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1020906846641 = 117113719947947
BaseRepresentation
bin11101101101100101100…
…10100011100110110001
310121121010202100021110102
432312302302203212301
5113211304123043031
62100555332442145
7133521011005463
oct16666262434661
93547122307412
101020906846641
11363a67333250
12145a37779355
137536a7c6306
14375aad4c133
151b851e127cb
hexedb2ca39b1

1020906846641 has 32 divisors (see below), whose sum is σ = 1143387187200. Its totient is φ = 903762921600.

The previous prime is 1020906846637. The next prime is 1020906846671. The reversal of 1020906846641 is 1466486090201.

It is a happy number.

It is not a de Polignac number, because 1020906846641 - 22 = 1020906846637 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1020906846671) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21268430 + ... + 21316376.

It is an arithmetic number, because the mean of its divisors is an integer number (35730849600).

Almost surely, 21020906846641 is an apocalyptic number.

1020906846641 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1020906846641 is a deficient number, since it is larger than the sum of its proper divisors (122480340559).

1020906846641 is a wasteful number, since it uses less digits than its factorization.

1020906846641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48365.

The product of its (nonzero) digits is 497664, while the sum is 47.

The spelling of 1020906846641 in words is "one trillion, twenty billion, nine hundred six million, eight hundred forty-six thousand, six hundred forty-one".

Divisors: 1 11 71 137 199 781 1507 2189 9727 14129 27263 47947 106997 155419 299893 527417 1935673 3404237 6568739 9541453 21292403 37446607 72256129 104955983 466380469 677443163 1307179061 5130185159 7451874793 14378969671 92809713331 1020906846641