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2753743975780 = 2257292131178537
BaseRepresentation
bin101000000100100111111…
…011100111010101100100
3100202020220011010002120111
4220010213323213111210
5330104131424211110
65505015202142404
7402644225405440
oct50044773472544
910666804102514
102753743975780
11971946758996
1238583b351a04
1316c8a5320cc5
14973d3831820
154b97047ae8a
hex28127ee7564

2753743975780 has 144 divisors (see below), whose sum is σ = 6897028634496. Its totient is φ = 904620487680.

The previous prime is 2753743975777. The next prime is 2753743975793. The reversal of 2753743975780 is 875793473572.

2753743975780 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15334672 + ... + 15513208.

It is an arithmetic number, because the mean of its divisors is an integer number (47896032184).

Almost surely, 22753743975780 is an apocalyptic number.

2753743975780 is a gapful number since it is divisible by the number (20) 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 2753743975780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3448514317248).

2753743975780 is an abundant number, since it is smaller than the sum of its proper divisors (4143284658716).

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

2753743975780 is a wasteful number, since it uses less digits than its factorization.

2753743975780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178742 (or 178711 counting only the distinct ones).

The product of its (nonzero) digits is 311169600, while the sum is 67.

The spelling of 2753743975780 in words is "two trillion, seven hundred fifty-three billion, seven hundred forty-three million, nine hundred seventy-five thousand, seven hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 58 70 116 131 140 145 203 262 290 406 524 580 655 812 841 917 1015 1310 1682 1834 2030 2620 3364 3668 3799 4060 4205 4585 5887 7598 8410 9170 11774 15196 16820 18340 18995 23548 26593 29435 37990 53186 58870 75980 106372 110171 117740 132965 178537 220342 265930 357074 440684 531860 550855 714148 771197 892685 1101710 1249759 1542394 1785370 2203420 2499518 3084788 3570740 3855985 4999036 5177573 6248795 7711970 10355146 12497590 15423940 20710292 23388347 24995180 25887865 36243011 46776694 51775730 72486022 93553388 103551460 116941735 144972044 150149617 163718429 181215055 233883470 300299234 327436858 362430110 467766940 600598468 654873716 678262063 724860220 750748085 818592145 1051047319 1356524126 1501496170 1637184290 2102094638 2713048252 3002992340 3274368580 3391310315 4204189276 4747834441 5255236595 6782620630 9495668882 10510473190 13565241260 18991337764 19669599827 21020946380 23739172205 39339199654 47478344410 78678399308 94956688820 98347999135 137687198789 196695998270 275374397578 393391996540 550748795156 688435993945 1376871987890 2753743975780