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6490293920 = 2551131472531
BaseRepresentation
bin1100000101101101…
…00000011010100000
3121202022122002111022
412002312200122200
5101243003401140
62552005305012
7316556405465
oct60266403240
917668562438
106490293920
112830668980
121311705168
137c5833006
14457d9966c
1527ebd50b5
hex182da06a0

6490293920 has 192 divisors, whose sum is σ = 17641193472. Its totient is φ = 2234496000.

The previous prime is 6490293919. The next prime is 6490293977. The reversal of 6490293920 is 293920946.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2563055 + ... + 2565585.

It is an arithmetic number, because the mean of its divisors is an integer number (91881216).

Almost surely, 26490293920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6490293920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8820596736).

6490293920 is an abundant number, since it is smaller than the sum of its proper divisors (11150899552).

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

6490293920 is a wasteful number, since it uses less digits than its factorization.

6490293920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2635 (or 2627 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 44.

The square root of 6490293920 is about 80562.3604420824. The cubic root of 6490293920 is about 1865.3261912473.

The spelling of 6490293920 in words is "six billion, four hundred ninety million, two hundred ninety-three thousand, nine hundred twenty".