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95926647466225 = 5219213127872
BaseRepresentation
bin10101110011111010101001…
…101111110010100011110001
3110120122111102222220000201101
4111303322221233302203301
5100033130233222404400
6540004032105204401
726130320514654412
oct2563725157624361
9416574388800641
1095926647466225
1128624298768274
12a913288190701
13416aac8489094
141998c35927809
15b15413c2556a
hex573ea9bf28f1

95926647466225 has 81 divisors (see below), whose sum is σ = 126665593136811. Its totient is φ = 72055647986400.

The previous prime is 95926647466193. The next prime is 95926647466303. The reversal of 95926647466225 is 52266474662959.

The square root of 95926647466225 is 9794215.

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., 34533593087841 + 61393054378384 = 5876529^2 + 7835372^2 .

It is not a de Polignac number, because 95926647466225 - 25 = 95926647466193 is a prime.

It is a super-2 number, since 2×959266474662252 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 121889005282 + ... + 121889006068.

Almost surely, 295926647466225 is an apocalyptic number.

95926647466225 is a gapful number since it is divisible by the number (95) formed by its first and last digit.

95926647466225 is the 9794215-th square number.

95926647466225 is the 4897108-th centered octagonal number.

It is an amenable number.

95926647466225 is a deficient number, since it is larger than the sum of its proper divisors (30738945670586).

95926647466225 is an frugal number, since it uses more digits than its factorization.

95926647466225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1884 (or 942 counting only the distinct ones).

The product of its digits is 2351462400, while the sum is 73.

The spelling of 95926647466225 in words is "ninety-five trillion, nine hundred twenty-six billion, six hundred forty-seven million, four hundred sixty-six thousand, two hundred twenty-five".

Divisors: 1 5 19 25 95 131 361 475 655 787 1805 2489 3275 3935 9025 12445 14953 17161 19675 47291 62225 74765 85805 103097 236455 284107 326059 373825 429025 515485 619369 1182275 1420535 1630295 1958843 2577425 3096845 6195121 7102675 8151475 9794215 11768011 13505707 15484225 30975605 37218017 48971075 58840055 67528535 81137339 154878025 186090085 223592209 256608433 294200275 337642675 405686695 930450425 1117961045 1283042165 1541609441 2028433475 4875560227 5589805225 6415210825 7708047205 10628991409 24377801135 29290579379 38540236025 53144957045 121889005675 146452896895 201950836771 265724785225 732264484475 1009754183855 3837065898649 5048770919275 19185329493245 95926647466225