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994217616 = 243273131817
BaseRepresentation
bin111011010000101…
…000111010010000
32120021210111011200
4323100220322100
54014004430431
6242353311200
733431465430
oct7320507220
92507714150
10994217616
11470234457
12238b65500
1312ac94262
14960842c0
155c43cee6
hex3b428e90

994217616 has 120 divisors (see below), whose sum is σ = 3282599424. Its totient is φ = 274890240.

The previous prime is 994217611. The next prime is 994217629. The reversal of 994217616 is 616712499.

994217616 is a `hidden beast` number, since 9 + 9 + 4 + 21 + 7 + 616 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (994217611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15340 + ... + 47156.

Almost surely, 2994217616 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 994217616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1641299712).

994217616 is an abundant number, since it is smaller than the sum of its proper divisors (2288381808).

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

994217616 is a wasteful number, since it uses less digits than its factorization.

994217616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31869 (or 31860 counting only the distinct ones).

The product of its digits is 163296, while the sum is 45.

The square root of 994217616 is about 31531.2165321923. The cubic root of 994217616 is about 998.0688115787.

The spelling of 994217616 in words is "nine hundred ninety-four million, two hundred seventeen thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 31 36 42 48 56 62 63 72 84 93 112 124 126 144 168 186 217 248 252 279 336 372 434 496 504 558 651 744 868 1008 1116 1302 1488 1736 1953 2232 2604 3472 3906 4464 5208 7812 10416 15624 31248 31817 63634 95451 127268 190902 222719 254536 286353 381804 445438 509072 572706 668157 763608 890876 986327 1145412 1336314 1527216 1781752 1972654 2004471 2290824 2672628 2958981 3563504 3945308 4008942 4581648 5345256 5917962 6904289 7890616 8017884 8876943 10690512 11835924 13808578 15781232 16035768 17753886 20712867 23671848 27617156 32071536 35507772 41425734 47343696 55234312 62138601 71015544 82851468 110468624 124277202 142031088 165702936 248554404 331405872 497108808 994217616