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85179904695704 = 23713521757296669
BaseRepresentation
bin10011010111100001111101…
…111101100001110110011000
3102011121010020000101121101002
4103113201331331201312120
542131041421100230304
6501055035155044132
723641021305425510
oct2327417575416630
9364533200347332
1085179904695704
112516065a6242a5
1296785298a0648
13386b579bac640
141706a2d608840
159caad12da31e
hex4d787df61d98

85179904695704 has 128 divisors (see below), whose sum is σ = 197207134185600. Its totient is φ = 33588323758080.

The previous prime is 85179904695679. The next prime is 85179904695733. The reversal of 85179904695704 is 40759640997158.

It is a congruent number.

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, 286972682 + ... + 287269350.

It is an arithmetic number, because the mean of its divisors is an integer number (1540680735825).

Almost surely, 285179904695704 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 85179904695704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98603567092800).

85179904695704 is an abundant number, since it is smaller than the sum of its proper divisors (112027229489896).

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

85179904695704 is a wasteful number, since it uses less digits than its factorization.

85179904695704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297973 (or 297969 counting only the distinct ones).

The product of its (nonzero) digits is 685843200, while the sum is 74.

The spelling of 85179904695704 in words is "eighty-five trillion, one hundred seventy-nine billion, nine hundred four million, six hundred ninety-five thousand, seven hundred four".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 182 364 521 728 757 1042 1514 2084 3028 3647 4168 5299 6056 6773 7294 9841 10598 13546 14588 19682 21196 27092 29176 39364 42392 47411 54184 68887 78728 94822 137774 189644 275548 296669 379288 394397 551096 593338 788794 1186676 1577588 2076683 2373352 2760779 3155176 3856697 4153366 5127161 5521558 7713394 8306732 10254322 11043116 15426788 16613464 20508644 22086232 26996879 30853576 35890127 41017288 53993758 71780254 107987516 143560508 154564549 215975032 224578433 287121016 309129098 449156866 618258196 898313732 1081951843 1236516392 1572049031 1796627464 2009339137 2163903686 2919519629 3144098062 4018678274 4327807372 5839039258 6288196124 8037356548 8655614744 11678078516 12576392248 14065373959 16074713096 20436637403 23356157032 28130747918 40873274806 56261495836 81746549612 112522991672 117005363593 163493099224 234010727186 468021454372 819037545151 936042908744 1521069726709 1638075090302 3042139453418 3276150180604 6084278906836 6552300361208 10647488086963 12168557813672 21294976173926 42589952347852 85179904695704