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20241669000 = 2335371997523
BaseRepresentation
bin10010110110011111…
…110101101110001000
31221020200021022210110
4102312133311232020
5312423331402000
613144321114320
71314415230150
oct226637655610
957220238713
1020241669000
118647992573
123b0aa889a0
131ba7791347
14da0433760
157d70a6850
hex4b67f5b88

20241669000 has 512 divisors, whose sum is σ = 76904755200. Its totient is φ = 4329676800.

The previous prime is 20241668989. The next prime is 20241669013. The reversal of 20241669000 is 96614202.

It is a super-2 number, since 2×202416690002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 38702739 + ... + 38703261.

It is an arithmetic number, because the mean of its divisors is an integer number (150204600).

Almost surely, 220241669000 is an apocalyptic number.

20241669000 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 20241669000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38452377600).

20241669000 is an abundant number, since it is smaller than the sum of its proper divisors (56663086200).

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

20241669000 is a wasteful number, since it uses less digits than its factorization.

20241669000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670 (or 656 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The spelling of 20241669000 in words is "twenty billion, two hundred forty-one million, six hundred sixty-nine thousand".