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346012727210643 = 31429408011978189
BaseRepresentation
bin100111010101100100101110…
…1101100010111001010010011
31200101010111022212220102212210
41032223021131230113022103
5330323033031131220033
63223524015155523203
7132611410640543343
oct11653113554271223
91611114285812783
10346012727210643
11a028319aa82749
12329837022b9503
1311b0bb24a3c72c
14616316913ad23
152a008b9a2dd63
hex13ab25db17293

346012727210643 has 16 divisors (see below), whose sum is σ = 461684699933600. Its totient is φ = 230507961062400.

The previous prime is 346012727210627. The next prime is 346012727210681.

346012727210643 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 346012727210643 - 24 = 346012727210627 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 346012727210592 and 346012727210601.

It is not an unprimeable number, because it can be changed into a prime (346012727210243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 173924793 + ... + 175902981.

It is an arithmetic number, because the mean of its divisors is an integer number (28855293745850).

Almost surely, 2346012727210643 is an apocalyptic number.

346012727210643 is a deficient number, since it is larger than the sum of its proper divisors (115671972722957).

346012727210643 is a wasteful number, since it uses less digits than its factorization.

346012727210643 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2020422.

The product of its (nonzero) digits is 2032128, while the sum is 48.

The spelling of 346012727210643 in words is "three hundred forty-six trillion, twelve billion, seven hundred twenty-seven million, two hundred ten thousand, six hundred forty-three".

Divisors: 1 3 1429 4287 40801 122403 1978189 5934567 58304629 174913887 2826832081 8480496243 80712089389 242136268167 115337575736881 346012727210643