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84452075760 = 24351368339631
BaseRepresentation
bin100111010100110111…
…1000110100011110000
322001222121110221210210
41032221233012203300
52340424212411020
6102444033024120
76046541541213
oct1165157064360
9261877427723
1084452075760
11328a7aa4538
121444a9b5040
137c6b5cbc80
14413216b77a
1522e42923e0
hex13a9bc68f0

84452075760 has 160 divisors (see below), whose sum is σ = 282359927808. Its totient is φ = 20757242880.

The previous prime is 84452075759. The next prime is 84452075777. The reversal of 84452075760 is 6757025448.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2111145 + ... + 2150775.

Almost surely, 284452075760 is an apocalyptic number.

84452075760 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 84452075760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141179963904).

84452075760 is an abundant number, since it is smaller than the sum of its proper divisors (197907852048).

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

84452075760 is a wasteful number, since it uses less digits than its factorization.

84452075760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40343 (or 40337 counting only the distinct ones).

The product of its (nonzero) digits is 1881600, while the sum is 48.

The spelling of 84452075760 in words is "eighty-four billion, four hundred fifty-two million, seventy-five thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 683 780 1040 1366 1560 2049 2732 3120 3415 4098 5464 6830 8196 8879 10245 10928 13660 16392 17758 20490 26637 27320 32784 35516 39631 40980 44395 53274 54640 71032 79262 81960 88790 106548 118893 133185 142064 158524 163920 177580 198155 213096 237786 266370 317048 355160 396310 426192 475572 515203 532740 594465 634096 710320 792620 951144 1030406 1065480 1188930 1545609 1585240 1902288 2060812 2130960 2377860 2576015 3091218 3170480 4121624 4755720 5152030 6182436 7728045 8243248 9511440 10304060 12364872 15456090 20608120 24729744 27067973 30912180 41216240 54135946 61824360 81203919 108271892 123648720 135339865 162407838 216543784 270679730 324815676 351883649 406019595 433087568 541359460 649631352 703767298 812039190 1055650947 1082718920 1299262704 1407534596 1624078380 1759418245 2111301894 2165437840 2815069192 3248156760 3518836490 4222603788 5278254735 5630138384 6496313520 7037672980 8445207576 10556509470 14075345960 16890415152 21113018940 28150691920 42226037880 84452075760