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45624424041 = 3371375413257
BaseRepresentation
bin101010011111011011…
…010111011001101001
311100202122101212211000
4222133123113121221
51221414323032131
632543133425213
73203421130350
oct523733273151
9140678355730
1045624424041
1118392886079
128a1363b209
1343c13aba21
1422cb572997
1512c0682ce6
hexa9f6d7669

45624424041 has 64 divisors (see below), whose sum is σ = 77979317760. Its totient is φ = 25825029120.

The previous prime is 45624423979. The next prime is 45624424049. The reversal of 45624424041 is 14042442654.

45624424041 is a `hidden beast` number, since 4 + 5 + 6 + 244 + 2 + 404 + 1 = 666.

It is not a de Polignac number, because 45624424041 - 29 = 45624423529 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 45624423987 and 45624424005.

It is not an unprimeable number, because it can be changed into a prime (45624424049) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14006485 + ... + 14009741.

It is an arithmetic number, because the mean of its divisors is an integer number (1218426840).

Almost surely, 245624424041 is an apocalyptic number.

It is an amenable number.

45624424041 is a deficient number, since it is larger than the sum of its proper divisors (32354893719).

45624424041 is a wasteful number, since it uses less digits than its factorization.

45624424041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3951 (or 3945 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 36.

Adding to 45624424041 its reverse (14042442654), we get a palindrome (59666866695).

The spelling of 45624424041 in words is "forty-five billion, six hundred twenty-four million, four hundred twenty-four thousand, forty-one".

Divisors: 1 3 7 9 21 27 63 137 189 411 541 959 1233 1623 2877 3257 3699 3787 4869 8631 9771 11361 14607 22799 25893 29313 34083 68397 74117 87939 102249 205191 222351 446209 518819 615573 667053 1338627 1556457 1762037 2001159 3123463 4015881 4669371 5286111 9370389 12047643 12334259 14008113 15858333 28111167 37002777 47574999 84333501 111008331 241399069 333024993 724197207 1689793483 2172591621 5069380449 6517774863 15208141347 45624424041