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1378078825 = 521094611097
BaseRepresentation
bin101001000100011…
…1101000001101001
310120001002122202111
41102020331001221
510310242010300
6344425002321
746102322344
oct12210750151
93501078674
101378078825
11647987022
123256233a1
1318c674a76
14d104745b
1580eb49ba
hex5223d069

1378078825 has 24 divisors (see below), whose sum is σ = 1729811160. Its totient is φ = 1088985600.

The previous prime is 1378078813. The next prime is 1378078829. The reversal of 1378078825 is 5288708731.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 486996624 + 891082201 = 22068^2 + 29851^2 .

It is not a de Polignac number, because 1378078825 - 27 = 1378078697 is a prime.

It is a super-3 number, since 3×13780788253 (a number of 28 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1378078829) 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 23 ways as a sum of consecutive naturals, for example, 1255677 + ... + 1256773.

It is an arithmetic number, because the mean of its divisors is an integer number (72075465).

Almost surely, 21378078825 is an apocalyptic number.

It is an amenable number.

1378078825 is a deficient number, since it is larger than the sum of its proper divisors (351732335).

1378078825 is a wasteful number, since it uses less digits than its factorization.

1378078825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1677 (or 1672 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 49.

The square root of 1378078825 is about 37122.4840898343. The cubic root of 1378078825 is about 1112.8193957320.

The spelling of 1378078825 in words is "one billion, three hundred seventy-eight million, seventy-eight thousand, eight hundred twenty-five".

Divisors: 1 5 25 109 461 545 1097 2305 2725 5485 11525 27425 50249 119573 251245 505717 597865 1256225 2528585 2989325 12642925 55123153 275615765 1378078825