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46441480727216 = 24291272404332779
BaseRepresentation
bin10101000111100111111111…
…11101100010101010110000
320002102202120122100012120202
422203303333331202222300
522041344123031232331
6242434531031254332
712532200120604541
oct1243637775425260
9202382518305522
1046441480727216
11138857a3164163
125260805b1a3a8
131cbb54a01cca3
14b67acb5624c8
155580b2073ecb
hex2a3cfff62ab0

46441480727216 has 80 divisors (see below), whose sum is σ = 93822842572800. Its totient is φ = 22241885831424.

The previous prime is 46441480727209. The next prime is 46441480727287. The reversal of 46441480727216 is 61272708414464.

It is a super-2 number, since 2×464414807272162 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1416789515 + ... + 1416822293.

It is an arithmetic number, because the mean of its divisors is an integer number (1172785532160).

Almost surely, 246441480727216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46441480727216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46911421286400).

46441480727216 is an abundant number, since it is smaller than the sum of its proper divisors (47381361845584).

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

46441480727216 is a wasteful number, since it uses less digits than its factorization.

46441480727216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56986 (or 56980 counting only the distinct ones).

The product of its (nonzero) digits is 14450688, while the sum is 56.

The spelling of 46441480727216 in words is "forty-six trillion, four hundred forty-one billion, four hundred eighty million, seven hundred twenty-seven thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 29 58 116 127 232 254 464 508 1016 2032 3683 7366 14732 24043 29464 32779 48086 58928 65558 96172 131116 192344 262232 384688 524464 697247 950591 1394494 1901182 2788988 3053461 3802364 4162933 5577976 6106922 7604728 8325866 11155952 12213844 15209456 16651732 24427688 33303464 48855376 66606928 88550369 120725057 177100738 241450114 354201476 482900228 708402952 788105497 965800456 1416805904 1576210994 1931600912 3152421988 6304843976 12609687952 22855059413 45710118826 91420237652 100089398119 182840475304 200178796238 365680950608 400357592476 800715184952 1601430369904 2902592545451 5805185090902 11610370181804 23220740363608 46441480727216