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4980368736 = 253273179691
BaseRepresentation
bin1001010001101101…
…00110010101100000
3110212002102221112100
410220312212111200
540144433244421
62142110330400
7234263302320
oct45066462540
913762387470
104980368736
112126319822
12b6bab9a00
13614a77265
14353631280
151e2379c26
hex128da6560

4980368736 has 144 divisors (see below), whose sum is σ = 16708543488. Its totient is φ = 1377043200.

The previous prime is 4980368693. The next prime is 4980368753. The reversal of 4980368736 is 6378630894.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22651 + ... + 102341.

It is an arithmetic number, because the mean of its divisors is an integer number (116031552).

Almost surely, 24980368736 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 4980368736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8354271744).

4980368736 is an abundant number, since it is smaller than the sum of its proper divisors (11728174752).

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

4980368736 is a wasteful number, since it uses less digits than its factorization.

4980368736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79745 (or 79734 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The square root of 4980368736 is about 70571.7275968217. The cubic root of 4980368736 is about 1707.7350787587.

The spelling of 4980368736 in words is "four billion, nine hundred eighty million, three hundred sixty-eight thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 31 32 36 42 48 56 62 63 72 84 93 96 112 124 126 144 168 186 217 224 248 252 279 288 336 372 434 496 504 558 651 672 744 868 992 1008 1116 1302 1488 1736 1953 2016 2232 2604 2976 3472 3906 4464 5208 6944 7812 8928 10416 15624 20832 31248 62496 79691 159382 239073 318764 478146 557837 637528 717219 956292 1115674 1275056 1434438 1673511 1912584 2231348 2470421 2550112 2868876 3347022 3825168 4462696 4940842 5020533 5737752 6694044 7411263 7650336 8925392 9881684 10041066 11475504 13388088 14822526 17292947 17850784 19763368 20082132 22233789 22951008 26776176 29645052 34585894 39526736 40164264 44467578 51878841 53552352 59290104 69171788 79053472 80328528 88935156 103757682 118580208 138343576 155636523 160657056 177870312 207515364 237160416 276687152 311273046 355740624 415030728 553374304 622546092 711481248 830061456 1245092184 1660122912 2490184368 4980368736