Search a number
-
+
1994114496 = 263114720089
BaseRepresentation
bin111011011011011…
…1100010111000000
312010222021111211110
41312312330113000
513040443130441
6525512443320
7100262456613
oct16666742700
95128244743
101994114496
11933697810
124779a9540
1325a19650a
1414cba617a
15ba0edb16
hex76dbc5c0

1994114496 has 112 divisors (see below), whose sum is σ = 5878494720. Its totient is φ = 591390720.

The previous prime is 1994114491. The next prime is 1994114497. The reversal of 1994114496 is 6944114991.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1994114491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89220 + ... + 109308.

It is an arithmetic number, because the mean of its divisors is an integer number (52486560).

Almost surely, 21994114496 is an apocalyptic number.

1994114496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1994114496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2939247360).

1994114496 is an abundant number, since it is smaller than the sum of its proper divisors (3884380224).

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

1994114496 is a wasteful number, since it uses less digits than its factorization.

1994114496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20162 (or 20152 counting only the distinct ones).

The product of its digits is 279936, while the sum is 48.

The square root of 1994114496 is about 44655.5091338124. The cubic root of 1994114496 is about 1258.6839572180.

The spelling of 1994114496 in words is "one billion, nine hundred ninety-four million, one hundred fourteen thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 47 48 64 66 88 94 96 132 141 176 188 192 264 282 352 376 517 528 564 704 752 1034 1056 1128 1504 1551 2068 2112 2256 3008 3102 4136 4512 6204 8272 9024 12408 16544 20089 24816 33088 40178 49632 60267 80356 99264 120534 160712 220979 241068 321424 441958 482136 642848 662937 883916 944183 964272 1285696 1325874 1767832 1888366 1928544 2651748 2832549 3535664 3776732 3857088 5303496 5665098 7071328 7553464 10386013 10606992 11330196 14142656 15106928 20772026 21213984 22660392 30213856 31158039 41544052 42427968 45320784 60427712 62316078 83088104 90641568 124632156 166176208 181283136 249264312 332352416 498528624 664704832 997057248 1994114496