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146867768641 = 1179169007789
BaseRepresentation
bin1000100011001000000…
…0000100110101000001
3112001002110121200012201
42020302000010311001
54401241122044031
6151245313553201
713416343302256
oct2106200046501
9461073550181
10146867768641
11573170323a0
1224569875801
1310b0767a919
1471737a742d
153c48b1ad61
hex2232004d41

146867768641 has 8 divisors (see below), whose sum is σ = 162247478400. Its totient is φ = 131826074640.

The previous prime is 146867768639. The next prime is 146867768651.

It is a happy number.

146867768641 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 146867768641 - 21 = 146867768639 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (146867768651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 84503026 + ... + 84504763.

It is an arithmetic number, because the mean of its divisors is an integer number (20280934800).

Almost surely, 2146867768641 is an apocalyptic number.

146867768641 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

146867768641 is a deficient number, since it is larger than the sum of its proper divisors (15379709759).

146867768641 is a wasteful number, since it uses less digits than its factorization.

146867768641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169007879.

The product of its digits is 65028096, while the sum is 64.

The spelling of 146867768641 in words is "one hundred forty-six billion, eight hundred sixty-seven million, seven hundred sixty-eight thousand, six hundred forty-one".

Divisors: 1 11 79 869 169007789 1859085679 13351615331 146867768641