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45561246144 = 263237298157
BaseRepresentation
bin101010011011101010…
…010111000111000000
311100121020112010000220
4222123222113013000
51221302134334034
632532555343040
73202023126261
oct523352270700
9140536463026
1045561246144
1118360154637
1289b6451a80
1343b128b45b
1422c3008968
1512b9d53749
hexa9ba971c0

45561246144 has 28 divisors (see below), whose sum is σ = 120547464264. Its totient is φ = 15187081984.

The previous prime is 45561246139. The next prime is 45561246167. The reversal of 45561246144 is 44164216554.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 45561246096 and 45561246105.

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 3 ways as a sum of consecutive naturals, for example, 118648887 + ... + 118649270.

Almost surely, 245561246144 is an apocalyptic number.

It is an amenable number.

45561246144 is an abundant number, since it is smaller than the sum of its proper divisors (74986218120).

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

45561246144 is a wasteful number, since it uses less digits than its factorization.

45561246144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237298172 (or 237298162 counting only the distinct ones).

The product of its digits is 460800, while the sum is 42.

The spelling of 45561246144 in words is "forty-five billion, five hundred sixty-one million, two hundred forty-six thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 237298157 474596314 711894471 949192628 1423788942 1898385256 2847577884 3796770512 5695155768 7593541024 11390311536 15187082048 22780623072 45561246144