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63326940348672 = 28337211134912663
BaseRepresentation
bin11100110011000011100111…
…10010001100000100000000
322022012222220100121022222000
432121201303302030010000
531300022033212124142
6342403554512144000
716224135421335600
oct1631416362140400
9268188810538860
1063326940348672
11191a5893995850
127129228238000
1329449217334c0
14118d07c6c6c00
1574c42bba614c
hex399873c8c100

63326940348672 has 1728 divisors, whose sum is σ = 256545471006720. Its totient is φ = 15146669260800.

The previous prime is 63326940348599. The next prime is 63326940348689. The reversal of 63326940348672 is 27684304962336.

63326940348672 is a `hidden beast` number, since 63 + 3 + 2 + 6 + 94 + 0 + 3 + 486 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 23780299213 + ... + 23780301875.

It is an arithmetic number, because the mean of its divisors is an integer number (148463814240).

Almost surely, 263326940348672 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 63326940348672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128272735503360).

63326940348672 is an abundant number, since it is smaller than the sum of its proper divisors (193218530658048).

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

63326940348672 is a wasteful number, since it uses less digits than its factorization.

63326940348672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3217 (or 3190 counting only the distinct ones).

The product of its (nonzero) digits is 188116992, while the sum is 63.

The spelling of 63326940348672 in words is "sixty-three trillion, three hundred twenty-six billion, nine hundred forty million, three hundred forty-eight thousand, six hundred seventy-two".