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6404240700 = 22355211131997
BaseRepresentation
bin1011111011011100…
…01111010100111100
3121112022201010200000
411331232033110330
5101103441200300
62535253034300
7314463101454
oct57556172474
917468633600
106404240700
112797032910
1212a8925990
137b0a63650
1444a798d64
15277387c00
hex17db8f53c

6404240700 has 864 divisors, whose sum is σ = 26009168640. Its totient is φ = 1343692800.

The previous prime is 6404240693. The next prime is 6404240737. The reversal of 6404240700 is 70424046.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 66023052 + ... + 66023148.

Almost surely, 26404240700 is an apocalyptic number.

6404240700 is a gapful number since it is divisible by the number (60) 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 6404240700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13004584320).

6404240700 is an abundant number, since it is smaller than the sum of its proper divisors (19604927940).

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

6404240700 is a wasteful number, since it uses less digits than its factorization.

6404240700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 6404240700 is about 80026.4999859422. The cubic root of 6404240700 is about 1857.0455176088.

Adding to 6404240700 its reverse (70424046), we get a palindrome (6474664746).

The spelling of 6404240700 in words is "six billion, four hundred four million, two hundred forty thousand, seven hundred".