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95620438144 = 2771116975717
BaseRepresentation
bin101100100001101101…
…1000001100010000000
3100010210221201112211001
41121003123001202000
53031312313010034
6111532153501344
76623364212410
oct1310333014200
9303727645731
1095620438144
11376092764a0
1216647111854
13902b38441a
1448b1546640
1527499dba14
hex16436c1880

95620438144 has 128 divisors (see below), whose sum is σ = 237680334720. Its totient is φ = 37226250240.

The previous prime is 95620438139. The next prime is 95620438229. The reversal of 95620438144 is 44183402659.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 95620438094 and 95620438103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16722774 + ... + 16728490.

It is an arithmetic number, because the mean of its divisors is an integer number (1856877615).

Almost surely, 295620438144 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 95620438144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118840167360).

95620438144 is an abundant number, since it is smaller than the sum of its proper divisors (142059896576).

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

95620438144 is a wasteful number, since it uses less digits than its factorization.

95620438144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7446 (or 7434 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 46.

The spelling of 95620438144 in words is "ninety-five billion, six hundred twenty million, four hundred thirty-eight thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 154 176 224 308 352 448 616 704 896 1232 1408 1697 2464 3394 4928 5717 6788 9856 11434 11879 13576 18667 22868 23758 27152 37334 40019 45736 47516 54304 62887 74668 80038 91472 95032 108608 125774 130669 149336 160076 182944 190064 217216 251548 261338 298672 320152 365888 380128 440209 503096 522676 597344 640304 731776 760256 880418 1006192 1045352 1194688 1280608 1520512 1760836 2012384 2090704 2389376 2561216 3521672 4024768 4181408 5122432 7043344 8049536 8362816 9701749 14086688 16725632 19403498 28173376 38806996 56346752 67912243 77613992 106719239 135824486 155227984 213438478 271648972 310455968 426876956 543297944 620911936 747034673 853753912 1086595888 1241823872 1494069346 1707507824 2173191776 2988138692 3415015648 4346383552 5976277384 6830031296 8692767104 11952554768 13660062592 23905109536 47810219072 95620438144