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215445545120 = 25513176092917
BaseRepresentation
bin1100100010100110001…
…1100010000010100000
3202121002202210200012002
43020221203202002200
512012213024420440
6242550241423132
721364640626541
oct3105143420240
9677082720162
10215445545120
1183408436923
123590833aaa8
13174162652a0
14a5db5644c8
15590e447115
hex32298e20a0

215445545120 has 96 divisors (see below), whose sum is σ = 580386997008. Its totient is φ = 74869751808.

The previous prime is 215445545111. The next prime is 215445545129. The reversal of 215445545120 is 21545544512.

It is an interprime number because it is at equal distance from previous prime (215445545111) and next prime (215445545129).

It can be written as a sum of positive squares in 8 ways, for example, as 53381329936 + 162064215184 = 231044^2 + 402572^2 .

It is not an unprimeable number, because it can be changed into a prime (215445545129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3011099 + ... + 3081818.

Almost surely, 2215445545120 is an apocalyptic number.

215445545120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

215445545120 is an abundant number, since it is smaller than the sum of its proper divisors (364941451888).

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

215445545120 is a wasteful number, since it uses less digits than its factorization.

215445545120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6092962 (or 6092954 counting only the distinct ones).

The product of its (nonzero) digits is 160000, while the sum is 38.

The spelling of 215445545120 in words is "two hundred fifteen billion, four hundred forty-five million, five hundred forty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 17 20 26 32 34 40 52 65 68 80 85 104 130 136 160 170 208 221 260 272 340 416 442 520 544 680 884 1040 1105 1360 1768 2080 2210 2720 3536 4420 7072 8840 17680 35360 6092917 12185834 24371668 30464585 48743336 60929170 79207921 97486672 103579589 121858340 158415842 194973344 207159178 243716680 316831684 396039605 414318356 487433360 517897945 633663368 792079210 828636712 974866720 1035795890 1267326736 1346534657 1584158420 1657273424 2071591780 2534653472 2693069314 3168316840 3314546848 4143183560 5386138628 6336633680 6732673285 8286367120 10772277256 12673267360 13465346570 16572734240 21544554512 26930693140 43089109024 53861386280 107722772560 215445545120