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1009309332540 = 2235105607159287
BaseRepresentation
bin11101010111111111000…
…01100011010000111100
310120111012111120111222010
432223333201203100330
5113014031142120130
62051400441451220
7132630424526145
oct16537741432074
93514174514863
101009309332540
1135a055895253
1214373b7a0b10
137423cb63732
1436bca980acc
151b3c3b970b0
hexeaff86343c

1009309332540 has 48 divisors (see below), whose sum is σ = 2826110633472. Its totient is φ = 269144917056.

The previous prime is 1009309332509. The next prime is 1009309332541. The reversal of 1009309332540 is 452339039001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1009309332541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6256777 + ... + 6416063.

It is an arithmetic number, because the mean of its divisors is an integer number (58877304864).

Almost surely, 21009309332540 is an apocalyptic number.

1009309332540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1009309332540 is an abundant number, since it is smaller than the sum of its proper divisors (1816801300932).

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

1009309332540 is a wasteful number, since it uses less digits than its factorization.

1009309332540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264906 (or 264904 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 39.

The spelling of 1009309332540 in words is "one trillion, nine billion, three hundred nine million, three hundred thirty-two thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 105607 159287 211214 316821 318574 422428 477861 528035 633642 637148 796435 955722 1056070 1267284 1584105 1592870 1911444 2112140 2389305 3168210 3185740 4778610 6336420 9557220 16821822209 33643644418 50465466627 67287288836 84109111045 100930933254 168218222090 201861866508 252327333135 336436444180 504654666270 1009309332540