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30705672540 = 2235677638227
BaseRepresentation
bin11100100110001100…
…110110000101011100
32221020221010210010010
4130212030312011130
51000341123010130
622034521043220
72134625624124
oct344614660534
987227123103
1030705672540
1112027608284
125b4b326510
132b8463c40a
1416b405bc84
15beaa6c0b0
hex72633615c

30705672540 has 48 divisors (see below), whose sum is σ = 87259116672. Its totient is φ = 8065966656.

The previous prime is 30705672539. The next prime is 30705672553. The reversal of 30705672540 is 4527650703.

It is a super-2 number, since 2×307056725402 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3815094 + ... + 3823133.

It is an arithmetic number, because the mean of its divisors is an integer number (1817898264).

Almost surely, 230705672540 is an apocalyptic number.

30705672540 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30705672540 is an abundant number, since it is smaller than the sum of its proper divisors (56553444132).

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

30705672540 is a wasteful number, since it uses less digits than its factorization.

30705672540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7638306 (or 7638304 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 39.

The spelling of 30705672540 in words is "thirty billion, seven hundred five million, six hundred seventy-two thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 67 134 201 268 335 402 670 804 1005 1340 2010 4020 7638227 15276454 22914681 30552908 38191135 45829362 76382270 91658724 114573405 152764540 229146810 458293620 511761209 1023522418 1535283627 2047044836 2558806045 3070567254 5117612090 6141134508 7676418135 10235224180 15352836270 30705672540