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1005607247134 = 27719710429663
BaseRepresentation
bin11101010001000101101…
…11001101110100011110
310120010122111110002111211
432220202313031310132
5112433440423402014
62045545233135034
7132436612365220
oct16504267156436
93503574402454
101005607247134
11358526090736
12142a879ba47a
1373a9cb8c859
143695901a410
151b258b6ccc4
hexea22dcdd1e

1005607247134 has 32 divisors (see below), whose sum is σ = 1766201020416. Its totient is φ = 420523971840.

The previous prime is 1005607247131. The next prime is 1005607247179. The reversal of 1005607247134 is 4317427065001.

It is a super-2 number, since 2×10056072471342 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005607247131) 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, 5118414 + ... + 5311249.

It is an arithmetic number, because the mean of its divisors is an integer number (55193781888).

Almost surely, 21005607247134 is an apocalyptic number.

1005607247134 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1005607247134 is a deficient number, since it is larger than the sum of its proper divisors (760593773282).

1005607247134 is a wasteful number, since it uses less digits than its factorization.

1005607247134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10429840.

The product of its (nonzero) digits is 141120, while the sum is 40.

The spelling of 1005607247134 in words is "one trillion, five billion, six hundred seven million, two hundred forty-seven thousand, one hundred thirty-four".

Divisors: 1 2 7 14 71 97 142 194 497 679 994 1358 6887 13774 48209 96418 10429663 20859326 73007641 146015282 740506073 1011677311 1481012146 2023354622 5183542511 7081741177 10367085022 14163482354 71829089081 143658178162 502803623567 1005607247134