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465325606523564 = 2231313101031186699
BaseRepresentation
bin110100111001101100000111…
…1011110110101001010101100
32021000120200201120212221222222
41221303120033132311022230
5441442343320232223224
64325355344343454512
7200004444213416333
oct15163301736651254
92230520646787888
10465325606523564
111252a3532961726
1244233278157438
1316c8502a096597
1482c9c455b6d1a
1538be2c0b3eb5e
hex1a7360f7b52ac

465325606523564 has 48 divisors (see below), whose sum is σ = 843357956044800. Its totient is φ = 224415794229120.

The previous prime is 465325606523551. The next prime is 465325606523611.

It is a happy number.

465325606523564 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (62).

It is a junction number, because it is equal to n+sod(n) for n = 465325606523497 and 465325606523506.

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, 391524287 + ... + 392710985.

It is an arithmetic number, because the mean of its divisors is an integer number (17569957417600).

Almost surely, 2465325606523564 is an apocalyptic number.

It is an amenable number.

465325606523564 is a deficient number, since it is larger than the sum of its proper divisors (378032349521236).

465325606523564 is a wasteful number, since it uses less digits than its factorization.

465325606523564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1197150 (or 1197148 counting only the distinct ones).

The product of its (nonzero) digits is 466560000, while the sum is 62.

The spelling of 465325606523564 in words is "four hundred sixty-five trillion, three hundred twenty-five billion, six hundred six million, five hundred twenty-three thousand, five hundred sixty-four".

Divisors: 1 2 4 31 62 124 313 626 1252 9703 10103 19406 20206 38812 40412 313193 626386 1186699 1252772 2373398 3162239 4746796 6324478 12648956 36787669 73575338 98029409 147150676 196058818 371436787 392117636 742873574 1485747148 11514540397 11989219997 23029080794 23978439994 46058161588 47956879988 371665819907 743331639814 1486663279628 3752625859061 7505251718122 15010503436244 116331401630891 232662803261782 465325606523564