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5761765680 = 2435115341179
BaseRepresentation
bin1010101110110110…
…11001000100110000
3112212112210000121220
411113123121010300
543300003000210
62351422345040
7262532125446
oct52733310460
915775700556
105761765680
112497403920
12114972b180
1370a915808
143c9316b96
1523ac79c70
hex1576d9130

5761765680 has 160 divisors (see below), whose sum is σ = 19853372160. Its totient is φ = 1370403840.

The previous prime is 5761765651. The next prime is 5761765699. The reversal of 5761765680 is 865671675.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 119331 + ... + 160509.

It is an arithmetic number, because the mean of its divisors is an integer number (124083576).

Almost surely, 25761765680 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 5761765680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9926686080).

5761765680 is an abundant number, since it is smaller than the sum of its proper divisors (14091606480).

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

5761765680 is a wasteful number, since it uses less digits than its factorization.

5761765680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41259 (or 41253 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 51.

The square root of 5761765680 is about 75906.2953910939. The cubic root of 5761765680 is about 1792.7450448808.

The spelling of 5761765680 in words is "five billion, seven hundred sixty-one million, seven hundred sixty-five thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 53 55 60 66 80 88 106 110 120 132 159 165 176 212 220 240 264 265 318 330 424 440 528 530 583 636 660 795 848 880 1060 1166 1272 1320 1590 1749 2120 2332 2544 2640 2915 3180 3498 4240 4664 5830 6360 6996 8745 9328 11660 12720 13992 17490 23320 27984 34980 41179 46640 69960 82358 123537 139920 164716 205895 247074 329432 411790 452969 494148 617685 658864 823580 905938 988296 1235370 1358907 1647160 1811876 1976592 2182487 2264845 2470740 2717814 3294320 3623752 4364974 4529690 4941480 5435628 6547461 6794535 7247504 8729948 9059380 9882960 10871256 10912435 13094922 13589070 17459896 18118760 21742512 21824870 24007357 26189844 27178140 32737305 34919792 36237520 43649740 48014714 52379688 54356280 65474610 72022071 87299480 96029428 104759376 108712560 120036785 130949220 144044142 174598960 192058856 240073570 261898440 288088284 360110355 384117712 480147140 523796880 576176568 720220710 960294280 1152353136 1440441420 1920588560 2880882840 5761765680