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469656217907968 = 28721323125219753
BaseRepresentation
bin110101011001001100101110…
…0000010001111001100000000
32021120220200210100020010210011
41222302121130002033030000
5443024321413241023333
64342513030555114304
7200632353622006600
oct15262313402171400
92246820710203704
10469656217907968
111267130a1107793
1244812631142994
131720a511939310
1483d96a7370c00
153946c818ed9cd
hex1ab265c08f300

469656217907968 has 216 divisors, whose sum is σ = 1225484660318688. Its totient is φ = 177719886102528.

The previous prime is 469656217907951. The next prime is 469656217907999. The reversal of 469656217907968 is 869709712656964.

It is a Sastry number since concatenated with its successor gives a square.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58859221 + ... + 66360532.

It is an arithmetic number, because the mean of its divisors is an integer number (5673540094068).

Almost surely, 2469656217907968 is an apocalyptic number.

It is an amenable number.

469656217907968 is an abundant number, since it is smaller than the sum of its proper divisors (755828442410720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

469656217907968 is a wasteful number, since it uses less digits than its factorization.

469656217907968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125219819 (or 125219798 counting only the distinct ones).

The product of its (nonzero) digits is 14814213120, while the sum is 85.

The spelling of 469656217907968 in words is "four hundred sixty-nine trillion, six hundred fifty-six billion, two hundred seventeen million, nine hundred seven thousand, nine hundred sixty-eight".