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85403843740080 = 24325199596062561
BaseRepresentation
bin10011011010110010100001…
…110001001100000110110000
3102012101112020201012202011200
4103122302201301030012300
542143224032444140310
6501345552330011200
723663136602046015
oct2332624161140660
9365345221182150
1085403843740080
1125237626354898
1296b3a06576b00
1338867179a4c18
1417137d4bb970c
159d183b20e9c0
hex4daca1c4c1b0

85403843740080 has 120 divisors (see below), whose sum is σ = 288255854983200. Its totient is φ = 22659914280960.

The previous prime is 85403843740073. The next prime is 85403843740081. The reversal of 85403843740080 is 8004734830458.

85403843740080 is a `hidden beast` number, since 8 + 54 + 0 + 3 + 84 + 37 + 400 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a junction number, because it is equal to n+sod(n) for n = 85403843739999 and 85403843740026.

It is not an unprimeable number, because it can be changed into a prime (85403843740081) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 297888001 + ... + 298174560.

It is an arithmetic number, because the mean of its divisors is an integer number (2402132124860).

Almost surely, 285403843740080 is an apocalyptic number.

85403843740080 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85403843740080 is an abundant number, since it is smaller than the sum of its proper divisors (202852011243120).

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

85403843740080 is a wasteful number, since it uses less digits than its factorization.

85403843740080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596062779 (or 596062770 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 54.

The spelling of 85403843740080 in words is "eighty-five trillion, four hundred three billion, eight hundred forty-three million, seven hundred forty thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 199 240 360 398 597 720 796 995 1194 1592 1791 1990 2388 2985 3184 3582 3980 4776 5970 7164 7960 8955 9552 11940 14328 15920 17910 23880 28656 35820 47760 71640 143280 596062561 1192125122 1788187683 2384250244 2980312805 3576375366 4768500488 5364563049 5960625610 7152750732 8940938415 9537000976 10729126098 11921251220 14305501464 17881876830 21458252196 23842502440 26822815245 28611002928 35763753660 42916504392 47685004880 53645630490 71527507320 85833008784 107291260980 118616449639 143055014640 214582521960 237232899278 355849348917 429165043920 474465798556 593082248195 711698697834 948931597112 1067548046751 1186164496390 1423397395668 1779246744585 1897863194224 2135096093502 2372328992780 2846794791336 3558493489170 4270192187004 4744657985560 5337740233755 5693589582672 7116986978340 8540384374008 9489315971120 10675480467510 14233973956680 17080768748016 21350960935020 28467947913360 42701921870040 85403843740080