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2074893601 = 1124121012
BaseRepresentation
bin111101110101100…
…0101110100100001
312100121021111221011
41323223011310201
513222133043401
6541520100521
7102263206324
oct17353056441
95317244834
102074893601
11975250300
1249aa64741
13270b3a3c1
141597d27bb
15c2258451
hex7bac5d21

2074893601 has 27 divisors (see below), whose sum is σ = 2361025177. Its totient is φ = 1822040000.

The previous prime is 2074893539. The next prime is 2074893617. The reversal of 2074893601 is 1063984702.

The square root of 2074893601 is 45551.

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 1002001 + 2073891600 = 1001^2 + 45540^2 .

It is not a de Polignac number, because 2074893601 - 27 = 2074893473 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2074893701) 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 26 ways as a sum of consecutive naturals, for example, 20543451 + ... + 20543551.

Almost surely, 22074893601 is an apocalyptic number.

2074893601 is the 45551-st square number.

2074893601 is the 22776-th centered octagonal number.

It is an amenable number.

2074893601 is a deficient number, since it is larger than the sum of its proper divisors (286131576).

2074893601 is an equidigital number, since it uses as much as digits as its factorization.

2074893601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The cubic root of 2074893601 is about 1275.4554007719.

The spelling of 2074893601 in words is "two billion, seventy-four million, eight hundred ninety-three thousand, six hundred one".

Divisors: 1 11 41 101 121 451 1111 1681 4141 4961 10201 12221 18491 45551 112211 169781 203401 418241 501061 1234321 1867591 4600651 17147881 20543501 50607161 188626691 2074893601