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84254063652 = 223311227312427
BaseRepresentation
bin100111001110111101…
…1101111110000100100
322001110210212220021000
41032131323233300210
52340023020014102
6102412240553300
76041615503353
oct1163573576044
9261423786230
1084254063652
113280624a070
12143b4622830
137c3958c745
144113b4599a
1522d1bcc01c
hex139deefc24

84254063652 has 96 divisors (see below), whose sum is σ = 239344842240. Its totient is φ = 25418979360.

The previous prime is 84254063633. The next prime is 84254063671. The reversal of 84254063652 is 25636045248.

84254063652 is a `hidden beast` number, since 8 + 4 + 2 + 5 + 4 + 0 + 636 + 5 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (84254063633) and next prime (84254063671).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 84254063598 and 84254063607.

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, 113463 + ... + 425889.

It is an arithmetic number, because the mean of its divisors is an integer number (2493175440).

Almost surely, 284254063652 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 84254063652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119672421120).

84254063652 is an abundant number, since it is smaller than the sum of its proper divisors (155090778588).

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

84254063652 is a wasteful number, since it uses less digits than its factorization.

84254063652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312678 (or 312670 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 84254063652 in words is "eighty-four billion, two hundred fifty-four million, sixty-three thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 227 297 396 454 594 681 908 1188 1362 2043 2497 2724 4086 4994 6129 7491 8172 9988 12258 14982 22473 24516 29964 44946 67419 89892 134838 269676 312427 624854 937281 1249708 1874562 2811843 3436697 3749124 5623686 6873394 8435529 10310091 11247372 13746788 16871058 20620182 30930273 33742116 41240364 61860546 70920929 92790819 123721092 141841858 185581638 212762787 283683716 371163276 425525574 638288361 780130219 851051148 1276576722 1560260438 1914865083 2340390657 2553153444 3120520876 3829730166 4680781314 7021171971 7659460332 9361562628 14042343942 21063515913 28084687884 42127031826 84254063652