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461346453406464 = 2831297463154609
BaseRepresentation
bin110100011100101111001011…
…1011110010100001100000000
32020111111021211120021122020220
41220321132113132110030000
5440432200014033001324
64313111345042503040
7166114116123116403
oct15071362736241400
92214437746248226
10461346453406464
11123aa9a287417aa
12438b0049964a80
1316a56a26262022
1481cd404c0dd3a
153850a2ee38b79
hex1a39797794300

461346453406464 has 72 divisors (see below), whose sum is σ = 1228801053646320. Its totient is φ = 153663583223808.

The previous prime is 461346453406379. The next prime is 461346453406513. The reversal of 461346453406464 is 464604354643164.

It is a junction number, because it is equal to n+sod(n) for n = 461346453406398 and 461346453406407.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 230581209 + ... + 232573400.

Almost surely, 2461346453406464 is an apocalyptic number.

It is an amenable number.

461346453406464 is an abundant number, since it is smaller than the sum of its proper divisors (767454600239856).

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

461346453406464 is a wasteful number, since it uses less digits than its factorization.

461346453406464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463155925 (or 463155911 counting only the distinct ones).

The product of its (nonzero) digits is 238878720, while the sum is 60.

The spelling of 461346453406464 in words is "four hundred sixty-one trillion, three hundred forty-six billion, four hundred fifty-three million, four hundred six thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 1297 2594 3891 5188 7782 10376 15564 20752 31128 41504 62256 83008 124512 166016 249024 332032 498048 996096 463154609 926309218 1389463827 1852618436 2778927654 3705236872 5557855308 7410473744 11115710616 14820947488 22231421232 29641894976 44462842464 59283789952 88925684928 118567579904 177851369856 355702739712 600711527873 1201423055746 1802134583619 2402846111492 3604269167238 4805692222984 7208538334476 9611384445968 14417076668952 19222768891936 28834153337904 38445537783872 57668306675808 76891075567744 115336613351616 153782151135488 230673226703232 461346453406464