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1063253824164 = 223272245512
BaseRepresentation
bin11110111100011101101…
…11011101001010100100
310202122102222122121212100
433132032313131022210
5114410020434333124
62132241351252100
7136550264246400
oct17361667351244
93678388577770
101063253824164
1137aa18079234
1215209567a030
1379358b8b46c
14396670d6100
151c9ce99a1c9
hexf78eddd2a4

1063253824164 has 81 divisors (see below), whose sum is σ = 3126599905611. Its totient is φ = 303774433200.

The previous prime is 1063253824111. The next prime is 1063253824169. The reversal of 1063253824164 is 4614283523601.

The square root of 1063253824164 is 1031142.

It is a perfect power (a square), and thus also a powerful number.

1063253824164 is a `hidden beast` number, since 1 + 0 + 6 + 32 + 538 + 24 + 1 + 64 = 666.

It is a super-2 number, since 2×10632538241642 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1063253824169) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 43295689 + ... + 43320239.

Almost surely, 21063253824164 is an apocalyptic number.

1063253824164 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1063253824164 is the 1031142-nd square number.

It is an amenable number.

1063253824164 is an abundant number, since it is smaller than the sum of its proper divisors (2063346081447).

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

1063253824164 is an frugal number, since it uses more digits than its factorization.

1063253824164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49126 (or 24563 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 1063253824164 in words is "one trillion, sixty-three billion, two hundred fifty-three million, eight hundred twenty-four thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 24551 49102 73653 98204 147306 171857 220959 294612 343714 441918 515571 687428 883836 1031142 1202999 1546713 2062284 2405998 3093426 3608997 4811996 6186852 7217994 10826991 14435988 21653982 43307964 602751601 1205503202 1808254803 2411006404 3616509606 4219261207 5424764409 7233019212 8438522414 10849528818 12657783621 16877044828 21699057636 25315567242 29534828449 37973350863 50631134484 59069656898 75946701726 88604485347 118139313796 151893403452 177208970694 265813456041 354417941388 531626912082 1063253824164