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20453240245200 = 2435276637366869
BaseRepresentation
bin1001010011010001001000…
…00111101000101111010000
32200102022101110221120001220
410221220210013220233100
510140101214000321300
6111300031105325040
74210461234364440
oct451504407505720
980368343846056
1020453240245200
1165761969a3684
122363b84936780
13b54969a81939
14509d29214120
15257080821da0
hex129a241e8bd0

20453240245200 has 240 divisors, whose sum is σ = 74889824661120. Its totient is φ = 4674309212160.

The previous prime is 20453240245199. The next prime is 20453240245201. The reversal of 20453240245200 is 254204235402.

It is an interprime number because it is at equal distance from previous prime (20453240245199) and next prime (20453240245201).

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×204532402452002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20453240245201) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 55567366 + ... + 55934234.

It is an arithmetic number, because the mean of its divisors is an integer number (312040936088).

Almost surely, 220453240245200 is an apocalyptic number.

20453240245200 is a gapful number since it is divisible by the number (20) 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 20453240245200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37444912330560).

20453240245200 is an abundant number, since it is smaller than the sum of its proper divisors (54436584415920).

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

20453240245200 is a wasteful number, since it uses less digits than its factorization.

20453240245200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373534 (or 373523 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 33.

The spelling of 20453240245200 in words is "twenty trillion, four hundred fifty-three billion, two hundred forty million, two hundred forty-five thousand, two hundred".