Search a number
-
+
378811506832 = 241119883128291
BaseRepresentation
bin1011000001100101110…
…11001110000010010000
31100012210000200101121121
411200302323032002100
522201301221204312
6450005033132024
736240205452313
oct5406273160220
91305700611547
10378811506832
11136720246920
12614bb25a014
132994c96a915
141449810497a
159cc1666707
hex5832ece090

378811506832 has 80 divisors (see below), whose sum is σ = 843771352320. Its totient is φ = 162938563200.

The previous prime is 378811506817. The next prime is 378811506833. The reversal of 378811506832 is 238605118873.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 378811506832.

It is not an unprimeable number, because it can be changed into a prime (378811506833) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2888607 + ... + 3016897.

It is an arithmetic number, because the mean of its divisors is an integer number (10547141904).

Almost surely, 2378811506832 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 378811506832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421885676160).

378811506832 is an abundant number, since it is smaller than the sum of its proper divisors (464959845488).

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

378811506832 is a wasteful number, since it uses less digits than its factorization.

378811506832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129212 (or 129206 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 52.

The spelling of 378811506832 in words is "three hundred seventy-eight billion, eight hundred eleven million, five hundred six thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 11 16 19 22 38 44 76 88 152 176 209 304 418 836 883 1672 1766 3344 3532 7064 9713 14128 16777 19426 33554 38852 67108 77704 128291 134216 155408 184547 256582 268432 369094 513164 738188 1026328 1411201 1476376 2052656 2437529 2822402 2952752 4875058 5644804 9750116 11289608 19500232 22579216 26812819 39000464 53625638 107251276 113280953 214502552 226561906 429005104 453123812 906247624 1246090483 1812495248 2152338107 2492180966 4304676214 4984361932 8609352428 9968723864 17218704856 19937447728 23675719177 34437409712 47351438354 94702876708 189405753416 378811506832