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1105494530625 = 345446732
BaseRepresentation
bin10000000101100100100…
…110111101101001000001
310220200110210222211210000
4100011210212331221001
5121103023044440000
62203505052230213
7142604120316162
oct20054446755101
93820423884700
101105494530625
1139692392a1a1
1215a303a6b369
138032b225624
143b7130d9769
151db53040000
hex101649bda41

1105494530625 has 75 divisors (see below), whose sum is σ = 2064053325103. Its totient is φ = 589470912000.

The previous prime is 1105494530603. The next prime is 1105494530627. The reversal of 1105494530625 is 5260354945011.

It is a happy number.

The square root of 1105494530625 is 1051425.

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

1105494530625 is a `hidden beast` number, since 1 + 1 + 0 + 5 + 4 + 94 + 530 + 6 + 25 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 243894736449 + 861599794176 = 493857^2 + 928224^2 .

It is a tau number, because it is divible by the number of its divisors (75).

It is not a de Polignac number, because 1105494530625 - 211 = 1105494528577 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1105494530627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 236568289 + ... + 236572961.

Almost surely, 21105494530625 is an apocalyptic number.

1105494530625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1105494530625 is the 1051425-th square number.

1105494530625 is the 525713-rd centered octagonal number.

It is an amenable number.

1105494530625 is a deficient number, since it is larger than the sum of its proper divisors (958558794478).

1105494530625 is an frugal number, since it uses more digits than its factorization.

1105494530625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9378 (or 4681 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 1105494530625 in words is "one trillion, one hundred five billion, four hundred ninety-four million, five hundred thirty thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 125 135 225 375 405 625 675 1125 1875 2025 3375 4673 5625 10125 14019 16875 23365 42057 50625 70095 116825 126171 210285 350475 378513 584125 630855 1051425 1752375 1892565 2920625 3154275 5257125 8761875 9462825 15771375 21836929 26285625 47314125 65510787 78856875 109184645 196532361 236570625 327553935 545923225 589597083 982661805 1637769675 1768791249 2729616125 2947985415 4913309025 8188848375 8843956245 13648080625 14739927075 24566545125 40944241875 44219781225 73699635375 122832725625 221098906125 368498176875 1105494530625