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466256341640260 = 225431076477831379
BaseRepresentation
bin110101000000011101100001…
…1100111100010010001000100
32021010212200010010012202010201
41222000323003213202101010
5442103120441424442020
64331351112323300244
7200131623541366153
oct15200730347422104
92233780103182121
10466256341640260
1112562222763a606
124436372951a684
1317021a27300a72
14831ccda8c359a
1538d85e65a2a0a
hex1a80ec39e2444

466256341640260 has 96 divisors (see below), whose sum is σ = 1012835758556160. Its totient is φ = 180183843815808.

The previous prime is 466256341640233. The next prime is 466256341640261. The reversal of 466256341640260 is 62046143652664.

It is a super-2 number, since 2×4662563416402602 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (466256341640261) 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, 55621251 + ... + 63452629.

It is an arithmetic number, because the mean of its divisors is an integer number (10550372484960).

Almost surely, 2466256341640260 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 466256341640260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506417879278080).

466256341640260 is an abundant number, since it is smaller than the sum of its proper divisors (546579416915900).

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

466256341640260 is a wasteful number, since it uses less digits than its factorization.

466256341640260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7832185 (or 7832183 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 55.

The spelling of 466256341640260 in words is "four hundred sixty-six trillion, two hundred fifty-six billion, three hundred forty-one million, six hundred forty thousand, two hundred sixty".

Divisors: 1 2 4 5 10 20 43 86 107 172 214 215 428 430 535 647 860 1070 1294 2140 2588 3235 4601 6470 9202 12940 18404 23005 27821 46010 55642 69229 92020 111284 138458 139105 276916 278210 346145 556420 692290 1384580 2976847 5953694 7831379 11907388 14884235 15662758 29768470 31325516 39156895 59536940 78313790 156627580 336749297 673498594 837957553 1346997188 1675915106 1683746485 3351830212 3367492970 4189787765 5066902213 6734985940 8379575530 10133804426 16759151060 20267608852 25334511065 36032174779 50669022130 72064349558 101338044260 144128699116 180160873895 217876795159 360321747790 435753590318 542158536791 720643495580 871507180636 1084317073582 1089383975795 2168634147164 2178767951590 2710792683955 4357535903180 5421585367910 10843170735820 23312817082013 46625634164026 93251268328052 116564085410065 233128170820130 466256341640260