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4121166465 = 335133077649
BaseRepresentation
bin1111010110100100…
…0000001010000001
3101122012200221121000
43311221000022001
531420004311330
61520534522213
7204061223403
oct36551001201
911565627530
104121166465
1118253223a9
12970206369
13508a66550
142b1494b73
15191c0b560
hexf5a40281

4121166465 has 64 divisors (see below), whose sum is σ = 7916832000. Its totient is φ = 2022008832.

The previous prime is 4121166463. The next prime is 4121166493. The reversal of 4121166465 is 5646611214.

4121166465 is a `hidden beast` number, since 4 + 1 + 2 + 1 + 1 + 6 + 646 + 5 = 666.

4121166465 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4121166465 - 21 = 4121166463 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4121166463) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 534961 + ... + 542609.

It is an arithmetic number, because the mean of its divisors is an integer number (123700500).

Almost surely, 24121166465 is an apocalyptic number.

4121166465 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4121166465 is a deficient number, since it is larger than the sum of its proper divisors (3795665535).

4121166465 is a wasteful number, since it uses less digits than its factorization.

4121166465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7983 (or 7977 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 4121166465 is about 64196.3119267766. The cubic root of 4121166465 is about 1603.2701950501.

Adding to 4121166465 its reverse (5646611214), we get a palindrome (9767777679).

The spelling of 4121166465 in words is "four billion, one hundred twenty-one million, one hundred sixty-six thousand, four hundred sixty-five".

Divisors: 1 3 5 9 13 15 27 39 45 65 117 135 195 307 351 585 921 1535 1755 2763 3991 4605 7649 8289 11973 13815 19955 22947 35919 38245 41445 59865 68841 99437 107757 114735 179595 206523 298311 344205 497185 538785 894933 1032615 1491555 2348243 2684799 4474665 7044729 11741215 13423995 21134187 30527159 35223645 63402561 91581477 105670935 152635795 274744431 317012805 457907385 824233293 1373722155 4121166465