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3816866025 = 325272346201
BaseRepresentation
bin1110001110000000…
…1100000011101001
3100212000002212212100
43203200030003221
530304104203100
61430424404013
7163404553200
oct34340140351
910760085770
103816866025
111689580a35
128a6316609
1348a9c120b
14282cc2237
1517514d400
hexe380c0e9

3816866025 has 54 divisors (see below), whose sum is σ = 7952606142. Its totient is φ = 1744848000.

The previous prime is 3816866003. The next prime is 3816866033. The reversal of 3816866025 is 5206686183.

3816866025 is a `hidden beast` number, since 38 + 1 + 6 + 8 + 6 + 602 + 5 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 796594176 + 3020271849 = 28224^2 + 54957^2 .

It is not a de Polignac number, because 3816866025 - 210 = 3816865001 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 53 ways as a sum of consecutive naturals, for example, 162076 + ... + 184125.

Almost surely, 23816866025 is an apocalyptic number.

3816866025 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3816866025 is an abundant number, since it is smaller than the sum of its proper divisors (4135740117).

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

3816866025 is a wasteful number, since it uses less digits than its factorization.

3816866025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346231 (or 346216 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 3816866025 is about 61780.7900969225. The cubic root of 3816866025 is about 1562.7960518492.

The spelling of 3816866025 in words is "three billion, eight hundred sixteen million, eight hundred sixty-six thousand, twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 49 63 75 105 147 175 225 245 315 441 525 735 1225 1575 2205 3675 11025 346201 1038603 1731005 2423407 3115809 5193015 7270221 8655025 12117035 15579045 16963849 21810663 25965075 36351105 50891547 60585175 77895225 84819245 109053315 152674641 181755525 254457735 424096225 545266575 763373205 1272288675 3816866025