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378211916052 = 223210505886557
BaseRepresentation
bin1011000000011110010…
…11111101100100010100
31100011020020110000200200
411200033023331210110
522144034222303202
6445425333540500
736216305146245
oct5401713754424
91304206400620
10378211916052
11136442848453
12613724a4730
1329885686389
141443c626ccc
159c88bc9e1c
hex580f2fd914

378211916052 has 18 divisors (see below), whose sum is σ = 956035676778. Its totient is φ = 126070638672.

The previous prime is 378211916009. The next prime is 378211916063. The reversal of 378211916052 is 250619112873.

378211916052 is a `hidden beast` number, since 3 + 7 + 8 + 21 + 19 + 1 + 605 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 370252778256 + 7959137796 = 608484^2 + 89214^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a junction number, because it is equal to n+sod(n) for n = 378211915989 and 378211916007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5252943243 + ... + 5252943314.

Almost surely, 2378211916052 is an apocalyptic number.

It is an amenable number.

378211916052 is an abundant number, since it is smaller than the sum of its proper divisors (577823760726).

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

378211916052 is a wasteful number, since it uses less digits than its factorization.

378211916052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10505886567 (or 10505886562 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 378211916052 in words is "three hundred seventy-eight billion, two hundred eleven million, nine hundred sixteen thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 10505886557 21011773114 31517659671 42023546228 63035319342 94552979013 126070638684 189105958026 378211916052