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6426322840 = 235724195233
BaseRepresentation
bin1011111110000100…
…11110011110011000
3121120212021000200001
411333002132132120
5101130114312330
62541402222344
7315151562050
oct57702363630
917525230601
106426322840
1127a8545513
1212b41b49b4
137b54c56c2
1444d6a6560
1527929a9ca
hex17f09e798

6426322840 has 64 divisors (see below), whose sum is σ = 16593572160. Its totient is φ = 2194145280.

The previous prime is 6426322829. The next prime is 6426322849. The reversal of 6426322840 is 482236246.

It is a self number, because there is not a number n which added to its sum of digits gives 6426322840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6426322849) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 19864 + ... + 115096.

It is an arithmetic number, because the mean of its divisors is an integer number (259274565).

Almost surely, 26426322840 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 6426322840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8296786080).

6426322840 is an abundant number, since it is smaller than the sum of its proper divisors (10167249320).

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

6426322840 is a wasteful number, since it uses less digits than its factorization.

6426322840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95492 (or 95488 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 37.

The square root of 6426322840 is about 80164.3489339245. The cubic root of 6426322840 is about 1859.1774641888.

It can be divided in two parts, 6426 and 322840, that added together give a triangular number (329266 = T811).

The spelling of 6426322840 in words is "six billion, four hundred twenty-six million, three hundred twenty-two thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 241 280 482 964 1205 1687 1928 2410 3374 4820 6748 8435 9640 13496 16870 33740 67480 95233 190466 380932 476165 666631 761864 952330 1333262 1904660 2666524 3333155 3809320 5333048 6666310 13332620 22951153 26665240 45902306 91804612 114755765 160658071 183609224 229511530 321316142 459023060 642632284 803290355 918046120 1285264568 1606580710 3213161420 6426322840