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1006287090481 = 5359371944531
BaseRepresentation
bin11101010010010110110…
…00100111001100110001
310120012101212200201021001
432221023120213030301
5112441333443343411
62050140520402001
7132462506065621
oct16511330471461
93505355621231
101006287090481
11358844913042
12143037616301
1373b7a99241a
14369c1428881
151b2986acdc1
hexea4b627331

1006287090481 has 16 divisors (see below), whose sum is σ = 1028454071040. Its totient is φ = 984242671360.

The previous prime is 1006287090461. The next prime is 1006287090499. The reversal of 1006287090481 is 1840907826001.

1006287090481 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 1006287090481 - 213 = 1006287082289 is a prime.

It is a super-2 number, since 2×10062870904812 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1006287090451) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22575186 + ... + 22619716.

It is an arithmetic number, because the mean of its divisors is an integer number (64278379440).

Almost surely, 21006287090481 is an apocalyptic number.

It is an amenable number.

1006287090481 is a deficient number, since it is larger than the sum of its proper divisors (22166980559).

1006287090481 is an equidigital number, since it uses as much as digits as its factorization.

1006287090481 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45896.

The product of its (nonzero) digits is 193536, while the sum is 46.

The spelling of 1006287090481 in words is "one trillion, six billion, two hundred eighty-seven million, ninety thousand, four hundred eighty-one".

Divisors: 1 53 593 719 31429 38107 44531 426367 2360143 22597451 26406883 32017789 1399564799 1696942817 18986548877 1006287090481