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4301053697248 = 257117143956003
BaseRepresentation
bin111110100101101010110…
…001110001110011100000
3120020011202211100002120021
4332211222301301303200
51030432024221302443
613051513215323224
7622512056133220
oct76455261616340
916204684302507
104301053697248
111409080758240
125956a6220514
13252784015729
1410c25a3aa080
1576d30e059ed
hex3e96ac71ce0

4301053697248 has 192 divisors, whose sum is σ = 10730402242560. Its totient is φ = 1648340467200.

The previous prime is 4301053697219. The next prime is 4301053697263. The reversal of 4301053697248 is 8427963501034.

It is a happy number.

It is a super-2 number, since 2×43010536972482 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4301053697195 and 4301053697204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76772415 + ... + 76828417.

It is an arithmetic number, because the mean of its divisors is an integer number (55887511680).

It is a 1-persistent number, because it is pandigital, but 2⋅4301053697248 = 8602107394496 is not.

Almost surely, 24301053697248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4301053697248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5365201121280).

4301053697248 is an abundant number, since it is smaller than the sum of its proper divisors (6429348545312).

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

4301053697248 is a wasteful number, since it uses less digits than its factorization.

4301053697248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56541 (or 56533 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 52.

The spelling of 4301053697248 in words is "four trillion, three hundred one billion, fifty-three million, six hundred ninety-seven thousand, two hundred forty-eight".