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152525301120441 = 3353664631603697
BaseRepresentation
bin100010101011100010010000…
…011001000111110110111001
3202000001021110111001110001000
4202223202100121013312321
5124442433304041323231
61300221053411115213
744061406102126464
oct4253422031076671
9660037414043030
10152525301120441
1144665687179837
12151345128a2b09
1367150c6c85322
14299439a45c2db
1512977ee3936e6
hex8ab890647db9

152525301120441 has 32 divisors (see below), whose sum is σ = 230230477163520. Its totient is φ = 99763413564672.

The previous prime is 152525301120433. The next prime is 152525301120469. The reversal of 152525301120441 is 144021103525251.

152525301120441 is a `hidden beast` number, since 1 + 5 + 2 + 5 + 2 + 530 + 112 + 0 + 4 + 4 + 1 = 666.

It is not a de Polignac number, because 152525301120441 - 23 = 152525301120433 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 152525301120396 and 152525301120405.

It is not an unprimeable number, because it can be changed into a prime (152525301520441) 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 31 ways as a sum of consecutive naturals, for example, 94306705 + ... + 95910401.

It is an arithmetic number, because the mean of its divisors is an integer number (7194702411360).

Almost surely, 2152525301120441 is an apocalyptic number.

It is an amenable number.

152525301120441 is a deficient number, since it is larger than the sum of its proper divisors (77705176043079).

152525301120441 is a wasteful number, since it uses less digits than its factorization.

152525301120441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1670222 (or 1670216 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

Adding to 152525301120441 its reverse (144021103525251), we get a palindrome (296546404645692).

The spelling of 152525301120441 in words is "one hundred fifty-two trillion, five hundred twenty-five billion, three hundred one million, one hundred twenty thousand, four hundred forty-one".

Divisors: 1 3 9 27 53 159 477 1431 66463 199389 598167 1603697 1794501 3522539 4811091 10567617 14433273 31702851 43299819 84995941 95108553 254987823 764963469 2294890407 106586513711 319759541133 959278623399 2877835870197 5649085226683 16947255680049 50841767040147 152525301120441