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41232066736401 = 3214476011526717
BaseRepresentation
bin10010110000000000101101…
…01100001111000100010001
312101222202011121212010000200
421120000112230033010101
520401021233041031101
6223405425554205413
711453630023362132
oct1130002654170421
9171882147763020
1041232066736401
111215746a833902
12475b073883869
131a01223489ab8
14a278dd719c89
154b7819bc7986
hex258016b0f111

41232066736401 has 24 divisors (see below), whose sum is σ = 59608617067584. Its totient is φ = 27464425976160.

The previous prime is 41232066736373. The next prime is 41232066736403. The reversal of 41232066736401 is 10463766023214.

41232066736401 is a `hidden beast` number, since 4 + 1 + 2 + 3 + 206 + 6 + 7 + 36 + 401 = 666.

It is not a de Polignac number, because 41232066736401 - 26 = 41232066736337 is a prime.

It is a super-2 number, since 2×412320667364012 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (41232066736403) 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 23 ways as a sum of consecutive naturals, for example, 78017895 + ... + 78544611.

It is an arithmetic number, because the mean of its divisors is an integer number (2483692377816).

Almost surely, 241232066736401 is an apocalyptic number.

It is an amenable number.

41232066736401 is a deficient number, since it is larger than the sum of its proper divisors (18376550331183).

41232066736401 is a wasteful number, since it uses less digits than its factorization.

41232066736401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534181 (or 534178 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 41232066736401 in words is "forty-one trillion, two hundred thirty-two billion, sixty-six million, seven hundred thirty-six thousand, four hundred one".

Divisors: 1 3 9 1447 4341 6011 13023 18033 54099 526717 1580151 4740453 8697917 26093751 78281253 762159499 2286478497 3166095887 6859435491 9498287661 28494862983 4581340748489 13744022245467 41232066736401