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85031676162492 = 223171396534592219
BaseRepresentation
bin10011010101010111111010…
…110110100011000110111100
3102011001221121201020221002120
4103111113322312203012330
542121124333044144432
6500503002431122540
723624223126612453
oct2325277266430674
9364057551227076
1085031676162492
1125103805471394
129653860373450
13385a5b663caa7
1416dd7ab223b9a
159c6d07ec9c2c
hex4d55fada31bc

85031676162492 has 96 divisors (see below), whose sum is σ = 211913686252800. Its totient is φ = 26444122033152.

The previous prime is 85031676162473. The next prime is 85031676162529. The reversal of 85031676162492 is 29426167613058.

It is a happy number.

85031676162492 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 16220359 + ... + 20812577.

It is an arithmetic number, because the mean of its divisors is an integer number (2207434231800).

It is a 2-persistent number, because it is pandigital, and so is 2⋅85031676162492 = 170063352324984, but 3⋅85031676162492 = 255095028487476 is not.

Almost surely, 285031676162492 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 85031676162492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105956843126400).

85031676162492 is an abundant number, since it is smaller than the sum of its proper divisors (126882010090308).

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

85031676162492 is a wasteful number, since it uses less digits than its factorization.

85031676162492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4593035 (or 4593033 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 60.

The spelling of 85031676162492 in words is "eighty-five trillion, thirty-one billion, six hundred seventy-six million, one hundred sixty-two thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 139 204 278 417 556 653 834 1306 1668 1959 2363 2612 3918 4726 7089 7836 9452 11101 14178 22202 28356 33303 44404 66606 90767 133212 181534 272301 363068 544602 1089204 1543039 3086078 4592219 4629117 6172156 9184438 9258234 13776657 18368876 18516468 27553314 55106628 78067723 156135446 234203169 312270892 468406338 638318441 936812676 1276636882 1914955323 2553273764 2998719007 3829910646 5997438014 7659821292 8996157021 10851413497 11994876028 17992314042 21702826994 32554240491 35984628084 43405653988 50978223119 65108480982 101956446238 130216961964 152934669357 203912892476 305869338714 416821941973 611738677428 833643883946 1250465825919 1667287767892 2500931651838 5001863303676 7085973013541 14171946027082 21257919040623 28343892054164 42515838081246 85031676162492