Search a number
-
+
381435069906 = 232114003481249
BaseRepresentation
bin1011000110011110100…
…11010100010111010010
31100110112212101012120100
411203033103110113102
522222134334214111
6451121233153230
736362213412252
oct5431723242722
91313485335510
10381435069906
11137847175670
1261b119bb816
1329c7a3709c7
141466671b962
159dc6b4d756
hex58cf4d45d2

381435069906 has 48 divisors (see below), whose sum is σ = 901800900000. Its totient is φ = 115557269760.

The previous prime is 381435069889. The next prime is 381435069907. The reversal of 381435069906 is 609960534183.

381435069906 is a `hidden beast` number, since 3 + 8 + 1 + 43 + 506 + 9 + 90 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (381435069907) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 551970 + ... + 1033218.

It is an arithmetic number, because the mean of its divisors is an integer number (18787518750).

Almost surely, 2381435069906 is an apocalyptic number.

381435069906 is an abundant number, since it is smaller than the sum of its proper divisors (520365830094).

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

381435069906 is a wasteful number, since it uses less digits than its factorization.

381435069906 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485271 (or 485268 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 381435069906 in words is "three hundred eighty-one billion, four hundred thirty-five million, sixty-nine thousand, nine hundred six".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 4003 8006 12009 24018 36027 44033 72054 88066 132099 264198 396297 481249 792594 962498 1443747 2887494 4331241 5293739 8662482 10587478 15881217 31762434 47643651 95287302 1926439747 3852879494 5779319241 11558638482 17337957723 21190837217 34675915446 42381674434 63572511651 127145023302 190717534953 381435069906