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201466461645004 = 2219471231148130937
BaseRepresentation
bin101101110011101110010000…
…111000010110100011001100
3222102100000011002221020100211
4231303232100320112203030
5202401311303140120004
61552252225331532204
760302320505530453
oct5563562070264314
9872300132836324
10201466461645004
11592144a0419186
121a71967245a064
13885528a234bca
1437a7058d41b9a
151845911d78504
hexb73b90e168cc

201466461645004 has 96 divisors (see below), whose sum is σ = 379594944368640. Its totient is φ = 93259121126400.

The previous prime is 201466461644999. The next prime is 201466461645013. The reversal of 201466461645004 is 400546164664102.

It is a happy number.

201466461645004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6512137024 + ... + 6512167960.

It is an arithmetic number, because the mean of its divisors is an integer number (3954114003840).

Almost surely, 2201466461645004 is an apocalyptic number.

It is an amenable number.

201466461645004 is a deficient number, since it is larger than the sum of its proper divisors (178128482723636).

201466461645004 is a wasteful number, since it uses less digits than its factorization.

201466461645004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33719 (or 33717 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 49.

The spelling of 201466461645004 in words is "two hundred one trillion, four hundred sixty-six billion, four hundred sixty-one million, six hundred forty-five thousand, four".

Divisors: 1 2 4 19 38 47 76 94 188 893 1231 1481 1786 2462 2962 3572 4924 5924 23389 28139 30937 46778 56278 57857 61874 69607 93556 112556 115714 123748 139214 231428 278428 587803 1099283 1175606 1322533 1454039 1823111 2198566 2351212 2645066 2908078 3646222 4397132 5290132 5816156 7292444 27626741 34639109 38083447 45817697 55253482 69278218 76166894 85686217 91635394 110506964 138556436 152333788 171372434 183270788 342744868 723585493 870536243 1447170986 1628038123 1741072486 1789922009 2153431759 2894341972 3256076246 3482144972 3579844018 4306863518 6512152492 7159688036 8613727036 34008518171 40915203421 56401585007 68017036342 81830406842 112803170014 136034072684 163660813684 225606340028 1071630115133 2143260230266 2650874495329 4286520460532 5301748990658 10603497981316 50366615411251 100733230822502 201466461645004