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820171057704 = 2334310710876833
BaseRepresentation
bin10111110111101100000…
…00010010101000101000
32220102000010112122021220
423323312000102220220
5101414202242321304
61424440440102040
7113153413651305
oct13736600225050
92812003478256
10820171057704
112969181a8a19
12112b55764920
135c459c16b8b
142b9a72580ac
151650409bad9
hexbef6012a28

820171057704 has 128 divisors (see below), whose sum is σ = 2119978967040. Its totient is φ = 264254764032.

The previous prime is 820171057703. The next prime is 820171057799. The reversal of 820171057704 is 407750171028.

It is not an unprimeable number, because it can be changed into a prime (820171057703) 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, 120027472 + ... + 120034304.

It is an arithmetic number, because the mean of its divisors is an integer number (16562335680).

Almost surely, 2820171057704 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 820171057704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1059989483520).

820171057704 is an abundant number, since it is smaller than the sum of its proper divisors (1299807909336).

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

820171057704 is a wasteful number, since it uses less digits than its factorization.

820171057704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8079 (or 8075 counting only the distinct ones).

The product of its (nonzero) digits is 109760, while the sum is 42.

The spelling of 820171057704 in words is "eight hundred twenty billion, one hundred seventy-one million, fifty-seven thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 24 43 86 107 129 172 214 258 321 344 428 516 642 856 1032 1087 1284 2174 2568 3261 4348 4601 6522 6833 8696 9202 13044 13666 13803 18404 20499 26088 27332 27606 36808 40998 46741 54664 55212 81996 93482 110424 116309 140223 163992 186964 232618 280446 293819 348927 373928 465236 560892 587638 697854 731131 881457 930472 1121784 1175276 1395708 1462262 1762914 2193393 2350552 2791416 2924524 3525828 4386786 5001287 5849048 7051656 7427471 8773572 10002574 14854942 15003861 17547144 20005148 22282413 29709884 30007722 31438633 40010296 44564826 59419768 60015444 62877266 89129652 94315899 120030888 125754532 178259304 188631798 251509064 319381253 377263596 638762506 754527192 794739397 958143759 1277525012 1589478794 1916287518 2384218191 2555050024 3178957588 3832575036 4768436382 6357915176 7665150072 9536872764 19073745528 34173794071 68347588142 102521382213 136695176284 205042764426 273390352568 410085528852 820171057704