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8220869644240 = 245113109770379
BaseRepresentation
bin111011110100001001000…
…0000111100111111010000
31002002220111112120212020101
41313220102000330333100
52034142320112103430
625252340531022144
71505636546006131
oct167502200747720
932086445525211
108220869644240
11268a4a6662000
12b0931473a954
134782bc816746
14205c6c33dc88
15e3c9c687dca
hex77a1203cfd0

8220869644240 has 160 divisors (see below), whose sum is σ = 21042901560960. Its totient is φ = 2986639631360.

The previous prime is 8220869644223. The next prime is 8220869644249. The reversal of 8220869644240 is 424469680228.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8220869644249) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 116773371 + ... + 116843749.

It is an arithmetic number, because the mean of its divisors is an integer number (131518134756).

Almost surely, 28220869644240 is an apocalyptic number.

8220869644240 is a gapful number since it is divisible by the number (80) 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 8220869644240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10521450780480).

8220869644240 is an abundant number, since it is smaller than the sum of its proper divisors (12822031916720).

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

8220869644240 is a wasteful number, since it uses less digits than its factorization.

8220869644240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71522 (or 71494 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 55.

The spelling of 8220869644240 in words is "eight trillion, two hundred twenty billion, eight hundred sixty-nine million, six hundred forty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 121 176 220 242 440 484 605 880 968 1097 1210 1331 1936 2194 2420 2662 4388 4840 5324 5485 6655 8776 9680 10648 10970 12067 13310 17552 21296 21940 24134 26620 43880 48268 53240 60335 70379 87760 96536 106480 120670 132737 140758 193072 241340 265474 281516 351895 482680 530948 563032 663685 703790 774169 965360 1061896 1126064 1327370 1407580 1460107 1548338 2123792 2654740 2815160 2920214 3096676 3870845 5309480 5630320 5840428 6193352 7300535 7741690 8515859 10618960 11680856 12386704 14601070 15483380 17031718 23361712 29202140 30966760 34063436 42579295 58404280 61933520 68126872 77205763 85158590 93674449 116808560 136253744 154411526 170317180 187348898 308823052 340634360 374697796 386028815 468372245 617646104 681268720 749395592 772057630 849263393 936744490 1235292208 1498791184 1544115260 1698526786 1873488980 3088230520 3397053572 3746977960 4246316965 6176461040 6794107144 7493955920 8492633930 9341897323 13588214288 16985267860 18683794646 33970535720 37367589292 46709486615 67941071440 74735178584 93418973230 102760870553 149470357168 186837946460 205521741106 373675892920 411043482212 513804352765 747351785840 822086964424 1027608705530 1644173928848 2055217411060 4110434822120 8220869644240