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45664228216880 = 2457138970478189
BaseRepresentation
bin10100110001000000010000…
…00110100001000000110000
312222200110100120121200010022
422120200020012201000300
521441130314410420010
6241041505024423012
712422063100353420
oct1230401006410060
9188613316550108
1045664228216880
11136060aa4010a9
125156049777a68
131c6316ca21590
14b3c236358480
15542c70d13d55
hex2988081a1030

45664228216880 has 160 divisors (see below), whose sum is σ = 132138148867200. Its totient is φ = 14289593573376.

The previous prime is 45664228216823. The next prime is 45664228216903. The reversal of 45664228216880 is 8861282246654.

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, 34591175 + ... + 35887014.

It is an arithmetic number, because the mean of its divisors is an integer number (825863430420).

Almost surely, 245664228216880 is an apocalyptic number.

45664228216880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45664228216880 is an abundant number, since it is smaller than the sum of its proper divisors (86473920650320).

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

45664228216880 is a wasteful number, since it uses less digits than its factorization.

45664228216880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70478311 (or 70478305 counting only the distinct ones).

The product of its (nonzero) digits is 70778880, while the sum is 62.

The spelling of 45664228216880 in words is "forty-five trillion, six hundred sixty-four billion, two hundred twenty-eight million, two hundred sixteen thousand, eight hundred eighty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 52 56 65 70 80 89 91 104 112 130 140 178 182 208 260 280 356 364 445 455 520 560 623 712 728 890 910 1040 1157 1246 1424 1456 1780 1820 2314 2492 3115 3560 3640 4628 4984 5785 6230 7120 7280 8099 9256 9968 11570 12460 16198 18512 23140 24920 32396 40495 46280 49840 64792 80990 92560 129584 161980 323960 647920 70478189 140956378 281912756 352390945 493347323 563825512 704781890 916216457 986694646 1127651024 1409563780 1832432914 1973389292 2466736615 2819127560 3664865828 3946778584 4581082285 4933473230 5638255120 6272558821 6413515199 7329731656 7893557168 9162164570 9866946460 12545117642 12827030398 14659463312 18324329140 19733892920 25090235284 25654060796 31362794105 32067575995 36648658280 39467785840 43907911747 50180470568 51308121592 62725588210 64135151990 73297316560 81543264673 87815823494 100360941136 102616243184 125451176420 128270303980 163086529346 175631646988 219539558735 250902352840 256540607960 326173058692 351263293976 407716323365 439079117470 501804705680 513081215920 570802852711 652346117384 702526587952 815432646730 878158234940 1141605705422 1304692234768 1630865293460 1756316469880 2283211410844 2854014263555 3261730586920 3512632939760 4566422821688 5708028527110 6523461173840 9132845643376 11416057054220 22832114108440 45664228216880