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45453253400 = 23521313075651
BaseRepresentation
bin101010010101001110…
…011001101100011000
311100022201022111211122
4222111032121230120
51221042013102100
632514140544412
73166242164522
oct522516315430
9140281274748
1045453253400
11183051a4035
128986252108
134394aa9919
1422b2936a12
1512b0620985
hexa95399b18

45453253400 has 96 divisors (see below), whose sum is σ = 106851286080. Its totient is φ = 17980560000.

The previous prime is 45453253393. The next prime is 45453253421. The reversal of 45453253400 is 435235454.

It is a super-2 number, since 2×454532534002 (a number of 22 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 8040575 + ... + 8046225.

It is an arithmetic number, because the mean of its divisors is an integer number (1113034230).

Almost surely, 245453253400 is an apocalyptic number.

45453253400 is a gapful number since it is divisible by the number (40) 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 45453253400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53425643040).

45453253400 is an abundant number, since it is smaller than the sum of its proper divisors (61398032680).

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

45453253400 is a wasteful number, since it uses less digits than its factorization.

45453253400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6105 (or 6096 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 35.

Adding to 45453253400 its reverse (435235454), we get a palindrome (45888488854).

The spelling of 45453253400 in words is "forty-five billion, four hundred fifty-three million, two hundred fifty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 131 200 262 307 524 614 655 1048 1228 1310 1535 2456 2620 3070 3275 5240 5651 6140 6550 7675 11302 12280 13100 15350 22604 26200 28255 30700 40217 45208 56510 61400 80434 113020 141275 160868 201085 226040 282550 321736 402170 565100 740281 804340 1005425 1130200 1480562 1608680 1734857 2010850 2961124 3469714 3701405 4021700 5922248 6939428 7402810 8043400 8674285 13878856 14805620 17348570 18507025 29611240 34697140 37014050 43371425 69394280 74028100 86742850 148056200 173485700 227266267 346971400 454532534 909065068 1136331335 1818130136 2272662670 4545325340 5681656675 9090650680 11363313350 22726626700 45453253400