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2545327020 = 2235198925087
BaseRepresentation
bin1001011110110110…
…1001101110101100
320120101111000021010
42113231221232230
520203100431040
61100323105220
7120034631325
oct22755515654
96511430233
102545327020
111096852955
125b0512210
1331743c882
141a208d44c
15ed6d0e80
hex97b69bac

2545327020 has 96 divisors (see below), whose sum is σ = 7586611200. Its totient is φ = 635779584.

The previous prime is 2545327007. The next prime is 2545327061. The reversal of 2545327020 is 207235452.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 88917 + ... + 114003.

It is an arithmetic number, because the mean of its divisors is an integer number (79027200).

Almost surely, 22545327020 is an apocalyptic number.

2545327020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2545327020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3793305600).

2545327020 is an abundant number, since it is smaller than the sum of its proper divisors (5041284180).

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

2545327020 is a wasteful number, since it uses less digits than its factorization.

2545327020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25207 (or 25205 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 30.

The square root of 2545327020 is about 50451.2340780679. The cubic root of 2545327020 is about 1365.3621602065.

The spelling of 2545327020 in words is "two billion, five hundred forty-five million, three hundred twenty-seven thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 89 95 114 178 190 228 267 285 356 380 445 534 570 890 1068 1140 1335 1691 1780 2670 3382 5073 5340 6764 8455 10146 16910 20292 25087 25365 33820 50174 50730 75261 100348 101460 125435 150522 250870 301044 376305 476653 501740 752610 953306 1429959 1505220 1906612 2232743 2383265 2859918 4465486 4766530 5719836 6698229 7149795 8930972 9533060 11163715 13396458 14299590 22327430 26792916 28599180 33491145 42422117 44654860 66982290 84844234 127266351 133964580 169688468 212110585 254532702 424221170 509065404 636331755 848442340 1272663510 2545327020