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1006380616461 = 31130496382317
BaseRepresentation
bin11101010010100001111…
…01011000101100001101
310120012122101200022210020
432221100331120230031
5112442031414211321
62050154101132353
7132465023045253
oct16512075305415
93505571608706
101006380616461
11358892692540
121430629ba0b9
1373b9417a23c
14369cda125d3
151b2a19d44c6
hexea50f58b0d

1006380616461 has 8 divisors (see below), whose sum is σ = 1463826351264. Its totient is φ = 609927646320.

The previous prime is 1006380616459. The next prime is 1006380616529. The reversal of 1006380616461 is 1646160836001.

It is a happy number.

1006380616461 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 1006380616461 - 21 = 1006380616459 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006380616421) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15248191126 + ... + 15248191191.

It is an arithmetic number, because the mean of its divisors is an integer number (182978293908).

Almost surely, 21006380616461 is an apocalyptic number.

1006380616461 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1006380616461 is a deficient number, since it is larger than the sum of its proper divisors (457445734803).

1006380616461 is a wasteful number, since it uses less digits than its factorization.

1006380616461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30496382331.

The product of its (nonzero) digits is 124416, while the sum is 42.

The spelling of 1006380616461 in words is "one trillion, six billion, three hundred eighty million, six hundred sixteen thousand, four hundred sixty-one".

Divisors: 1 3 11 33 30496382317 91489146951 335460205487 1006380616461