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46866985727968 = 2572414431959739
BaseRepresentation
bin10101010100000000100100…
…00010010011011111100000
320010221102212211001212012001
422222000102002103133200
522120332041321243333
6243402221312213344
712605012411462410
oct1252002202233740
9203842784055161
1046866985727968
1113a2a1a469507a
12530b17683a254
13201c6cb6aab43
14b80534ba6640
155641b7b44b7d
hex2aa0120937e0

46866985727968 has 96 divisors (see below), whose sum is σ = 106127352334080. Its totient is φ = 19957344675840.

The previous prime is 46866985727941. The next prime is 46866985728037. The reversal of 46866985727968 is 86972758966864.

It is a congruent number.

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, 22935043 + ... + 24894781.

It is an arithmetic number, because the mean of its divisors is an integer number (1105493253480).

Almost surely, 246866985727968 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 46866985727968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53063676167040).

46866985727968 is an abundant number, since it is smaller than the sum of its proper divisors (59260366606112).

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

46866985727968 is a wasteful number, since it uses less digits than its factorization.

46866985727968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1960440 (or 1960432 counting only the distinct ones).

The product of its digits is 105345515520, while the sum is 91.

The spelling of 46866985727968 in words is "forty-six trillion, eight hundred sixty-six billion, nine hundred eighty-five million, seven hundred twenty-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 241 443 482 886 964 1687 1772 1928 3101 3374 3544 3856 6202 6748 7088 7712 12404 13496 14176 24808 26992 49616 53984 99232 106763 213526 427052 747341 854104 1494682 1708208 1959739 2989364 3416416 3919478 5978728 7838956 11957456 13718173 15677912 23914912 27436346 31355824 54872692 62711648 109745384 219490768 438981536 472297099 868164377 944594198 1736328754 1889188396 3306079693 3472657508 3778376792 6077150639 6612159386 6945315016 7556753584 12154301278 13224318772 13890630032 15113507168 24308602556 26448637544 27781260064 48617205112 52897275088 97234410224 105794550176 194468820448 209227614857 418455229714 836910459428 1464593303999 1673820918856 2929186607998 3347641837712 5858373215996 6695283675424 11716746431992 23433492863984 46866985727968