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4998779760 = 2435133151683
BaseRepresentation
bin1001010011111001…
…10101001101110000
3110220101002022201010
410221330311031300
540214141423020
62144005110520
7234605632632
oct45174651560
913811068633
104998779760
112135754247
12b760b8440
13618822360
14355c64a52
151e3cb4de0
hex129f35370

4998779760 has 160 divisors (see below), whose sum is σ = 17226897408. Its totient is φ = 1190753280.

The previous prime is 4998779701. The next prime is 4998779761. The reversal of 4998779760 is 679778994.

It is a junction number, because it is equal to n+sod(n) for n = 4998779691 and 4998779700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4998779761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70879 + ... + 122561.

Almost surely, 24998779760 is an apocalyptic number.

4998779760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4998779760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8613448704).

4998779760 is an abundant number, since it is smaller than the sum of its proper divisors (12228117648).

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

4998779760 is a wasteful number, since it uses less digits than its factorization.

4998779760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51743 (or 51737 counting only the distinct ones).

The product of its (nonzero) digits is 48009024, while the sum is 66.

The square root of 4998779760 is about 70702.0491923678. The cubic root of 4998779760 is about 1709.8368299558.

The spelling of 4998779760 in words is "four billion, nine hundred ninety-eight million, seven hundred seventy-nine thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 31 39 40 48 52 60 62 65 78 80 93 104 120 124 130 155 156 186 195 208 240 248 260 310 312 372 390 403 465 496 520 620 624 744 780 806 930 1040 1209 1240 1488 1560 1612 1860 2015 2418 2480 3120 3224 3720 4030 4836 6045 6448 7440 8060 9672 12090 16120 19344 24180 32240 48360 51683 96720 103366 155049 206732 258415 310098 413464 516830 620196 671879 775245 826928 1033660 1240392 1343758 1550490 1602173 2015637 2067320 2480784 2687516 3100980 3204346 3359395 4031274 4134640 4806519 5375032 6201960 6408692 6718790 8010865 8062548 9613038 10078185 10750064 12403920 12817384 13437580 16021730 16125096 19226076 20156370 20828249 24032595 25634768 26875160 32043460 32250192 38452152 40312740 41656498 48065190 53750320 62484747 64086920 76904304 80625480 83312996 96130380 104141245 124969494 128173840 161250960 166625992 192260760 208282490 249938988 312423735 333251984 384521520 416564980 499877976 624847470 833129960 999755952 1249694940 1666259920 2499389880 4998779760