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457033130116446 = 231367130036725657
BaseRepresentation
bin110011111101010110101000…
…1010111110000010101011110
32012221012221101122112122120210
41213322231101113300111132
5434401012322302211241
64300010042123153250
7165160361010102522
oct14772552127602536
92187187348478523
10457033130116446
11122696731137954
12433140ba675826
13168030682a2440
1480c07430c9d82
1537c8731cad316
hex19fab515f055e

457033130116446 has 64 divisors (see below), whose sum is σ = 999148256563968. Its totient is φ = 138516015230208.

The previous prime is 457033130116363. The next prime is 457033130116447. The reversal of 457033130116446 is 644611031330754.

It is a junction number, because it is equal to n+sod(n) for n = 457033130116395 and 457033130116404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457033130116447) 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, 64590850 + ... + 71316506.

It is an arithmetic number, because the mean of its divisors is an integer number (15611691508812).

Almost surely, 2457033130116446 is an apocalyptic number.

457033130116446 is an abundant number, since it is smaller than the sum of its proper divisors (542115126447522).

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

457033130116446 is a wasteful number, since it uses less digits than its factorization.

457033130116446 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6738745.

The product of its (nonzero) digits is 2177280, while the sum is 48.

The spelling of 457033130116446 in words is "four hundred fifty-seven trillion, thirty-three billion, one hundred thirty million, one hundred sixteen thousand, four hundred forty-six".

Divisors: 1 2 3 6 13 26 39 67 78 134 201 402 871 1742 2613 5226 13003 26006 39009 78018 169039 338078 507117 871201 1014234 1742402 2613603 5227206 6725657 11325613 13451314 20176971 22651226 33976839 40353942 67953678 87433541 174867082 262300623 450619019 524601246 901238038 1351857057 2703714114 5858047247 11716094494 17574141741 35148283482 87453717971 174907435942 262361153913 524722307826 1136898333623 2273796667246 3410695000869 5859399104057 6821390001738 11718798208114 17578197312171 35156394624342 76172188352741 152344376705482 228516565058223 457033130116446