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4976824710 = 23511131796481
BaseRepresentation
bin1001010001010010…
…00101000110000110
3110211211202220001010
410220221011012012
540143031342320
62141502343050
7234221212014
oct45051050606
913754686033
104976824710
112124319080
12b6a88aa86
136141060c0
14352d8b8b4
151e1dc9ae0
hex128a45186

4976824710 has 128 divisors (see below), whose sum is σ = 14113128960. Its totient is φ = 1107302400.

The previous prime is 4976824703. The next prime is 4976824747. The reversal of 4976824710 is 174286794.

It is a super-3 number, since 3×49768247103 (a number of 30 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4976824710.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 764670 + ... + 771150.

It is an arithmetic number, because the mean of its divisors is an integer number (110258820).

Almost surely, 24976824710 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4976824710, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7056564480).

4976824710 is an abundant number, since it is smaller than the sum of its proper divisors (9136304250).

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

4976824710 is a wasteful number, since it uses less digits than its factorization.

4976824710 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6694.

The product of its (nonzero) digits is 677376, while the sum is 48.

The square root of 4976824710 is about 70546.6137387189. The cubic root of 4976824710 is about 1707.3299083786.

The spelling of 4976824710 in words is "four billion, nine hundred seventy-six million, eight hundred twenty-four thousand, seven hundred ten".

Divisors: 1 2 3 5 6 10 11 13 15 22 26 30 33 39 55 65 66 78 110 130 143 165 179 195 286 330 358 390 429 537 715 858 895 1074 1430 1790 1969 2145 2327 2685 3938 4290 4654 5370 5907 6481 6981 9845 11635 11814 12962 13962 19443 19690 23270 25597 29535 32405 34905 38886 51194 59070 64810 69810 71291 76791 84253 97215 127985 142582 153582 168506 194430 213873 252759 255970 356455 383955 421265 427746 505518 712910 767910 842530 926783 1069365 1160099 1263795 1853566 2138730 2320198 2527590 2780349 3480297 4633915 5560698 5800495 6960594 9267830 11600990 12761089 13901745 15081287 17401485 25522178 27803490 30162574 34802970 38283267 45243861 63805445 75406435 76566534 90487722 127610890 150812870 165894157 191416335 226219305 331788314 382832670 452438610 497682471 829470785 995364942 1658941570 2488412355 4976824710