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146543345641 = 7117537252509
BaseRepresentation
bin1000100001111010101…
…0011111111111101001
3112000020212011021112001
42020132222133333221
54400110044030031
6151153204251001
713405323612520
oct2103652377751
9460225137461
10146543345641
115716a997610
12244990a0a61
1310a853ab454
1471426774b7
153c2a3d5861
hex221ea9ffe9

146543345641 has 16 divisors (see below), whose sum is σ = 182728356480. Its totient is φ = 114174017280.

The previous prime is 146543345633. The next prime is 146543345657.

146543345641 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 146543345641 - 23 = 146543345633 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 146543345591 and 146543345600.

It is not an unprimeable number, because it can be changed into a prime (146543345341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 454095 + ... + 706603.

It is an arithmetic number, because the mean of its divisors is an integer number (11420522280).

Almost surely, 2146543345641 is an apocalyptic number.

146543345641 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

146543345641 is a deficient number, since it is larger than the sum of its proper divisors (36185010839).

146543345641 is a wasteful number, since it uses less digits than its factorization.

146543345641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260064.

The product of its digits is 2073600, while the sum is 46.

The spelling of 146543345641 in words is "one hundred forty-six billion, five hundred forty-three million, three hundred forty-five thousand, six hundred forty-one".

Divisors: 1 7 11 77 7537 52759 82907 252509 580349 1767563 2777599 19443193 1903160333 13322122331 20934763663 146543345641