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85191342583711 = 7313231391912097
BaseRepresentation
bin10011010111101100100111…
…101101100110111110011111
3102011122012202010210112000211
4103113230213231212332133
542131233332200134321
6501104210144433251
723641604613034000
oct2327544755467637
9364565663715024
1085191342583711
1125165499a55901
12967a7a0318827
13386c680752a00
1417073d67031a7
159cb0505240e1
hex4d7b27b66f9f

85191342583711 has 96 divisors (see below), whose sum is σ = 111086352384000. Its totient is φ = 65207776757760.

The previous prime is 85191342583691. The next prime is 85191342583729. The reversal of 85191342583711 is 11738524319158.

It is not a de Polignac number, because 85191342583711 - 25 = 85191342583679 is a prime.

It is a super-2 number, since 2×851913425837112 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85191342583741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7042346815 + ... + 7042358911.

It is an arithmetic number, because the mean of its divisors is an integer number (1157149504000).

Almost surely, 285191342583711 is an apocalyptic number.

85191342583711 is a deficient number, since it is larger than the sum of its proper divisors (25895009800289).

85191342583711 is a wasteful number, since it uses less digits than its factorization.

85191342583711 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16094 (or 16067 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 58.

The spelling of 85191342583711 in words is "eighty-five trillion, one hundred ninety-one billion, three hundred forty-two million, five hundred eighty-three thousand, seven hundred eleven".

Divisors: 1 7 13 31 49 91 169 217 343 403 637 1183 1519 2821 3919 4459 5239 8281 10633 12097 19747 27433 36673 50947 57967 84679 121489 138229 157261 192031 256711 356629 375007 592753 662311 850423 1100827 1344217 1579357 1796977 2044393 2496403 2625049 4149271 4636177 4875091 5952961 7705789 11055499 14310751 17474821 18375343 20531641 32453239 34125637 41670727 47408143 53940523 63376183 77388493 100175257 128627401 143721487 227172673 238879459 331857001 443633281 541719451 616305859 701226799 1006050409 1469652433 1672156213 2322999007 3105432967 4314141013 7042352863 8011976167 10287567031 16260993049 19105481629 21738030769 30198987091 56083833169 72012969217 133738371403 211392909637 248371261177 392586832183 504090784519 936168599821 1738598828239 2748107825281 6553180198747 12170191797673 85191342583711