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20768339540 = 2251379878229
BaseRepresentation
bin10011010101111000…
…111011011001010100
31222121101021221221202
4103111320323121110
5320013143331130
613312453332032
71333441654604
oct232570733124
958541257852
1020768339540
118898205983
124037337018
131c5c923b10
14101036cc04
1581843c145
hex4d5e3b654

20768339540 has 24 divisors (see below), whose sum is σ = 46968399240. Its totient is φ = 7668309888.

The previous prime is 20768339513. The next prime is 20768339567. The reversal of 20768339540 is 4593386702.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20768339513) and next prime (20768339567).

It can be written as a sum of positive squares in 4 ways, for example, as 1665782596 + 19102556944 = 40814^2 + 138212^2 .

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 39938855 + ... + 39939374.

It is an arithmetic number, because the mean of its divisors is an integer number (1957016635).

Almost surely, 220768339540 is an apocalyptic number.

20768339540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20768339540 is an abundant number, since it is smaller than the sum of its proper divisors (26200059700).

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

20768339540 is a wasteful number, since it uses less digits than its factorization.

20768339540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79878251 (or 79878249 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 47.

The spelling of 20768339540 in words is "twenty billion, seven hundred sixty-eight million, three hundred thirty-nine thousand, five hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 79878229 159756458 319512916 399391145 798782290 1038416977 1597564580 2076833954 4153667908 5192084885 10384169770 20768339540