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63474788374368 = 2537315965379087
BaseRepresentation
bin11100110111010111000000…
…01101101001011101100000
322022202010112010202020001120
432123223200031221131200
531304432331310434433
6342555525404332240
716240621266663360
oct1633534015513540
9268663463666046
1063474788374368
1119252563286838
127151a0a244080
1329558541c7b87
1411962a633c9a0
157511d18a37b3
hex39bae0369760

63474788374368 has 384 divisors, whose sum is σ = 200207387197440. Its totient is φ = 17226525173760.

The previous prime is 63474788374357. The next prime is 63474788374369. The reversal of 63474788374368 is 86347388747436.

63474788374368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 63474788374293 and 63474788374302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63474788374369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 802554921 + ... + 802634007.

It is an arithmetic number, because the mean of its divisors is an integer number (521373404160).

Almost surely, 263474788374368 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 63474788374368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100103693598720).

63474788374368 is an abundant number, since it is smaller than the sum of its proper divisors (136732598823072).

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

63474788374368 is a wasteful number, since it uses less digits than its factorization.

63474788374368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79850 (or 79842 counting only the distinct ones).

The product of its digits is 10924720128, while the sum is 78.

The spelling of 63474788374368 in words is "sixty-three trillion, four hundred seventy-four billion, seven hundred eighty-eight million, three hundred seventy-four thousand, three hundred sixty-eight".