Search a number
-
+
34803361906525 = 5241109311509169
BaseRepresentation
bin1111110100111010010100…
…00001011111111101011101
311120020011120010112202011101
413322131022001133331131
514030204241122002100
6202004235502553101
710221313516054162
oct772351201377535
9146204503482141
1034803361906525
11100a9028524563
123aa115b598791
131655c34860344
148846c5344069
154054ae2a686a
hex1fa74a05ff5d

34803361906525 has 24 divisors (see below), whose sum is σ = 44614343327400. Its totient is φ = 26914392115200.

The previous prime is 34803361906487. The next prime is 34803361906583. The reversal of 34803361906525 is 52560916330843.

It can be written as a sum of positive squares in 12 ways, for example, as 25788541810564 + 9014820095961 = 5078242^2 + 3002469^2 .

It is not a de Polignac number, because 34803361906525 - 29 = 34803361906013 is a prime.

It is a super-2 number, since 2×348033619065252 (a number of 28 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (55) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 155642860 + ... + 155866309.

It is an arithmetic number, because the mean of its divisors is an integer number (1858930971975).

Almost surely, 234803361906525 is an apocalyptic number.

It is an amenable number.

34803361906525 is a deficient number, since it is larger than the sum of its proper divisors (9810981420875).

34803361906525 is a wasteful number, since it uses less digits than its factorization.

34803361906525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311509329 (or 311509324 counting only the distinct ones).

The product of its (nonzero) digits is 13996800, while the sum is 55.

The spelling of 34803361906525 in words is "thirty-four trillion, eight hundred three billion, three hundred sixty-one million, nine hundred six thousand, five hundred twenty-five".

Divisors: 1 5 25 41 109 205 545 1025 2725 4469 22345 111725 311509169 1557545845 7787729225 12771875929 33954499421 63859379645 169772497105 319296898225 848862485525 1392134476261 6960672381305 34803361906525