Search a number
-
+
378820214460 = 223252104556747
BaseRepresentation
bin1011000001100110111…
…00011011111010111100
31100012210122001210020100
411200303130123322330
522201310433330320
6450005543521100
736240342460062
oct5406334337274
91305718053210
10378820214460
11136725154006
1261502159190
13299516c916c
1414499330032
159cc22d6790
hex583371bebc

378820214460 has 36 divisors (see below), whose sum is σ = 1149087984408. Its totient is φ = 101018723808.

The previous prime is 378820214453. The next prime is 378820214471. The reversal of 378820214460 is 64412028873.

It is a happy number.

378820214460 is a `hidden beast` number, since 378 + 8 + 2 + 0 + 214 + 4 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1052278194 + ... + 1052278553.

It is an arithmetic number, because the mean of its divisors is an integer number (31919110678).

Almost surely, 2378820214460 is an apocalyptic number.

378820214460 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

378820214460 is an abundant number, since it is smaller than the sum of its proper divisors (770267769948).

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

378820214460 is a wasteful number, since it uses less digits than its factorization.

378820214460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2104556762 (or 2104556757 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 378820214460 in words is "three hundred seventy-eight billion, eight hundred twenty million, two hundred fourteen thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 2104556747 4209113494 6313670241 8418226988 10522783735 12627340482 18941010723 21045567470 25254680964 31568351205 37882021446 42091134940 63136702410 75764042892 94705053615 126273404820 189410107230 378820214460