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83076571183225 = 5217215726832
BaseRepresentation
bin10010111000111011000101…
…100000111011100001111001
3101220011001011002022102201011
4102320323011200323201321
541342111304210330400
6452404503330153521
723333040610521604
oct2270730540734171
9356131132272634
1083076571183225
112451a6376a4124
1293989677228a1
133748119321859
141672cdb0b733b
1599102b6008ba
hex4b8ec583b879

83076571183225 has 81 divisors (see below), whose sum is σ = 110294041534887. Its totient is φ = 62062351802880.

The previous prime is 83076571183213. The next prime is 83076571183231. The reversal of 83076571183225 is 52238117567038.

The square root of 83076571183225 is 9114635.

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

It can be written as a sum of positive squares in 13 ways, for example, as 46490428555321 + 36586142627904 = 6818389^2 + 6048648^2 .

It is not a de Polignac number, because 83076571183225 - 219 = 83076570658937 is a prime.

It is a super-2 number, since 2×830765711832252 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 83076571183225.

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, 121634803734 + ... + 121634804416.

Almost surely, 283076571183225 is an apocalyptic number.

83076571183225 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

83076571183225 is the 9114635-th square number.

83076571183225 is the 4557318-th centered octagonal number.

It is an amenable number.

83076571183225 is a deficient number, since it is larger than the sum of its proper divisors (27217470351662).

83076571183225 is an frugal number, since it uses more digits than its factorization.

83076571183225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1724 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 16934400, while the sum is 58.

The spelling of 83076571183225 in words is "eighty-three trillion, seventy-six billion, five hundred seventy-one million, one hundred eighty-three thousand, two hundred twenty-five".

Divisors: 1 5 17 25 85 157 289 425 683 785 1445 2669 3415 3925 7225 11611 13345 17075 24649 45373 58055 66725 107231 123245 197387 226865 290275 419033 466489 536155 616225 986935 1134325 1822927 2095165 2332445 2680775 4934675 7123561 7930313 9114635 10475825 11662225 16835267 30989759 35617805 39651565 45573175 73238773 84176335 134815321 154948795 178089025 198257825 286199539 366193865 420881675 674076605 774743975 1245059141 1430997695 1830969325 3370383025 4865392163 6225295705 7154988475 11498487361 21166005397 24326960815 31126478525 57492436805 105830026985 121634804075 195474285137 287462184025 529150134925 977371425685 3323062847329 4886857128425 16615314236645 83076571183225