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463165505561364 = 223314263312920427
BaseRepresentation
bin110100101001111110001111…
…1011011100110001100010100
32020201221012010102211112221020
41221103330133123212030110
5441202000423410430424
64321023143523321140
7166362414000244524
oct15123743733461424
92221835112745836
10463165505561364
1112464042a20a351
1243b446b28201b0
1316b594206a5b68
148253489a51684
153882ee73d0079
hex1a53f1f6e6314

463165505561364 has 48 divisors (see below), whose sum is σ = 1115584431446016. Its totient is φ = 149407825989600.

The previous prime is 463165505561357. The next prime is 463165505561537.

463165505561364 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 463165505561298 and 463165505561307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 157134919 + ... + 160055345.

It is an arithmetic number, because the mean of its divisors is an integer number (23241342321792).

Almost surely, 2463165505561364 is an apocalyptic number.

It is an amenable number.

463165505561364 is an abundant number, since it is smaller than the sum of its proper divisors (652418925884652).

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

463165505561364 is a wasteful number, since it uses less digits than its factorization.

463165505561364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3346796 (or 3346794 counting only the distinct ones).

The product of its (nonzero) digits is 116640000, while the sum is 60.

The spelling of 463165505561364 in words is "four hundred sixty-three trillion, one hundred sixty-five billion, five hundred five million, five hundred sixty-one thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 12 31 62 93 124 186 372 426331 852662 1278993 1705324 2557986 2920427 5115972 5840854 8761281 11681708 13216261 17522562 26432522 35045124 39648783 52865044 79297566 90533237 158595132 181066474 271599711 362132948 543199422 1086398844 1245068563337 2490137126674 3735205690011 4980274253348 7470411380022 14940822760044 38597125463447 77194250926894 115791376390341 154388501853788 231582752780682 463165505561364