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45544441728 = 273122396979
BaseRepresentation
bin101010011010101010…
…010000011110000000
311100120001220100201010
4222122222100132000
51221233334113403
632531155240520
73201430236642
oct523252203600
9140501810633
1045544441728
1118351717195
1289b08a9140
1343aa956706
1422c0ab2892
1512b8634603
hexa9aa90780

45544441728 has 64 divisors (see below), whose sum is σ = 121077590400. Its totient is φ = 15168910848.

The previous prime is 45544441727. The next prime is 45544441757. The reversal of 45544441728 is 82714444554.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45544441721) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 421143 + ... + 518121.

It is an arithmetic number, because the mean of its divisors is an integer number (1891837350).

Almost surely, 245544441728 is an apocalyptic number.

45544441728 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

45544441728 is an abundant number, since it is smaller than the sum of its proper divisors (75533148672).

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

45544441728 is a wasteful number, since it uses less digits than its factorization.

45544441728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98219 (or 98207 counting only the distinct ones).

The product of its digits is 2867200, while the sum is 48.

The spelling of 45544441728 in words is "forty-five billion, five hundred forty-four million, four hundred forty-one thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 1223 2446 3669 4892 7338 9784 14676 19568 29352 39136 58704 78272 96979 117408 156544 193958 234816 290937 387916 469632 581874 775832 1163748 1551664 2327496 3103328 4654992 6206656 9309984 12413312 18619968 37239936 118605317 237210634 355815951 474421268 711631902 948842536 1423263804 1897685072 2846527608 3795370144 5693055216 7590740288 11386110432 15181480576 22772220864 45544441728