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378028634920 = 23512377640029
BaseRepresentation
bin1011000000001000100…
…00110011001100101000
31100010202110120101020121
411200010100303030220
522143200312304140
6445355225333024
736211621244026
oct5400420631450
91303673511217
10378028634920
11136359344642
1261321037174
1329856703bc1
1414422157716
159c77a7464a
hex5804433328

378028634920 has 32 divisors (see below), whose sum is σ = 851252142600. Its totient is φ = 151089193728.

The previous prime is 378028634897. The next prime is 378028634927. The reversal of 378028634920 is 29436820873.

It can be written as a sum of positive squares in 4 ways, for example, as 246101319396 + 131927315524 = 496086^2 + 363218^2 .

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (378028634927) 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 7 ways as a sum of consecutive naturals, for example, 3770535 + ... + 3869494.

Almost surely, 2378028634920 is an apocalyptic number.

It is an amenable number.

378028634920 is an abundant number, since it is smaller than the sum of its proper divisors (473223507680).

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

378028634920 is a wasteful number, since it uses less digits than its factorization.

378028634920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7641277 (or 7641273 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 52.

The spelling of 378028634920 in words is "three hundred seventy-eight billion, twenty-eight million, six hundred thirty-four thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 1237 2474 4948 6185 9896 12370 24740 49480 7640029 15280058 30560116 38200145 61120232 76400290 152800580 305601160 9450715873 18901431746 37802863492 47253579365 75605726984 94507158730 189014317460 378028634920