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41886164520 = 23325116350457
BaseRepresentation
bin100111000000100111…
…000010011000101000
311000010010012121210200
4213000213002120220
51141240324231040
631124153512200
73011656344504
oct470047023050
9130103177720
1041886164520
11168447143a2
12814b712660
133c46a80845
142054cb3304
1511523b0630
hex9c09c2628

41886164520 has 48 divisors (see below), whose sum is σ = 136130035860. Its totient is φ = 11169643776.

The previous prime is 41886164497. The next prime is 41886164521. The reversal of 41886164520 is 2546168814.

It is a happy number.

41886164520 is a `hidden beast` number, since 4 + 1 + 8 + 8 + 61 + 64 + 520 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 41281299684 + 604864836 = 203178^2 + 24594^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (41886164521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58174869 + ... + 58175588.

Almost surely, 241886164520 is an apocalyptic number.

41886164520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41886164520 is an abundant number, since it is smaller than the sum of its proper divisors (94243871340).

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

41886164520 is a wasteful number, since it uses less digits than its factorization.

41886164520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116350474 (or 116350467 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 41886164520 in words is "forty-one billion, eight hundred eighty-six million, one hundred sixty-four thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 116350457 232700914 349051371 465401828 581752285 698102742 930803656 1047154113 1163504570 1396205484 1745256855 2094308226 2327009140 2792410968 3490513710 4188616452 4654018280 5235770565 6981027420 8377232904 10471541130 13962054840 20943082260 41886164520