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5745434500 = 2253132338431
BaseRepresentation
bin1010101100111010…
…00101111110000100
3112211102001022110101
411112131011332010
543231312401000
62350040333444
7262243246621
oct52635057604
915742038411
105745434500
112489169a83
121144174284
137074182b0
143c70a5348
15239600e6a
hex156745f84

5745434500 has 96 divisors (see below), whose sum is σ = 14101161984. Its totient is φ = 2029104000.

The previous prime is 5745434473. The next prime is 5745434531. The reversal of 5745434500 is 54345475.

It is a self number, because there is not a number n which added to its sum of digits gives 5745434500.

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 31 ways as a sum of consecutive naturals, for example, 130285 + ... + 168715.

It is an arithmetic number, because the mean of its divisors is an integer number (146887104).

Almost surely, 25745434500 is an apocalyptic number.

5745434500 is a gapful number since it is divisible by the number (50) 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 5745434500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7050580992).

5745434500 is an abundant number, since it is smaller than the sum of its proper divisors (8355727484).

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

5745434500 is a wasteful number, since it uses less digits than its factorization.

5745434500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38486 (or 38474 counting only the distinct ones).

The product of its (nonzero) digits is 168000, while the sum is 37.

The square root of 5745434500 is about 75798.6444469820. The cubic root of 5745434500 is about 1791.0496532909.

Adding to 5745434500 its reverse (54345475), we get a palindrome (5799779975).

The spelling of 5745434500 in words is "five billion, seven hundred forty-five million, four hundred thirty-four thousand, five hundred".

Divisors: 1 2 4 5 10 13 20 23 25 26 46 50 52 65 92 100 115 125 130 230 250 260 299 325 460 500 575 598 650 1150 1196 1300 1495 1625 2300 2875 2990 3250 5750 5980 6500 7475 11500 14950 29900 37375 38431 74750 76862 149500 153724 192155 384310 499603 768620 883913 960775 999206 1767826 1921550 1998412 2498015 3535652 3843100 4419565 4803875 4996030 8839130 9607750 9992060 11490869 12490075 17678260 19215500 22097825 22981738 24980150 44195650 45963476 49960300 57454345 62450375 88391300 110489125 114908690 124900750 220978250 229817380 249801500 287271725 441956500 574543450 1149086900 1436358625 2872717250 5745434500