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461314303413164 = 2217103157419518513
BaseRepresentation
bin110100011100100000001101…
…1001011110100101110101100
32020111101012211222101202112022
41220321000123023310232230
5440431133143133210124
64313044510524525312
7166111600325514455
oct15071003313645654
92214335758352468
10461314303413164
11123a9732a923a03
12438a59769b0838
1316a539a1626a56
1481cba3502412c
15384ec9c6bec5e
hex1a3901b2f4bac

461314303413164 has 48 divisors (see below), whose sum is σ = 868584555978048. Its totient is φ = 213612114014208.

The previous prime is 461314303413101. The next prime is 461314303413199.

It is a happy number.

461314303413164 is nontrivially palindromic in base 10.

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, 208659629 + ... + 210858884.

It is an arithmetic number, because the mean of its divisors is an integer number (18095511582876).

Almost surely, 2461314303413164 is an apocalyptic number.

It is an amenable number.

461314303413164 is a deficient number, since it is larger than the sum of its proper divisors (407270252564884).

461314303413164 is a wasteful number, since it uses less digits than its factorization.

461314303413164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419518794 (or 419518792 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 44.

It can be divided in two parts, 46131430 and 3413164, that added together give a palindrome (49544594).

The spelling of 461314303413164 in words is "four hundred sixty-one trillion, three hundred fourteen billion, three hundred three million, four hundred thirteen thousand, one hundred sixty-four".

Divisors: 1 2 4 17 34 68 103 157 206 314 412 628 1751 2669 3502 5338 7004 10676 16171 32342 64684 274907 549814 1099628 419518513 839037026 1678074052 7131814721 14263629442 28527258884 43210406839 65864406541 86420813678 131728813082 172841627356 263457626164 734576916263 1119694911197 1469153832526 2239389822394 2938307665052 4478779644788 6784033873723 13568067747446 27136135494892 115328575853291 230657151706582 461314303413164