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84289911825 = 3527233725099
BaseRepresentation
bin100111010000000010…
…0011111110000010001
322001120022100011201010
41032200010133300101
52340111204134300
6102420001201133
76042532300110
oct1164004376021
9261508304633
1084289911825
1132824504359
12144046301a9
137c43b31592
1441187d7c77
1522d4e0da50
hex13a011fc11

84289911825 has 144 divisors (see below), whose sum is σ = 170839065600. Its totient is φ = 35854030080.

The previous prime is 84289911817. The next prime is 84289911833. The reversal of 84289911825 is 52811998248.

It is an interprime number because it is at equal distance from previous prime (84289911817) and next prime (84289911833).

It is not a de Polignac number, because 84289911825 - 23 = 84289911817 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 16528126 + ... + 16533224.

It is an arithmetic number, because the mean of its divisors is an integer number (1186382400).

Almost surely, 284289911825 is an apocalyptic number.

It is an amenable number.

84289911825 is an abundant number, since it is smaller than the sum of its proper divisors (86549153775).

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

84289911825 is a wasteful number, since it uses less digits than its factorization.

84289911825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5216 (or 5174 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 57.

The spelling of 84289911825 in words is "eighty-four billion, two hundred eighty-nine million, nine hundred eleven thousand, eight hundred twenty-five".

Divisors: 1 3 5 7 15 21 23 25 35 37 69 75 105 111 115 161 175 185 259 345 483 525 555 575 777 805 851 925 1295 1369 1725 2415 2553 2775 3885 4025 4107 4255 5099 5957 6475 6845 9583 12075 12765 15297 17871 19425 20535 21275 25495 28749 29785 31487 34225 35693 47915 63825 76485 89355 94461 102675 107079 117277 127475 143745 148925 157435 178465 188663 220409 239575 351831 382425 446775 472305 535395 565989 586385 661227 718725 787175 820939 892325 943315 1102045 1320641 1759155 2361525 2462817 2676975 2829945 2931925 3306135 3961923 4104695 4339249 4716575 5510225 6603205 6980531 8795775 12314085 13017747 14149725 16530675 19809615 20523475 20941593 21696245 30374743 33016025 34902655 48863717 61570425 65088735 91124229 99048075 104707965 108481225 146591151 151873715 160552213 174513275 244318585 325443675 455621145 481656639 523539825 732955755 759368575 802761065 1123865491 1221592925 2278105725 2408283195 3371596473 3664778775 4013805325 5619327455 12041415975 16857982365 28096637275 84289911825