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 29 32 34 40 58 64 68 80 85 116 128 136 145 160 170 232 272 290 320 340 464 493 544 580 640 680 928 986 1088 1160 1360 1856 1972 2176 2320 2465 2720 3712 3944 4640 4930 5440 7888 9280 9860 10880 15776 16091 18560 19720 31552 32182 39440 63104 64364 78880 80455 128728 157760 160910 257456 273547 315520 321820 466639 514912 547094 643640 933278 1029824 1094188 1287280 1367735 1866556 2059648 2188376 2333195 2574560 2735470 3733112 4376752 4666390 5149120 5470940 7466224 7932863 8753504 9332780 10298240 10941880 14932448 15865726 17507008 18665560 21883760 29864896 31731452 35014016 37331120 39664315 43767520 59729792 63462904 74662240 79328630 87535040 126925808 149324480 158657260 175070080 253851616 298648960 317314520 507703232 634629040 1015406464 1269258080 2538516160 5077032320