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146050087225 = 52726121792
BaseRepresentation
bin1000100000000101000…
…0110111100100111001
3111221222111000011011211
42020001100313210321
54343102310242400
6151032224123121
713360154154400
oct2100120674471
9457874004154
10146050087225
1156a37515229
122437ba664a1
1310a07146a73
1470d6d58637
153bebe4edba
hex2201437939

146050087225 has 81 divisors (see below), whose sum is σ = 215383239981. Its totient is φ = 97956532800.

The previous prime is 146050087207. The next prime is 146050087241. The reversal of 146050087225 is 522780050641.

The square root of 146050087225 is 382165.

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

It can be written as a sum of positive squares in 4 ways, for example, as 67273315641 + 78776771584 = 259371^2 + 280672^2 .

It is not a de Polignac number, because 146050087225 - 29 = 146050086713 is a prime.

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, 815922186 + ... + 815922364.

Almost surely, 2146050087225 is an apocalyptic number.

146050087225 is the 382165-th square number.

146050087225 is the 191083-rd centered octagonal number.

It is an amenable number.

146050087225 is a deficient number, since it is larger than the sum of its proper divisors (69333152756).

146050087225 is an frugal number, since it uses more digits than its factorization.

146050087225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 40.

The spelling of 146050087225 in words is "one hundred forty-six billion, fifty million, eighty-seven thousand, two hundred twenty-five".

Divisors: 1 5 7 25 35 49 61 175 179 245 305 427 895 1225 1253 1525 2135 2989 3721 4475 6265 8771 10675 10919 14945 18605 26047 31325 32041 43855 54595 74725 76433 93025 130235 160205 182329 219275 224287 272975 382165 535031 651175 666059 801025 911645 1121435 1570009 1910825 1954501 2675155 3330295 4558225 4662413 5607175 7850045 9772505 13375775 13681507 16651475 23312065 32636891 39250225 48862525 68407535 95770549 116560325 119224561 163184455 342037675 478852745 596122805 815922275 834571927 2394263725 2980614025 4172859635 5842003489 20864298175 29210017445 146050087225