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41720540765 = 51922341127193
BaseRepresentation
bin100110110110101111…
…001110111001011101
310222200120120001201112
4212312233032321131
51140420424301030
631055515551405
73004605513431
oct466657167135
9128616501645
1041720540765
111676a180862
12810415b565
133c1b671417
14203acbc9c1
151142a96a95
hex9b6bcee5d

41720540765 has 96 divisors (see below), whose sum is σ = 57220079616. Its totient is φ = 29123297280.

The previous prime is 41720540759. The next prime is 41720540767. The reversal of 41720540765 is 56704502714.

It is not a de Polignac number, because 41720540765 - 24 = 41720540749 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41720540767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 216168509 + ... + 216168701.

It is an arithmetic number, because the mean of its divisors is an integer number (596042496).

Almost surely, 241720540765 is an apocalyptic number.

It is an amenable number.

41720540765 is a deficient number, since it is larger than the sum of its proper divisors (15499538851).

41720540765 is a wasteful number, since it uses less digits than its factorization.

41720540765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 41.

The spelling of 41720540765 in words is "forty-one billion, seven hundred twenty million, five hundred forty thousand, seven hundred sixty-five".

Divisors: 1 5 19 23 41 95 115 127 193 205 361 437 635 779 943 965 1805 2185 2413 2921 3667 3895 4439 4715 5207 7913 8303 12065 14605 14801 17917 18335 22195 24511 26035 39565 41515 45847 55499 69673 74005 84341 89585 98933 119761 122555 150347 181999 229235 277495 340423 348365 421705 465709 494665 563753 598805 751735 909995 1004951 1054481 1602479 1702115 1879727 2275459 2328545 2818765 2856593 3457981 5024755 5272405 8012395 8848471 9398635 10711307 11377295 14282965 17289905 19094069 23113873 43233721 44242355 53556535 65701639 95470345 115569365 203514833 216168605 328508195 362787311 439163587 1017574165 1813936555 2195817935 8344108153 41720540765