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45255125344 = 25111367147607
BaseRepresentation
bin101010001001011010…
…100110100101100000
311022210220111120020111
4222021122212211200
51220140303002334
632442342221104
73161315134642
oct521132464540
9138726446214
1045255125344
111821337a540
12892ba24794
134362a296a0
1422944c0892
15129d036064
hexa896a6960

45255125344 has 96 divisors (see below), whose sum is σ = 106235248896. Its totient is φ = 18704632320.

The previous prime is 45255125341. The next prime is 45255125351. The reversal of 45255125344 is 44352155254.

It is a super-2 number, since 2×452551253442 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 45255125297 and 45255125306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45255125341) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 232789 + ... + 380395.

It is an arithmetic number, because the mean of its divisors is an integer number (1106617176).

Almost surely, 245255125344 is an apocalyptic number.

45255125344 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45255125344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53117624448).

45255125344 is an abundant number, since it is smaller than the sum of its proper divisors (60980123552).

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

45255125344 is a wasteful number, since it uses less digits than its factorization.

45255125344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147708 (or 147700 counting only the distinct ones).

The product of its digits is 480000, while the sum is 40.

The spelling of 45255125344 in words is "forty-five billion, two hundred fifty-five million, one hundred twenty-five thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 67 88 104 134 143 176 208 268 286 352 416 536 572 737 871 1072 1144 1474 1742 2144 2288 2948 3484 4576 5896 6968 9581 11792 13936 19162 23584 27872 38324 76648 147607 153296 295214 306592 590428 1180856 1623677 1918891 2361712 3247354 3837782 4723424 6494708 7675564 9889669 12989416 15351128 19779338 21107801 25978832 30702256 39558676 42215602 51957664 61404512 79117352 84431204 108786359 128565697 158234704 168862408 217572718 257131394 316469408 337724816 435145436 514262788 675449632 870290872 1028525576 1414222667 1740581744 2057051152 2828445334 3481163488 4114102304 5656890668 11313781336 22627562672 45255125344