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46801944440 = 2354128537771
BaseRepresentation
bin101011100101100111…
…001111111101111000
311110210201010010010122
4223211213033331320
51231322244210230
633300040032412
73244536651416
oct534547177570
9143721103118
1046801944440
1118937528629
1290a1a62708
13454b332264
14239dad02b6
15133dc2cbe5
hexae59cff78

46801944440 has 32 divisors (see below), whose sum is σ = 107872778160. Its totient is φ = 18264172800.

The previous prime is 46801944439. The next prime is 46801944443. The reversal of 46801944440 is 4444910864.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 46801944391 and 46801944400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46801944443) 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 7 ways as a sum of consecutive naturals, for example, 14267246 + ... + 14270525.

Almost surely, 246801944440 is an apocalyptic number.

46801944440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

46801944440 is an abundant number, since it is smaller than the sum of its proper divisors (61070833720).

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

46801944440 is a wasteful number, since it uses less digits than its factorization.

46801944440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28537823 (or 28537819 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 44.

The spelling of 46801944440 in words is "forty-six billion, eight hundred one million, nine hundred forty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 328 410 820 1640 28537771 57075542 114151084 142688855 228302168 285377710 570755420 1141510840 1170048611 2340097222 4680194444 5850243055 9360388888 11700486110 23400972220 46801944440