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5059432980 = 22325718792137
BaseRepresentation
bin1001011011001000…
…01101001000010100
3111001121012211021200
410231210031020110
540330203323410
62154013112500
7236243320320
oct45544151024
914047184250
105059432980
112166a10978
12b92488730
1362826a734
1435dd32980
151e92963c0
hex12d90d214

5059432980 has 144 divisors (see below), whose sum is σ = 17556913920. Its totient is φ = 1155285504.

The previous prime is 5059432913. The next prime is 5059432999. The reversal of 5059432980 is 892349505.

5059432980 is a `hidden beast` number, since 50 + 594 + 3 + 2 + 9 + 8 + 0 = 666.

It is a super-2 number, since 2×50594329802 = 51195724158223360800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2366472 + ... + 2368608.

Almost surely, 25059432980 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 5059432980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8778456960).

5059432980 is an abundant number, since it is smaller than the sum of its proper divisors (12497480940).

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

5059432980 is a wasteful number, since it uses less digits than its factorization.

5059432980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4038 (or 4033 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 5059432980 is about 71129.6912688365. The cubic root of 5059432980 is about 1716.7245420314.

The spelling of 5059432980 in words is "five billion, fifty-nine million, four hundred thirty-two thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 1879 2137 3758 4274 5637 6411 7516 8548 9395 10685 11274 12822 13153 14959 16911 18790 19233 21370 22548 25644 26306 28185 29918 32055 33822 37580 38466 39459 42740 44877 52612 56370 59836 64110 65765 67644 74795 76932 78918 84555 89754 96165 112740 118377 128220 131530 134631 149590 157836 169110 179508 192330 197295 224385 236754 263060 269262 299180 338220 384660 394590 448770 473508 538524 591885 673155 789180 897540 1183770 1346310 2367540 2692620 4015423 8030846 12046269 16061692 20077115 24092538 28107961 36138807 40154230 48185076 56215922 60231345 72277614 80308460 84323883 112431844 120462690 140539805 144555228 168647766 180694035 240925380 252971649 281079610 337295532 361388070 421619415 505943298 562159220 722776140 843238830 1011886596 1264858245 1686477660 2529716490 5059432980