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4005024552225 = 335213964166593
BaseRepresentation
bin111010010001111110000…
…100001101010100100001
3112011212200001021101211000
4322101332010031110201
51011104242241132400
612303514411342213
7562232145666324
oct72217604152441
915155601241730
104005024552225
111304580a49074
1254824a751969
13230897a72768
14dbbb67927bb
156e2a7161600
hex3a47e10d521

4005024552225 has 96 divisors (see below), whose sum is σ = 7421981212800. Its totient is φ = 2117305958400.

The previous prime is 4005024552223. The next prime is 4005024552247. The reversal of 4005024552225 is 5222554205004.

4005024552225 is a `hidden beast` number, since 40 + 0 + 50 + 2 + 45 + 522 + 2 + 5 = 666.

It is not a de Polignac number, because 4005024552225 - 21 = 4005024552223 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 4005024552225.

It is not an unprimeable number, because it can be changed into a prime (4005024552223) 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 95 ways as a sum of consecutive naturals, for example, 60108529 + ... + 60175121.

It is an arithmetic number, because the mean of its divisors is an integer number (77312304300).

Almost surely, 24005024552225 is an apocalyptic number.

4005024552225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4005024552225 is a deficient number, since it is larger than the sum of its proper divisors (3416956660575).

4005024552225 is a wasteful number, since it uses less digits than its factorization.

4005024552225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67392 (or 67381 counting only the distinct ones).

The product of its (nonzero) digits is 160000, while the sum is 36.

Adding to 4005024552225 its reverse (5222554205004), we get a palindrome (9227578757229).

The spelling of 4005024552225 in words is "four trillion, five billion, twenty-four million, five hundred fifty-two thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 135 139 225 417 641 675 695 1251 1923 2085 3205 3475 3753 5769 6255 9615 10425 16025 17307 18765 28845 31275 48075 66593 86535 89099 93825 144225 199779 267297 332965 432675 445495 599337 801891 998895 1336485 1664825 1798011 2227475 2405673 2996685 4009455 4994475 6682425 8990055 9256427 12028365 14983425 20047275 27769281 42686113 44950275 46282135 60141825 83307843 128058339 138846405 213430565 231410675 249923529 384175017 416539215 640291695 694232025 1067152825 1152525051 1249617645 1920875085 2082696075 3201458475 5762625255 5933369707 6248088225 9604375425 17800109121 28813126275 29666848535 53400327363 89000545605 148334242675 160200982089 267001636815 445002728025 801004910445 1335008184075 4005024552225