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85811464030338 = 2341943976684001
BaseRepresentation
bin10011100000101110001001…
…110101001100100010000010
3102020211111101110200222020000
4103200232021311030202002
542221413334242432323
6502301124203300430
724034450034253504
oct2340561165144202
9366744343628200
1085811464030338
112538448a388032
12975aa0581a716
1338b5ca8c9a347
141729423043d74
159dc246aebe43
hex4e0b89d4c882

85811464030338 has 160 divisors (see below), whose sum is σ = 209243484690240. Its totient is φ = 26195291136000.

The previous prime is 85811464030277. The next prime is 85811464030339. The reversal of 85811464030338 is 83303046411858.

85811464030338 is a `hidden beast` number, since 8 + 581 + 14 + 6 + 40 + 3 + 0 + 3 + 3 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (85811464030339) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 9496338 + ... + 16180338.

It is an arithmetic number, because the mean of its divisors is an integer number (1307771779314).

Almost surely, 285811464030338 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85811464030338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104621742345120).

85811464030338 is an abundant number, since it is smaller than the sum of its proper divisors (123432020659902).

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

85811464030338 is a wasteful number, since it uses less digits than its factorization.

85811464030338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6684174 (or 6684165 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 85811464030338 in words is "eighty-five trillion, eight hundred eleven billion, four hundred sixty-four million, thirty thousand, three hundred thirty-eight".

Divisors: 1 2 3 6 9 18 19 27 38 43 54 57 81 86 97 114 129 162 171 194 258 291 342 387 513 582 774 817 873 1026 1161 1539 1634 1746 1843 2322 2451 2619 3078 3483 3686 4171 4902 5238 5529 6966 7353 7857 8342 11058 12513 14706 15714 16587 22059 25026 33174 37539 44118 49761 66177 75078 79249 99522 112617 132354 149283 158498 225234 237747 298566 337851 475494 675702 713241 1426482 2139723 4279446 6419169 6684001 12838338 13368002 20052003 40104006 60156009 120312018 126996019 180468027 253992038 287412043 360936054 380988057 541404081 574824086 648348097 761976114 862236129 1082808162 1142964171 1296696194 1724472258 1945044291 2285928342 2586708387 3428892513 3890088582 5173416774 5460828817 5835132873 6857785026 7760125161 10286677539 10921657634 11670265746 12318613843 15520250322 16382486451 17505398619 20573355078 23280375483 24637227686 27878968171 32764972902 35010797238 36955841529 46560750966 49147459353 52516195857 55757936342 73911683058 83636904513 98294918706 105032391714 110867524587 147442378059 167273809026 221735049174 250910713539 294884756118 332602573761 442327134177 501821427078 529700395249 665205147522 752732140617 884654268354 997807721283 1059400790498 1505464281234 1589101185747 1995615442566 2258196421851 3178202371494 4516392843702 4767303557241 9534607114482 14301910671723 28603821343446 42905732015169 85811464030338