Search a number
-
+
21042004992 = 210367102233
BaseRepresentation
bin10011100110001100…
…111000010000000000
32000022110020121101020
4103212030320100000
5321043223124432
613355551105440
71343304043221
oct234614702000
960273217336
1021042004992
118a18732878
1240b2b12280
131ca4531138
141038849248
1583249822c
hex4e6338400

21042004992 has 88 divisors (see below), whose sum is σ = 56922255456. Its totient is φ = 6909247488.

The previous prime is 21042004981. The next prime is 21042004999. The reversal of 21042004992 is 29940024012.

It is not an unprimeable number, because it can be changed into a prime (21042004999) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 154708 + ... + 256940.

It is an arithmetic number, because the mean of its divisors is an integer number (646843812).

Almost surely, 221042004992 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 21042004992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28461127728).

21042004992 is an abundant number, since it is smaller than the sum of its proper divisors (35880250464).

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

21042004992 is a wasteful number, since it uses less digits than its factorization.

21042004992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102323 (or 102305 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The spelling of 21042004992 in words is "twenty-one billion, forty-two million, four thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 67 96 128 134 192 201 256 268 384 402 512 536 768 804 1024 1072 1536 1608 2144 3072 3216 4288 6432 8576 12864 17152 25728 34304 51456 68608 102233 102912 204466 205824 306699 408932 613398 817864 1226796 1635728 2453592 3271456 4907184 6542912 6849611 9814368 13085824 13699222 19628736 20548833 26171648 27398444 39257472 41097666 52343296 54796888 78514944 82195332 104686592 109593776 157029888 164390664 219187552 314059776 328781328 438375104 657562656 876750208 1315125312 1753500416 2630250624 3507000832 5260501248 7014001664 10521002496 21042004992