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36246448225 = 521322921012
BaseRepresentation
bin100001110000011101…
…001110100001100001
310110120002002100110101
4201300131032201201
51043213042320400
624352411102401
72422135504111
oct416035164141
9113502070411
1036246448225
11144101a2039
127036a41a01
13355852ba00
141a7bc8b041
15e221e356a
hex87074e861

36246448225 has 81 divisors (see below), whose sum is σ = 50909008449. Its totient is φ = 25587744000.

The previous prime is 36246448223. The next prime is 36246448243. The reversal of 36246448225 is 52284464263.

It is a happy number.

The square root of 36246448225 is 190385.

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

It can be written as a sum of positive squares in 40 ways, for example, as 36026697249 + 219750976 = 189807^2 + 14824^2 .

It is not a de Polignac number, because 36246448225 - 21 = 36246448223 is a prime.

It is not an unprimeable number, because it can be changed into a prime (36246448223) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 358875675 + ... + 358875775.

Almost surely, 236246448225 is an apocalyptic number.

36246448225 is the 190385-th square number.

36246448225 is the 95193-rd centered octagonal number.

It is an amenable number.

36246448225 is a deficient number, since it is larger than the sum of its proper divisors (14662560224).

36246448225 is a wasteful number, since it uses less digits than its factorization.

36246448225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 148 counting only the distinct ones).

The product of its digits is 2211840, while the sum is 46.

The spelling of 36246448225 in words is "thirty-six billion, two hundred forty-six million, four hundred forty-eight thousand, two hundred twenty-five".

Divisors: 1 5 13 25 29 65 101 145 169 325 377 505 725 841 845 1313 1885 2525 2929 4205 4225 4901 6565 9425 10201 10933 14645 17069 21025 24505 32825 38077 51005 54665 73225 84941 85345 122525 132613 142129 190385 255025 273325 295829 424705 426725 495001 663065 710645 951925 1104233 1479145 1723969 2123525 2475005 3315325 3553225 3845777 5521165 7395725 8579041 8619845 12375025 14355029 19228885 27605825 42895205 43099225 49995101 71775145 96144425 111527533 214476025 249975505 358875725 557637665 1249877525 1449857929 2788188325 7249289645 36246448225