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38054033541 = 3237114276377
BaseRepresentation
bin100011011100001100…
…100111100010000101
310122020001101012100200
4203130030213202011
51110413313033131
625252022001113
72515004643126
oct433414474205
9118201335320
1038054033541
11151585676a7
127460276199
133785b76514
141badd7a04d
15ecac492e6
hex8dc327885

38054033541 has 12 divisors (see below), whose sum is σ = 56452530732. Its totient is φ = 24683697216.

The previous prime is 38054033527. The next prime is 38054033561. The reversal of 38054033541 is 14533045083.

38054033541 is a `hidden beast` number, since 3 + 80 + 5 + 4 + 0 + 33 + 541 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 23484336516 + 14569697025 = 153246^2 + 120705^2 .

It is not a de Polignac number, because 38054033541 - 213 = 38054025349 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 38054033496 and 38054033505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38054033561) 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, 57137856 + ... + 57138521.

It is an arithmetic number, because the mean of its divisors is an integer number (4704377561).

Almost surely, 238054033541 is an apocalyptic number.

It is an amenable number.

38054033541 is a deficient number, since it is larger than the sum of its proper divisors (18398497191).

38054033541 is a wasteful number, since it uses less digits than its factorization.

38054033541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114276420 (or 114276417 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 38054033541 in words is "thirty-eight billion, fifty-four million, thirty-three thousand, five hundred forty-one".

Divisors: 1 3 9 37 111 333 114276377 342829131 1028487393 4228225949 12684677847 38054033541