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4076137601 = 29809173741
BaseRepresentation
bin1111001011110100…
…1110110010000001
3101112001222020121022
43302331032302001
531321442400401
61512245435225
7203003412044
oct36275166201
911461866538
104076137601
111801967568
1295910bb15
134cc62ba53
142a94d2c5b
1518ccb471b
hexf2f4ec81

4076137601 has 8 divisors (see below), whose sum is σ = 4221930600. Its totient is φ = 3930693760.

The previous prime is 4076137493. The next prime is 4076137607. The reversal of 4076137601 is 1067316704.

It can be written as a sum of positive squares in 4 ways, for example, as 1078465600 + 2997672001 = 32840^2 + 54751^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 4076137601 - 222 = 4071943297 is a prime.

It is a super-4 number, since 4×40761376014 (a number of 40 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4076137607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63410 + ... + 110331.

It is an arithmetic number, because the mean of its divisors is an integer number (527741325).

Almost surely, 24076137601 is an apocalyptic number.

It is an amenable number.

4076137601 is a deficient number, since it is larger than the sum of its proper divisors (145792999).

4076137601 is a wasteful number, since it uses less digits than its factorization.

4076137601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174579.

The product of its (nonzero) digits is 21168, while the sum is 35.

The square root of 4076137601 is about 63844.6364309485. The cubic root of 4076137601 is about 1597.4095584013.

The spelling of 4076137601 in words is "four billion, seventy-six million, one hundred thirty-seven thousand, six hundred one".

Divisors: 1 29 809 23461 173741 5038489 140556469 4076137601