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2545153640 = 235172220169
BaseRepresentation
bin1001011110110011…
…1111011001101000
320120101011012102122
42113230333121220
520203024404030
61100315250412
7120033310001
oct22754773150
96511135378
102545153640
111096744667
125b0449a08
133173ab993
141a20461a8
15ed6998e5
hex97b3f668

2545153640 has 48 divisors (see below), whose sum is σ = 6083297100. Its totient is φ = 958171136.

The previous prime is 2545153621. The next prime is 2545153643. The reversal of 2545153640 is 463515452.

It can be written as a sum of positive squares in 6 ways, for example, as 1910214436 + 634939204 = 43706^2 + 25198^2 .

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 2545153640.

It is not an unprimeable number, because it can be changed into a prime (2545153643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 98525 + ... + 121644.

Almost surely, 22545153640 is an apocalyptic number.

2545153640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2545153640 is an abundant number, since it is smaller than the sum of its proper divisors (3538143460).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2545153640 is a wasteful number, since it uses less digits than its factorization.

2545153640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220214 (or 220193 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 35.

The square root of 2545153640 is about 50449.5157558524. The cubic root of 2545153640 is about 1365.3311580517.

The spelling of 2545153640 in words is "two billion, five hundred forty-five million, one hundred fifty-three thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 289 340 578 680 1156 1445 2312 2890 5780 11560 220169 440338 880676 1100845 1761352 2201690 3742873 4403380 7485746 8806760 14971492 18714365 29942984 37428730 63628841 74857460 127257682 149714920 254515364 318144205 509030728 636288410 1272576820 2545153640