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84471674320 = 245113110932833
BaseRepresentation
bin100111010101011100…
…1110111010111010000
322002000222100122222101
41032222321313113100
52340444222034240
6102450013050144
76050200245655
oct1165271672720
9262028318871
1084471674320
11329080701a0
1214455486954
137c726a1757
1441349cdc2c
1522e5d6439a
hex13aae775d0

84471674320 has 160 divisors (see below), whose sum is σ = 221442683904. Its totient is φ = 29688422400.

The previous prime is 84471674281. The next prime is 84471674321. The reversal of 84471674320 is 2347617448.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84471674321) 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, 29815624 + ... + 29818456.

Almost surely, 284471674320 is an apocalyptic number.

84471674320 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 84471674320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110721341952).

84471674320 is an abundant number, since it is smaller than the sum of its proper divisors (136971009584).

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

84471674320 is a wasteful number, since it uses less digits than its factorization.

84471674320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3981 (or 3975 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 46.

The spelling of 84471674320 in words is "eighty-four billion, four hundred seventy-one million, six hundred seventy-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 31 40 44 55 62 80 88 110 124 155 176 220 248 310 341 440 496 620 682 880 1093 1240 1364 1705 2186 2480 2728 2833 3410 4372 5456 5465 5666 6820 8744 10930 11332 12023 13640 14165 17488 21860 22664 24046 27280 28330 31163 33883 43720 45328 48092 56660 60115 62326 67766 87440 87823 96184 113320 120230 124652 135532 155815 169415 175646 192368 226640 240460 249304 271064 311630 338830 351292 372713 439115 480920 498608 542128 623260 677660 702584 745426 878230 961840 966053 1246520 1355320 1405168 1490852 1756460 1863565 1932106 2493040 2710640 2981704 3096469 3512920 3727130 3864212 4830265 5963408 6192938 7025840 7454260 7728424 9660530 12385876 14908520 15456848 15482345 19321060 24771752 29817040 30964690 34061159 38642120 49543504 61929380 68122318 77284240 95990539 123858760 136244636 170305795 191981078 247717520 272489272 340611590 383962156 479952695 544978544 681223180 767924312 959905390 1055895929 1362446360 1535848624 1919810780 2111791858 2724892720 3839621560 4223583716 5279479645 7679243120 8447167432 10558959290 16894334864 21117918580 42235837160 84471674320