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461313343601344 = 26132225572491331
BaseRepresentation
bin110100011100011111110000…
…1111110011011101011000000
32020111101010101002100021020101
41220320333201332123223000
5440431124211430220334
64313044231400452144
7166111534462324333
oct15070774176335300
92214333332307211
10461313343601344
11123a9698805a0a3
12438a574947a054
1316a5387a81ac70
1481cb98377861a
15384ec432cb214
hex1a38fe1f9bac0

461313343601344 has 56 divisors (see below), whose sum is σ = 985840311981168. Its totient is φ = 212912808760320.

The previous prime is 461313343601309. The next prime is 461313343601347. The reversal of 461313343601344 is 443106343313164.

It is a junction number, because it is equal to n+sod(n) for n = 461313343601294 and 461313343601303.

It is not an unprimeable number, because it can be changed into a prime (461313343601347) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 183921759 + ... + 186413089.

It is an arithmetic number, because the mean of its divisors is an integer number (17604291285378).

Almost surely, 2461313343601344 is an apocalyptic number.

It is an amenable number.

461313343601344 is an abundant number, since it is smaller than the sum of its proper divisors (524526968379824).

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

461313343601344 is a wasteful number, since it uses less digits than its factorization.

461313343601344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2713913 (or 2713903 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 46.

The spelling of 461313343601344 in words is "four hundred sixty-one trillion, three hundred thirteen billion, three hundred forty-three million, six hundred one thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 832 222557 445114 890228 1780456 2491331 2893241 3560912 4982662 5786482 7121824 9965324 11572964 14243648 19930648 23145928 32387303 39861296 46291856 64774606 79722592 92583712 129549212 159445184 185167424 259098424 518196848 1036393696 2072787392 554463153367 1108926306734 2217852613468 4435705226936 7208020993771 8871410453872 14416041987542 17742820907744 28832083975084 35485641815488 57664167950168 115328335900336 230656671800672 461313343601344