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6426753140 = 225465769001
BaseRepresentation
bin1011111110001000…
…00111100001110100
3121120220001212221002
411333010013201310
5101130222100030
62541415342432
7315155333423
oct57704074164
917526055832
106426753140
1127a8809835
1212b4381a18
137b5616512
1444d7792ba
15279333245
hex17f107874

6426753140 has 24 divisors (see below), whose sum is σ = 13499275272. Its totient is φ = 2570112000.

The previous prime is 6426753131. The next prime is 6426753143. The reversal of 6426753140 is 413576246.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 349615204 + 6077137936 = 18698^2 + 77956^2 .

It is a junction number, because it is equal to n+sod(n) for n = 6426753094 and 6426753103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6426753143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58640 + ... + 127640.

It is an arithmetic number, because the mean of its divisors is an integer number (562469803).

Almost surely, 26426753140 is an apocalyptic number.

It is an amenable number.

6426753140 is an abundant number, since it is smaller than the sum of its proper divisors (7072522132).

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

6426753140 is a wasteful number, since it uses less digits than its factorization.

6426753140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73667 (or 73665 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 38.

The square root of 6426753140 is about 80167.0327503769. The cubic root of 6426753140 is about 1859.2189594694.

The spelling of 6426753140 in words is "six billion, four hundred twenty-six million, seven hundred fifty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 4657 9314 18628 23285 46570 69001 93140 138002 276004 345005 690010 1380020 321337657 642675314 1285350628 1606688285 3213376570 6426753140