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46143501633642 = 2371830160032501
BaseRepresentation
bin10100111110111100111110…
…00001100000100001101010
320001101021102222002212021210
422133132133001200201222
522022003342404234032
6242050010525213550
712501520662236520
oct1237363701404152
9201337388085253
1046143501633642
1113780392793866
125212b054012b6
131c9940caa85ca
14b5750099c310
155504720072cc
hex29f79f06086a

46143501633642 has 32 divisors (see below), whose sum is σ = 105476625753984. Its totient is φ = 13183137000000.

The previous prime is 46143501633583. The next prime is 46143501633683. The reversal of 46143501633642 is 24633610534164.

46143501633642 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 46143501633591 and 46143501633600.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 29247609 + ... + 30784892.

It is an arithmetic number, because the mean of its divisors is an integer number (3296144554812).

Almost surely, 246143501633642 is an apocalyptic number.

46143501633642 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

46143501633642 is an abundant number, since it is smaller than the sum of its proper divisors (59333124120342).

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

46143501633642 is a wasteful number, since it uses less digits than its factorization.

46143501633642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60050814.

The product of its (nonzero) digits is 3732480, while the sum is 48.

The spelling of 46143501633642 in words is "forty-six trillion, one hundred forty-three billion, five hundred one million, six hundred thirty-three thousand, six hundred forty-two".

Divisors: 1 2 3 6 7 14 21 42 18301 36602 54903 109806 128107 256214 384321 768642 60032501 120065002 180097503 360195006 420227507 840455014 1260682521 2521365042 1098654800801 2197309601602 3295964402403 6591928804806 7690583605607 15381167211214 23071750816821 46143501633642