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20241604000 = 25535060401
BaseRepresentation
bin10010110110011111…
…100101110110100000
31221020200011000122001
4102312133211312200
5312423322312000
613144315453344
71314414536512
oct226637456640
957220130561
1020241604000
118647948752
123b0aa57254
131ba776a897
14da0417bb2
157d709246a
hex4b67e5da0

20241604000 has 48 divisors (see below), whose sum is σ = 49733630856. Its totient is φ = 8096640000.

The previous prime is 20241603973. The next prime is 20241604027. The reversal of 20241604000 is 40614202.

It is an interprime number because it is at equal distance from previous prime (20241603973) and next prime (20241604027).

It can be written as a sum of positive squares in 4 ways, for example, as 1687895056 + 18553708944 = 41084^2 + 136212^2 .

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 2526201 + ... + 2534200.

Almost surely, 220241604000 is an apocalyptic number.

20241604000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20241604000 is an abundant number, since it is smaller than the sum of its proper divisors (29492026856).

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

20241604000 is an equidigital number, since it uses as much as digits as its factorization.

20241604000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5060426 (or 5060408 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The spelling of 20241604000 in words is "twenty billion, two hundred forty-one million, six hundred four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 4000 5060401 10120802 20241604 25302005 40483208 50604010 80966416 101208020 126510025 161932832 202416040 253020050 404832080 506040100 632550125 809664160 1012080200 1265100250 2024160400 2530200500 4048320800 5060401000 10120802000 20241604000