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420120806961 = 31922338386297
BaseRepresentation
bin1100001110100010010…
…01101100011000110001
31111011101221102021020110
412013101021230120301
523340401411310321
6521000102531533
742231661636542
oct6072111543061
91434357367213
10420120806961
11152199274489
1269509736ba9
133080406328b
14164965344c9
15addd079176
hex61d126c631

420120806961 has 32 divisors (see below), whose sum is σ = 593840701440. Its totient is φ = 263456855424.

The previous prime is 420120806957. The next prime is 420120806969. The reversal of 420120806961 is 169608021024.

It is not a de Polignac number, because 420120806961 - 22 = 420120806957 is a prime.

It is not an unprimeable number, because it can be changed into a prime (420120806969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4825165 + ... + 4911461.

It is an arithmetic number, because the mean of its divisors is an integer number (18557521920).

Almost surely, 2420120806961 is an apocalyptic number.

It is an amenable number.

420120806961 is a deficient number, since it is larger than the sum of its proper divisors (173719894479).

420120806961 is a wasteful number, since it uses less digits than its factorization.

420120806961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86925.

The product of its (nonzero) digits is 41472, while the sum is 39.

Adding to 420120806961 its reverse (169608021024), we get a palindrome (589728827985).

The spelling of 420120806961 in words is "four hundred twenty billion, one hundred twenty million, eight hundred six thousand, nine hundred sixty-one".

Divisors: 1 3 19 57 223 383 669 1149 4237 7277 12711 21831 85409 86297 256227 258891 1622771 1639643 4868313 4918929 19244231 33051751 57732693 99155253 365640389 627983269 1096921167 1883949807 7370540473 22111621419 140040268987 420120806961