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20241450902500 = 2254172672792
BaseRepresentation
bin1001001101000110101000…
…11111011010001111100100
32122200001201111221012201021
410212203110133122033210
510123113442412340000
6111014443312540524
74156253010566062
oct446432437321744
978601644835637
1020241450902500
1164a4395382853
12232ab18b51744
13b3a9b7147049
144dd9974ad032
152517d738e11a
hex1268d47da3e4

20241450902500 has 405 divisors, whose sum is σ = 48345078336093. Its totient is φ = 7411555008000.

The previous prime is 20241450902479. The next prime is 20241450902501. The reversal of 20241450902500 is 520905414202.

It is a happy number.

The square root of 20241450902500 is 4499050.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 9885000097764 + 10356450804736 = 3144042^2 + 3218144^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20241450902501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 256220897461 + ... + 256220897539.

Almost surely, 220241450902500 is an apocalyptic number.

20241450902500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

20241450902500 is the 4499050-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20241450902500

20241450902500 is an abundant number, since it is smaller than the sum of its proper divisors (28103627433593).

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

20241450902500 is an frugal number, since it uses more digits than its factorization.

20241450902500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 34.

The spelling of 20241450902500 in words is "twenty trillion, two hundred forty-one billion, four hundred fifty million, nine hundred two thousand, five hundred".