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40536054461601 = 3241109853806129
BaseRepresentation
bin10010011011110000010010…
…01000000111010010100001
312022112012122022222010212200
421031320021020013102201
520303120314420232401
6222114001211443413
711352430134556446
oct1115701110072241
9168465568863780
1040536054461601
1111a09275a75176
1246681aa756569
1319806c223448a
14a01d53c919cd
154a4680c6d686
hex24de092074a1

40536054461601 has 12 divisors (see below), whose sum is σ = 59980178146980. Its totient is φ = 26364913470720.

The previous prime is 40536054461563. The next prime is 40536054461627. The reversal of 40536054461601 is 10616445063504.

40536054461601 is a `hidden beast` number, since 4 + 0 + 5 + 36 + 0 + 5 + 4 + 4 + 6 + 1 + 601 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 17587547450001 + 22948507011600 = 4193751^2 + 4790460^2 .

It is not a de Polignac number, because 40536054461601 - 214 = 40536054445217 is a prime.

It is a super-2 number, since 2×405360544616012 (a number of 28 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (40536054461401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54926902696 + ... + 54926903433.

It is an arithmetic number, because the mean of its divisors is an integer number (4998348178915).

Almost surely, 240536054461601 is an apocalyptic number.

40536054461601 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

40536054461601 is a deficient number, since it is larger than the sum of its proper divisors (19444123685379).

40536054461601 is a wasteful number, since it uses less digits than its factorization.

40536054461601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109853806176 (or 109853806173 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 40536054461601 in words is "forty trillion, five hundred thirty-six billion, fifty-four million, four hundred sixty-one thousand, six hundred one".

Divisors: 1 3 9 41 123 369 109853806129 329561418387 988684255161 4504006051289 13512018153867 40536054461601