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41166870408 = 2334611041461
BaseRepresentation
bin100110010101101111…
…001001011110001000
310221020222201200210000
4212111233021132020
51133302204323113
630524540523000
72655103424226
oct462557113610
9127228650700
1041166870408
1116505697054
127b8a850460
133b60a47421
141dc7555b16
15110e17b373
hex995bc9788

41166870408 has 80 divisors (see below), whose sum is σ = 117195718860. Its totient is φ = 13497321600.

The previous prime is 41166870379. The next prime is 41166870427. The reversal of 41166870408 is 80407866114.

41166870408 is a `hidden beast` number, since 4 + 1 + 166 + 87 + 0 + 408 = 666.

41166870408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 41159482884 + 7387524 = 202878^2 + 2718^2 .

It is a super-2 number, since 2×411668704082 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 481203 + ... + 560258.

Almost surely, 241166870408 is an apocalyptic number.

It is an amenable number.

41166870408 is an abundant number, since it is smaller than the sum of its proper divisors (76028848452).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

41166870408 is a wasteful number, since it uses less digits than its factorization.

41166870408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1041540 (or 1041527 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 41166870408 in words is "forty-one billion, one hundred sixty-six million, eight hundred seventy thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 61 72 81 108 122 162 183 216 244 324 366 488 549 648 732 1098 1464 1647 2196 3294 4392 4941 6588 9882 13176 19764 39528 1041461 2082922 3124383 4165844 6248766 8331688 9373149 12497532 18746298 24995064 28119447 37492596 56238894 63529121 74985192 84358341 112477788 127058242 168716682 190587363 224955576 254116484 337433364 381174726 508232968 571762089 674866728 762349452 1143524178 1524698904 1715286267 2287048356 3430572534 4574096712 5145858801 6861145068 10291717602 13722290136 20583435204 41166870408