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41608401093 = 3271959958031
BaseRepresentation
bin100110110000000011…
…011101000011000101
310222101202112210000100
4212300003131003011
51140203222313333
631040432234313
73002044400550
oct466003350305
9128352483010
1041608401093
1116711948646
12809269b999
133c0136a19c
14202a04b697
151137ce5213
hex9b00dd0c5

41608401093 has 48 divisors (see below), whose sum is σ = 72423936000. Its totient is φ = 22486857120.

The previous prime is 41608401053. The next prime is 41608401101. The reversal of 41608401093 is 39010480614.

41608401093 is a `hidden beast` number, since 4 + 1 + 608 + 40 + 1 + 0 + 9 + 3 = 666.

It is not a de Polignac number, because 41608401093 - 28 = 41608400837 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41608401053) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 687988 + ... + 746018.

It is an arithmetic number, because the mean of its divisors is an integer number (1508832000).

Almost surely, 241608401093 is an apocalyptic number.

It is an amenable number.

41608401093 is a deficient number, since it is larger than the sum of its proper divisors (30815534907).

41608401093 is a wasteful number, since it uses less digits than its factorization.

41608401093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58662 (or 58659 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 41608401093 in words is "forty-one billion, six hundred eight million, four hundred one thousand, ninety-three".

Divisors: 1 3 7 9 19 21 57 63 133 171 399 599 1197 1797 4193 5391 11381 12579 34143 37737 58031 79667 102429 174093 239001 406217 522279 717003 1102589 1218651 3307767 3655953 7718123 9923301 23154369 34760569 69463107 104281707 243323983 312845121 660450811 729971949 1981352433 2189915847 4623155677 5944057299 13869467031 41608401093