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378201618216 = 23325252800253
BaseRepresentation
bin1011000000011101001…
…00101011011100101000
31100011012112001211201100
411200032210223130220
522144024103240331
6445424325121400
736216121466352
oct5401644533450
91304175054640
10378201618216
11136437a54544
126136ab59260
13298834bc096
141443b1060d2
159c87d43ae6
hex580e92b728

378201618216 has 24 divisors (see below), whose sum is σ = 1024296049530. Its totient is φ = 126067206048.

The previous prime is 378201618181. The next prime is 378201618313. The reversal of 378201618216 is 612816102873.

378201618216 is a `hidden beast` number, since 3 + 7 + 8 + 2 + 0 + 1 + 618 + 21 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 375712606116 + 2489012100 = 612954^2 + 49890^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2626400055 + ... + 2626400198.

Almost surely, 2378201618216 is an apocalyptic number.

378201618216 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

378201618216 is an abundant number, since it is smaller than the sum of its proper divisors (646094431314).

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

378201618216 is a wasteful number, since it uses less digits than its factorization.

378201618216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5252800265 (or 5252800258 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 378201618216 in words is "three hundred seventy-eight billion, two hundred one million, six hundred eighteen thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 5252800253 10505600506 15758400759 21011201012 31516801518 42022402024 47275202277 63033603036 94550404554 126067206072 189100809108 378201618216