Search a number
-
+
1006063034382 = 23378929904971
BaseRepresentation
bin11101010001111100000…
…01111010000000001110
310120011211021002111002000
432220332001322000032
5112440404114100012
62050102354213130
7132454115460060
oct16507601720016
93504737074060
101006063034382
1135873a39a40a
12142b945841a6
1373b43434753
143699d783730
151b283ba0ddc
hexea3e07a00e

1006063034382 has 64 divisors (see below), whose sum is σ = 2583789580800. Its totient is φ = 284216834880.

The previous prime is 1006063034351. The next prime is 1006063034387. The reversal of 1006063034382 is 2834303606001.

1006063034382 is a `hidden beast` number, since 1 + 0 + 0 + 606 + 3 + 0 + 3 + 43 + 8 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006063034387) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14918844 + ... + 14986127.

It is an arithmetic number, because the mean of its divisors is an integer number (40371712200).

Almost surely, 21006063034382 is an apocalyptic number.

1006063034382 is an abundant number, since it is smaller than the sum of its proper divisors (1577726546418).

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

1006063034382 is a wasteful number, since it uses less digits than its factorization.

1006063034382 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29905078 (or 29905072 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 1006063034382 in words is "one trillion, six billion, sixty-three million, thirty-four thousand, three hundred eighty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 89 126 178 189 267 378 534 623 801 1246 1602 1869 2403 3738 4806 5607 11214 16821 33642 29904971 59809942 89714913 179429826 209334797 269144739 418669594 538289478 628004391 807434217 1256008782 1614868434 1884013173 2661542419 3768026346 5323084838 5652039519 7984627257 11304079038 15969254514 18630796933 23953881771 37261593866 47907763542 55892390799 71861645313 111784781598 143723290626 167677172397 335354344794 503031517191 1006063034382