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212011004800 = 2752721352111
BaseRepresentation
bin1100010101110011010…
…1110011001110000000
3202021020102002221121001
43011130311303032000
511433144304123200
6241221351341344
721213554543500
oct3053465631600
9667212087531
10212011004800
1181a05759951
123510a081854
1316cb98379ca
14a393365a00
1557acb6a76a
hex315cd73380

212011004800 has 144 divisors (see below), whose sum is σ = 609241385520. Its totient is φ = 72689433600.

The previous prime is 212011004791. The next prime is 212011004813. The reversal of 212011004800 is 8400110212.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 519256 + ... + 832855.

It is an arithmetic number, because the mean of its divisors is an integer number (4230842955).

Almost surely, 2212011004800 is an apocalyptic number.

212011004800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212011004800 is an abundant number, since it is smaller than the sum of its proper divisors (397230380720).

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

212011004800 is a wasteful number, since it uses less digits than its factorization.

212011004800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1352149 (or 1352125 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

The spelling of 212011004800 in words is "two hundred twelve billion, eleven million, four thousand, eight hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 49 50 56 64 70 80 98 100 112 128 140 160 175 196 200 224 245 280 320 350 392 400 448 490 560 640 700 784 800 896 980 1120 1225 1400 1568 1600 1960 2240 2450 2800 3136 3200 3920 4480 4900 5600 6272 7840 9800 11200 15680 19600 22400 31360 39200 78400 156800 1352111 2704222 5408444 6760555 9464777 10816888 13521110 18929554 21633776 27042220 33802775 37859108 43267552 47323885 54084440 66253439 67605550 75718216 86535104 94647770 108168880 132506878 135211100 151436432 173070208 189295540 216337760 236619425 265013756 270422200 302872864 331267195 378591080 432675520 473238850 530027512 540844400 605745728 662534390 757182160 865351040 946477700 1060055024 1081688800 1211491456 1325068780 1514364320 1656335975 1892955400 2120110048 2163377600 2650137560 3028728640 3312671950 3785910800 4240220096 4326755200 5300275120 6057457280 6625343900 7571821600 8480440192 10600550240 13250687800 15143643200 21201100480 26501375600 30287286400 42402200960 53002751200 106005502400 212011004800