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4681954541 = 1113119117011
BaseRepresentation
bin1000101110001000…
…01111010011101101
3110002021220221012202
410113010033103231
534042040021131
62052330311245
7224010646145
oct42704172355
913067827182
104681954541
111a92928820
12aa7b88525
13597cb3204
14325b51925
151c6080bcb
hex11710f4ed

4681954541 has 16 divisors (see below), whose sum is σ = 5173825536. Its totient is φ = 4201470000.

The previous prime is 4681954493. The next prime is 4681954567. The reversal of 4681954541 is 1454591864.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-4681954541 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4681956541) 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 15 ways as a sum of consecutive naturals, for example, 266726 + ... + 283736.

It is an arithmetic number, because the mean of its divisors is an integer number (323364096).

Almost surely, 24681954541 is an apocalyptic number.

It is an amenable number.

4681954541 is a deficient number, since it is larger than the sum of its proper divisors (491870995).

4681954541 is a wasteful number, since it uses less digits than its factorization.

4681954541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17344.

The product of its digits is 691200, while the sum is 47.

The square root of 4681954541 is about 68424.8093968847. The cubic root of 4681954541 is about 1672.9221480288.

The spelling of 4681954541 in words is "four billion, six hundred eighty-one million, nine hundred fifty-four thousand, five hundred forty-one".

Divisors: 1 11 131 191 1441 2101 17011 25021 187121 275231 2228441 3249101 24512851 35740111 425632231 4681954541