Search a number
-
+
4977158112 = 2532151193593
BaseRepresentation
bin1001010001010100…
…10110011111100000
3110211212101211101100
410220222112133200
540143123024422
62141513434400
7234224101023
oct45052263740
913755354340
104977158112
112124526613
12b6aa0ba00
136141c1a94
143530371ba
151e1e437ac
hex128a967e0

4977158112 has 144 divisors (see below), whose sum is σ = 14345499168. Its totient is φ = 1636761600.

The previous prime is 4977158101. The next prime is 4977158113. The reversal of 4977158112 is 2118517794.

It is a happy number.

4977158112 is a `hidden beast` number, since 497 + 7 + 158 + 1 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4977158113) 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, 8392888 + ... + 8393480.

It is an arithmetic number, because the mean of its divisors is an integer number (99621522).

Almost surely, 24977158112 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 4977158112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7172749584).

4977158112 is an abundant number, since it is smaller than the sum of its proper divisors (9368341056).

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

4977158112 is a wasteful number, since it uses less digits than its factorization.

4977158112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 953 (or 942 counting only the distinct ones).

The product of its digits is 141120, while the sum is 45.

The square root of 4977158112 is about 70548.9766899563. The cubic root of 4977158112 is about 1707.3680327201.

The spelling of 4977158112 in words is "four billion, nine hundred seventy-seven million, one hundred fifty-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 151 193 288 302 386 453 579 593 604 772 906 1158 1186 1208 1359 1544 1737 1779 1812 2316 2372 2416 2718 3088 3474 3558 3624 4632 4744 4832 5337 5436 6176 6948 7116 7248 9264 9488 10674 10872 13896 14232 14496 18528 18976 21348 21744 27792 28464 29143 42696 43488 55584 56928 58286 85392 87429 89543 114449 116572 170784 174858 179086 228898 233144 262287 268629 343347 349716 358172 457796 466288 524574 537258 686694 699432 716344 805887 915592 932576 1030041 1049148 1074516 1373388 1398864 1432688 1611774 1831184 2060082 2098296 2149032 2746776 2797728 2865376 3223548 3662368 4120164 4196592 4298064 5493552 6447096 8240328 8393184 8596128 10987104 12894192 16480656 17281799 25788384 32961312 34563598 51845397 69127196 103690794 138254392 155536191 207381588 276508784 311072382 414763176 553017568 622144764 829526352 1244289528 1659052704 2488579056 4977158112