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994836816 = 24341814241
BaseRepresentation
bin111011010011000…
…000000101010000
32120022221221120000
4323103000011100
54014134234231
6242414450000
733436654611
oct7323000520
92508857500
10994836816
11470617696
12239203900
1312b15004c
14961a5c08
155c5116e6
hex3b4c0150

994836816 has 100 divisors (see below), whose sum is σ = 2895937044. Its totient is φ = 329702400.

The previous prime is 994836781. The next prime is 994836823. The reversal of 994836816 is 618638499.

994836816 is a `hidden beast` number, since 99 + 483 + 68 + 16 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 488586816 + 506250000 = 22104^2 + 22500^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 232456 + ... + 236696.

Almost surely, 2994836816 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 994836816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1447968522).

994836816 is an abundant number, since it is smaller than the sum of its proper divisors (1901100228).

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

994836816 is a wasteful number, since it uses less digits than its factorization.

994836816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4442 (or 4427 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 54.

The square root of 994836816 is about 31541.0338448187. The cubic root of 994836816 is about 998.2759680887.

It can be divided in two parts, 9948 and 36816, that added together give a palindrome (46764).

The spelling of 994836816 in words is "nine hundred ninety-four million, eight hundred thirty-six thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 181 216 324 362 432 543 648 724 1086 1296 1448 1629 2172 2896 3258 4241 4344 4887 6516 8482 8688 9774 12723 13032 14661 16964 19548 25446 26064 29322 33928 38169 39096 50892 58644 67856 76338 78192 101784 114507 117288 152676 203568 229014 234576 305352 343521 458028 610704 687042 767621 916056 1374084 1535242 1832112 2302863 2748168 3070484 4605726 5496336 6140968 6908589 9211452 12281936 13817178 18422904 20725767 27634356 36845808 41451534 55268712 62177301 82903068 110537424 124354602 165806136 248709204 331612272 497418408 994836816