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10067764413 = 377323892749
BaseRepresentation
bin10010110000001010…
…11110010010111101
3221222122021102102110
421120011132102331
5131104321430123
64343003044233
7504326404560
oct113005362275
927878242373
1010067764413
1142a6a99463
121b4b810679
13c45a55565
146b71624d7
153ddce6493
hex25815e4bd

10067764413 has 32 divisors (see below), whose sum is σ = 15563680000. Its totient is φ = 5669761536.

The previous prime is 10067764373. The next prime is 10067764423. The reversal of 10067764413 is 31446776001.

10067764413 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10067764413 - 26 = 10067764349 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10067764423) 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 31 ways as a sum of consecutive naturals, for example, 3660963 + ... + 3663711.

It is an arithmetic number, because the mean of its divisors is an integer number (486365000).

Almost surely, 210067764413 is an apocalyptic number.

It is an amenable number.

10067764413 is a deficient number, since it is larger than the sum of its proper divisors (5495915587).

10067764413 is a wasteful number, since it uses less digits than its factorization.

10067764413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5221.

The product of its (nonzero) digits is 84672, while the sum is 39.

The spelling of 10067764413 in words is "ten billion, sixty-seven million, seven hundred sixty-four thousand, four hundred thirteen".

Divisors: 1 3 7 21 73 219 511 1533 2389 2749 7167 8247 16723 19243 50169 57729 174397 200677 523191 602031 1220779 1404739 3662337 4214217 6567361 19702083 45971527 137914581 479417353 1438252059 3355921471 10067764413