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34551001145225 = 527333188468573
BaseRepresentation
bin1111101101100100010000…
…01001100101111110001001
311112100001011200020210100102
413312302020021211332021
514012040422243121400
6201252302200015145
710164141006015335
oct766621011457611
9145301150223312
1034551001145225
1110010aa7449414
123a602704614b5
1316381b7673996
148763c51a87c5
153edb3e0b79d5
hex1f6c88265f89

34551001145225 has 12 divisors (see below), whose sum is σ = 42849084173196. Its totient is φ = 27637031398080.

The previous prime is 34551001145203. The next prime is 34551001145249. The reversal of 34551001145225 is 52254110015543.

It can be written as a sum of positive squares in 6 ways, for example, as 6862220333056 + 27688780812169 = 2619584^2 + 5262013^2 .

It is not a de Polignac number, because 34551001145225 - 26 = 34551001145161 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 94050962 + ... + 94417611.

It is an arithmetic number, because the mean of its divisors is an integer number (3570757014433).

Almost surely, 234551001145225 is an apocalyptic number.

It is an amenable number.

34551001145225 is a deficient number, since it is larger than the sum of its proper divisors (8298083027971).

34551001145225 is a wasteful number, since it uses less digits than its factorization.

34551001145225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188475916 (or 188475911 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 38.

The spelling of 34551001145225 in words is "thirty-four trillion, five hundred fifty-one billion, one million, one hundred forty-five thousand, two hundred twenty-five".

Divisors: 1 5 25 7333 36665 183325 188468573 942342865 4711714325 1382040045809 6910200229045 34551001145225