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46305321504043 = 7247101421509929
BaseRepresentation
bin10101000011101010011000…
…01111010100110100101011
320001221202010110202000011011
422201311030033110310223
522032131244301112133
6242252212050444351
712516310014366400
oct1241651417246453
9201852113660134
1046305321504043
1113832a818a2548
12523a3465936b7
131cab75b0a1704
14b6129207c2a7
155547936256cd
hex2a1d4c3d4d2b

46305321504043 has 96 divisors (see below), whose sum is σ = 55857544531200. Its totient is φ = 38253229056000.

The previous prime is 46305321503957. The next prime is 46305321504067. The reversal of 46305321504043 is 34040512350364.

46305321504043 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 46305321504043 - 217 = 46305321372971 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 46305321503987 and 46305321504005.

It is not an unprimeable number, because it can be changed into a prime (46305321504083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 49844263803 + ... + 49844264731.

It is an arithmetic number, because the mean of its divisors is an integer number (581849422200).

Almost surely, 246305321504043 is an apocalyptic number.

46305321504043 is a deficient number, since it is larger than the sum of its proper divisors (9552223027157).

46305321504043 is a wasteful number, since it uses less digits than its factorization.

46305321504043 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2021 (or 2014 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 40.

The spelling of 46305321504043 in words is "forty-six trillion, three hundred five billion, three hundred twenty-one million, five hundred four thousand, forty-three".

Divisors: 1 7 47 49 101 329 421 509 707 929 2303 2947 3563 4747 4949 6503 19787 20629 23923 24941 33229 42521 43663 45521 51409 93829 138509 167461 214289 232603 297647 305641 359863 391109 472861 656803 969563 1172227 1500023 1998487 2083529 2139487 2416223 2519041 2737763 3310027 4409963 4597621 10071583 10500161 13989409 16913561 18382123 19164341 21643189 22224467 23170189 30869741 39502009 47758961 70501081 97925863 118394927 128674861 151502323 155571269 199074481 216088187 276514063 334312727 493507567 900724027 1017229883 1060516261 1088998883 1393521367 1856594423 1935598441 2244671167 2340189089 7120609181 9356500607 9754649569 12996160961 15712698169 20106522581 49844264267 65495504249 90973126727 109988887183 140745658067 458468529743 945006561307 985219606469 6615045929149 46305321504043