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1378106064 = 24329570181
BaseRepresentation
bin101001000100100…
…0011101011010000
310120001011001010100
41102021003223100
510310243343224
6344425332400
746102464636
oct12211035320
93501131110
101378106064
116479a5535
12325637100
1318c68429a
14d1053356
1580ebcac9
hex52243ad0

1378106064 has 30 divisors (see below), whose sum is σ = 3856783346. Its totient is φ = 459368640.

The previous prime is 1378106027. The next prime is 1378106089. The reversal of 1378106064 is 4606018731.

1378106064 is a `hidden beast` number, since 1 + 37 + 8 + 10 + 606 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1288235664 + 89870400 = 35892^2 + 9480^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4784947 + ... + 4785234.

Almost surely, 21378106064 is an apocalyptic number.

It is an amenable number.

1378106064 is an abundant number, since it is smaller than the sum of its proper divisors (2478677282).

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

1378106064 is a wasteful number, since it uses less digits than its factorization.

1378106064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9570195 (or 9570186 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 1378106064 is about 37122.8509681032. The cubic root of 1378106064 is about 1112.8267276512.

The spelling of 1378106064 in words is "one billion, three hundred seventy-eight million, one hundred six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 9570181 19140362 28710543 38280724 57421086 76561448 86131629 114842172 153122896 172263258 229684344 344526516 459368688 689053032 1378106064