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95440216356 = 223819072
BaseRepresentation
bin101100011100010101…
…1100010000100100100
3100010100101121100000000
41120320223202010210
53030430143410411
6111502235021300
76616045311432
oct1307053420444
9303311540000
1095440216356
1137526572171
12165b689a830
138cccc33604
144895631d52
152738c8c956
hex1638ae2124

95440216356 has 81 divisors (see below), whose sum is σ = 250649276059. Its totient is φ = 31796723016.

The previous prime is 95440216219. The next prime is 95440216357. The reversal of 95440216356 is 65361204459.

The square root of 95440216356 is 308934.

It is a perfect power (a square), and thus also a powerful number.

95440216356 is a `hidden beast` number, since 9 + 5 + 4 + 4 + 0 + 2 + 1 + 635 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (81).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (95440216357) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 50046355 + ... + 50048261.

Almost surely, 295440216356 is an apocalyptic number.

95440216356 is the 308934-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 95440216356

95440216356 is an abundant number, since it is smaller than the sum of its proper divisors (155209059703).

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

95440216356 is an frugal number, since it uses more digits than its factorization.

95440216356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3842 (or 1912 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 95440216356 in words is "ninety-five billion, four hundred forty million, two hundred sixteen thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 1907 2187 2916 3814 4374 5721 6561 7628 8748 11442 13122 17163 22884 26244 34326 51489 68652 102978 154467 205956 308934 463401 617868 926802 1390203 1853604 2780406 3636649 4170609 5560812 7273298 8341218 10909947 12511827 14546596 16682436 21819894 25023654 32729841 43639788 50047308 65459682 98189523 130919364 196379046 294568569 392758092 589137138 883705707 1178274276 1767411414 2651117121 3534822828 5302234242 7953351363 10604468484 15906702726 23860054089 31813405452 47720108178 95440216356