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378111848464 = 2472219612
BaseRepresentation
bin1011000000010010011…
…10001111000000010000
31100010222021011001202201
411200021032033000100
522143333113122324
6445411401052544
736213651453100
oct5401116170020
91303867131681
10378111848464
111363a1310169
1261344a87154
132986aa1ab9c
141442d219200
159c80010444
hex580938f010

378111848464 has 45 divisors (see below), whose sum is σ = 852237322461. Its totient is φ = 162040556160.

The previous prime is 378111848461. The next prime is 378111848479. The reversal of 378111848464 is 464848111873.

The square root of 378111848464 is 614908.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 298452430864 + 79659417600 = 546308^2 + 282240^2 .

It is not an unprimeable number, because it can be changed into a prime (378111848461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 17206444 + ... + 17228404.

Almost surely, 2378111848464 is an apocalyptic number.

378111848464 is the 614908-th square number.

It is an amenable number.

378111848464 is an abundant number, since it is smaller than the sum of its proper divisors (474125473997).

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

378111848464 is an frugal number, since it uses more digits than its factorization.

378111848464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43944 (or 21970 counting only the distinct ones).

The product of its digits is 4128768, while the sum is 55.

The spelling of 378111848464 in words is "three hundred seventy-eight billion, one hundred eleven million, eight hundred forty-eight thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 21961 43922 87844 153727 175688 307454 351376 614908 1076089 1229816 2152178 2459632 4304356 8608712 17217424 482285521 964571042 1929142084 3375998647 3858284168 6751997294 7716568336 13503994588 23631990529 27007989176 47263981058 54015978352 94527962116 189055924232 378111848464