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253016120064 = 2832819116867
BaseRepresentation
bin1110101110100011101…
…1111001101100000000
3220012002010110122000210
43223220323321230000
513121134111320224
6312122313314120
724164655351501
oct3535073715400
9805063418023
10253016120064
1198338004964
1241052705940
131ab22bc8816
14c363212ba8
1568ac9e4429
hex3ae8ef9b00

253016120064 has 72 divisors (see below), whose sum is σ = 673636501440. Its totient is φ = 84308067328.

The previous prime is 253016120057. The next prime is 253016120083. The reversal of 253016120064 is 460021610352.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2106559 + ... + 2223425.

It is an arithmetic number, because the mean of its divisors is an integer number (9356062520).

Almost surely, 2253016120064 is an apocalyptic number.

253016120064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

253016120064 is an abundant number, since it is smaller than the sum of its proper divisors (420620381376).

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

253016120064 is a wasteful number, since it uses less digits than its factorization.

253016120064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119705 (or 119691 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The spelling of 253016120064 in words is "two hundred fifty-three billion, sixteen million, one hundred twenty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 2819 5638 8457 11276 16914 22552 33828 45104 67656 90208 116867 135312 180416 233734 270624 350601 360832 467468 541248 701202 721664 934936 1082496 1402404 1869872 2164992 2804808 3739744 5609616 7479488 11219232 14958976 22438464 29917952 44876928 89753856 329448073 658896146 988344219 1317792292 1976688438 2635584584 3953376876 5271169168 7906753752 10542338336 15813507504 21084676672 31627015008 42169353344 63254030016 84338706688 126508060032 253016120064