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95343585475216 = 2413219298832
BaseRepresentation
bin10101101011011011101000…
…100010110011101010010000
3110111120202110101212222110111
4111223123220202303222100
544444102130340201331
6534440123303211104
726040226633551661
oct2553335042635220
9414522411788414
1095343585475216
1128419a95442611
12a83a285a46a94
134127b27a28a00
141978923027368
15b0518add6db1
hex56b6e88b3a90

95343585475216 has 135 divisors (see below), whose sum is σ = 211134544568649. Its totient is φ = 41684475021696.

The previous prime is 95343585475211. The next prime is 95343585475223. The reversal of 95343585475216 is 61257458534359.

The square root of 95343585475216 is 9764404.

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

It can be written as a sum of positive squares in only one way, i.e., 14104080691600 + 81239504783616 = 3755540^2 + 9013296^2 .

It is not an unprimeable number, because it can be changed into a prime (95343585475211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 9647226211 + ... + 9647236093.

Almost surely, 295343585475216 is an apocalyptic number.

95343585475216 is the 9764404-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 95343585475216

95343585475216 is an abundant number, since it is smaller than the sum of its proper divisors (115790959093433).

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

95343585475216 is an frugal number, since it uses more digits than its factorization.

95343585475216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19838 (or 9917 counting only the distinct ones).

The product of its digits is 544320000, while the sum is 67.

The spelling of 95343585475216 in words is "ninety-five trillion, three hundred forty-three billion, five hundred eighty-five million, four hundred seventy-five thousand, two hundred sixteen".

Divisors: 1 2 4 8 13 16 19 26 38 52 76 104 152 169 208 247 304 338 361 494 676 722 988 1352 1444 1976 2704 2888 3211 3952 4693 5776 6422 9386 9883 12844 18772 19766 25688 37544 39532 51376 61009 75088 79064 122018 128479 158128 187777 244036 256958 375554 488072 513916 751108 976144 1027832 1502216 1670227 2055664 2441101 3004432 3340454 3567763 4882202 6680908 7135526 9764404 13361816 14271052 19528808 26723632 28542104 31734313 39057616 46380919 57084208 63468626 92761838 97673689 126937252 185523676 195347378 253874504 371047352 390694756 507749008 602951947 742094704 781389512 1205903894 1269757957 1562779024 1855800091 2411807788 2539515914 3711600182 4823615576 5079031828 7423200364 9647231152 10158063656 14846400728 16506853441 20316127312 24125401183 29692801456 33013706882 35260201729 48250802366 66027413764 70520403458 96501604732 132054827528 141040806916 193003209464 264109655056 282081613832 313630215379 386006418928 458382622477 564163227664 627260430758 916765244954 1254520861516 1833530489908 2509041723032 3667060979816 5018083446064 5958974092201 7334121959632 11917948184402 23835896368804 47671792737608 95343585475216