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85424466442458 = 231113937106256473
BaseRepresentation
bin10011011011000101101110…
…111110100011100011011010
3102012110111110221110120111110
4103123011232332203203122
542144043301402124313
6501403242542041150
723664466625114523
oct2333055676434332
9365414427416443
1085424466442458
1125245349328380
1296b7a00b791b6
1338886533968b0
1417147cda7784a
159d214697eec3
hex4db16efa38da

85424466442458 has 64 divisors (see below), whose sum is σ = 200931842385792. Its totient is φ = 23869453870080.

The previous prime is 85424466442439. The next prime is 85424466442459.

85424466442458 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is not an unprimeable number, because it can be changed into a prime (85424466442459) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52324291 + ... + 53932182.

It is an arithmetic number, because the mean of its divisors is an integer number (3139560037278).

Almost surely, 285424466442458 is an apocalyptic number.

85424466442458 is an abundant number, since it is smaller than the sum of its proper divisors (115507375943334).

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

85424466442458 is a wasteful number, since it uses less digits than its factorization.

85424466442458 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106257439.

The product of its digits is 943718400, while the sum is 66.

The spelling of 85424466442458 in words is "eighty-five trillion, four hundred twenty-four billion, four hundred sixty-six million, four hundred forty-two thousand, four hundred fifty-eight".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 143 286 429 858 937 1874 2811 5622 10307 12181 20614 24362 30921 36543 61842 73086 133991 267982 401973 803946 106256473 212512946 318769419 637538838 1168821203 1381334149 2337642406 2762668298 3506463609 4144002447 7012927218 8288004894 15194675639 30389351278 45584026917 91168053834 99562315201 199124630402 298686945603 597373891206 1095185467211 1294310097613 2190370934422 2588620195226 3285556401633 3882930292839 6571112803266 7765860585678 14237411073743 28474822147486 42712233221229 85424466442458