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1020641463225 = 33524167550441
BaseRepresentation
bin11101101101000101111…
…10001100101110111001
310121120110020222101212000
432312202332030232321
5113210233203310400
62100513132411213
7133511306203056
oct16664276145671
93546406871760
101020641463225
1136394055280a
12145982916b09
13753278288c7
14375839ca02d
151b838990600
hexeda2f8cbb9

1020641463225 has 96 divisors (see below), whose sum is σ = 1949357316480. Its totient is φ = 523138176000.

The previous prime is 1020641463221. The next prime is 1020641463313. The reversal of 1020641463225 is 5223641460201.

1020641463225 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 6 + 4 + 14 + 632 + 2 + 5 = 666.

It is not a de Polignac number, because 1020641463225 - 22 = 1020641463221 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1020641463225.

It is not an unprimeable number, because it can be changed into a prime (1020641463221) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1579005 + ... + 2129445.

It is an arithmetic number, because the mean of its divisors is an integer number (20305805380).

Almost surely, 21020641463225 is an apocalyptic number.

1020641463225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1020641463225 is a deficient number, since it is larger than the sum of its proper divisors (928715853255).

1020641463225 is a wasteful number, since it uses less digits than its factorization.

1020641463225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550568 (or 550557 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 1020641463225 in words is "one trillion, twenty billion, six hundred forty-one million, four hundred sixty-three thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 41 45 67 75 123 135 201 205 225 335 369 603 615 675 1005 1025 1107 1675 1809 1845 2747 3015 3075 5025 5535 8241 9045 9225 13735 15075 24723 27675 41205 45225 68675 74169 123615 206025 370845 550441 618075 1651323 1854225 2752205 4953969 8256615 13761025 14861907 22568081 24769845 36879547 41283075 67704243 74309535 110638641 112840405 123849225 184397735 203112729 331915923 338521215 371547675 553193205 564202025 609338187 921988675 995747769 1015563645 1512061427 1659579615 1692606075 2765966025 3046690935 4536184281 4978738845 5077818225 7560307135 8297898075 13608552843 15233454675 22680921405 24893694225 37801535675 40825658529 68042764215 113404607025 204128292645 340213821075 1020641463225