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45557574128 = 24112965313669
BaseRepresentation
bin101010011011011100…
…010110100111110000
311100120222121112222022
4222123130112213300
51221300214333003
632532344531012
73201646663553
oct523334264760
9140528545868
1045557574128
1118359076810
1289b5180a68
1343b05a3c71
1422c273069a
1512b987a738
hexa9b7169f0

45557574128 has 80 divisors (see below), whose sum is σ = 99772408800. Its totient is φ = 19961840640.

The previous prime is 45557574109. The next prime is 45557574143. The reversal of 45557574128 is 82147575554.

It is a self number, because there is not a number n which added to its sum of digits gives 45557574128.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3326078 + ... + 3339746.

It is an arithmetic number, because the mean of its divisors is an integer number (1247155110).

Almost surely, 245557574128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45557574128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49886204400).

45557574128 is an abundant number, since it is smaller than the sum of its proper divisors (54214834672).

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

45557574128 is a wasteful number, since it uses less digits than its factorization.

45557574128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14370 (or 14364 counting only the distinct ones).

The product of its digits is 7840000, while the sum is 53.

The spelling of 45557574128 in words is "forty-five billion, five hundred fifty-seven million, five hundred seventy-four thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 29 44 58 88 116 176 232 319 464 638 653 1276 1306 2552 2612 5104 5224 7183 10448 13669 14366 18937 27338 28732 37874 54676 57464 75748 109352 114928 150359 151496 208307 218704 300718 302992 396401 416614 601436 792802 833228 1202872 1585604 1666456 2405744 3171208 3332912 4360411 6342416 8720822 8925857 17441644 17851714 34883288 35703428 69766576 71406856 98184427 142813712 196368854 258849853 392737708 517699706 785475416 1035399412 1570950832 2070798824 2847348383 4141597648 5694696766 11389393532 22778787064 45557574128