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1006340632424 = 231491936436803
BaseRepresentation
bin11101010010011101001…
…00110110111101101000
310120012112121102220222222
432221032210312331220
5112441441200214144
62050150112133212
7132464026144601
oct16511644667550
93505477386888
101006340632424
11358872062986
12143051537208
1373b88abaa4a
14369c85a4da8
151b29d2372ee
hexea4e936f68

1006340632424 has 64 divisors (see below), whose sum is σ = 1912645224000. Its totient is φ = 496357502976.

The previous prime is 1006340632411. The next prime is 1006340632433. The reversal of 1006340632424 is 4242360436001.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 147922607 + ... + 147929409.

It is an arithmetic number, because the mean of its divisors is an integer number (29885081625).

Almost surely, 21006340632424 is an apocalyptic number.

It is an amenable number.

1006340632424 is a deficient number, since it is larger than the sum of its proper divisors (906304591576).

1006340632424 is a wasteful number, since it uses less digits than its factorization.

1006340632424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7794 (or 7790 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 35.

The spelling of 1006340632424 in words is "one trillion, six billion, three hundred forty million, six hundred thirty-two thousand, four hundred twenty-four".

Divisors: 1 2 4 8 149 193 298 386 596 643 772 1192 1286 1544 2572 5144 6803 13606 27212 28757 54424 57514 95807 115028 124099 191614 230056 248198 383228 496396 766456 992792 1013647 1312979 2027294 2625958 4054588 4374329 5251916 8109176 8748658 10503832 17497316 18490751 34994632 36981502 73963004 147926008 195633871 391267742 651775021 782535484 844245497 1303550042 1565070968 1688490994 2607100084 3376981988 5214200168 6753963976 125792579053 251585158106 503170316212 1006340632424