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1378791918 = 232731334961
BaseRepresentation
bin101001000101110…
…1011000111101110
310120002102212221100
41102023223013232
510310432320133
6344452143530
746111352340
oct12213530756
93502385840
101378791918
11648323859
12325907ba6
1318c86450a
14d1191290
15810a5e13
hex522eb1ee

1378791918 has 48 divisors (see below), whose sum is σ = 3425157216. Its totient is φ = 392670720.

The previous prime is 1378791917. The next prime is 1378791923. The reversal of 1378791918 is 8191978731.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1378791917) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 21958 + ... + 56918.

It is an arithmetic number, because the mean of its divisors is an integer number (71357442).

Almost surely, 21378791918 is an apocalyptic number.

1378791918 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1378791918, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1712578608).

1378791918 is an abundant number, since it is smaller than the sum of its proper divisors (2046365298).

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

1378791918 is a wasteful number, since it uses less digits than its factorization.

1378791918 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35289 (or 35286 counting only the distinct ones).

The product of its digits is 762048, while the sum is 54.

The square root of 1378791918 is about 37132.0874446886. The cubic root of 1378791918 is about 1113.0113070780.

The spelling of 1378791918 in words is "one billion, three hundred seventy-eight million, seven hundred ninety-one thousand, nine hundred eighteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 313 626 939 1878 2191 2817 4382 5634 6573 13146 19719 34961 39438 69922 104883 209766 244727 314649 489454 629298 734181 1468362 2202543 4405086 10942793 21885586 32828379 65656758 76599551 98485137 153199102 196970274 229798653 459597306 689395959 1378791918