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46105446120 = 23351482725913
BaseRepresentation
bin101010111100000110…
…010100011011101000
311102000011112100001120
4222330012110123220
51223410443233440
633102555415240
73221351553156
oct527406243350
9142004470046
1046105446120
111860a360088
128b28754520
134469c4a986
1423353c83d6
1512ec9ecdd0
hexabc1946e8

46105446120 has 64 divisors (see below), whose sum is σ = 138331005120. Its totient is φ = 12293481984.

The previous prime is 46105446109. The next prime is 46105446161. The reversal of 46105446120 is 2164450164.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1766284 + ... + 1792196.

It is an arithmetic number, because the mean of its divisors is an integer number (2161421955).

Almost surely, 246105446120 is an apocalyptic number.

46105446120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

46105446120 is an abundant number, since it is smaller than the sum of its proper divisors (92225559000).

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

46105446120 is a wasteful number, since it uses less digits than its factorization.

46105446120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40754 (or 40750 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

Adding to 46105446120 its reverse (2164450164), we get a palindrome (48269896284).

The spelling of 46105446120 in words is "forty-six billion, one hundred five million, four hundred forty-six thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 14827 25913 29654 44481 51826 59308 74135 77739 88962 103652 118616 129565 148270 155478 177924 207304 222405 259130 296540 310956 355848 388695 444810 518260 593080 621912 777390 889620 1036520 1554780 1779240 3109560 384212051 768424102 1152636153 1536848204 1921060255 2305272306 3073696408 3842120510 4610544612 5763180765 7684241020 9221089224 11526361530 15368482040 23052723060 46105446120