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3778378128 = 2432747173461
BaseRepresentation
bin1110000100110101…
…0111100110010000
3100202022200111101200
43201031113212100
530214231100003
61422531431200
7162426453450
oct34115274620
910668614350
103778378128
111669883458
12895455500
13482a36a05
1427bb43d60
15171a996a3
hexe1357990

3778378128 has 240 divisors, whose sum is σ = 12440203776. Its totient is φ = 1048181760.

The previous prime is 3778378117. The next prime is 3778378141. The reversal of 3778378128 is 8218738773.

It is a happy number.

3778378128 is a `hidden beast` number, since 377 + 83 + 78 + 128 = 666.

It is a super-2 number, since 2×37783781282 = 28552282556297568768, which contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8195818 + ... + 8196278.

Almost surely, 23778378128 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 3778378128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6220101888).

3778378128 is an abundant number, since it is smaller than the sum of its proper divisors (8661825648).

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

3778378128 is a wasteful number, since it uses less digits than its factorization.

3778378128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702 (or 693 counting only the distinct ones).

The product of its digits is 3161088, while the sum is 54.

The square root of 3778378128 is about 61468.5133055941. The cubic root of 3778378128 is about 1557.5254060698.

The spelling of 3778378128 in words is "three billion, seven hundred seventy-eight million, three hundred seventy-eight thousand, one hundred twenty-eight".