Search a number
-
+
991664016 = 243710727583
BaseRepresentation
bin111011000110111…
…001011110010000
32120002222202021220
4323012321132100
54012331222031
6242222445040
733401001510
oct7306713620
92502882256
10991664016
1146984a942
12238133780
1312a5abb55
14959bb840
155c0d6596
hex3b1b9790

991664016 has 80 divisors (see below), whose sum is σ = 2955239424. Its totient is φ = 280674432.

The previous prime is 991663993. The next prime is 991664033. The reversal of 991664016 is 610466199.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22161 + ... + 49743.

Almost surely, 2991664016 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 991664016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1477619712).

991664016 is an abundant number, since it is smaller than the sum of its proper divisors (1963575408).

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

991664016 is a wasteful number, since it uses less digits than its factorization.

991664016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27708 (or 27702 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 42.

The square root of 991664016 is about 31490.6972930102. The cubic root of 991664016 is about 997.2135817514.

The spelling of 991664016 in words is "nine hundred ninety-one million, six hundred sixty-four thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 107 112 168 214 321 336 428 642 749 856 1284 1498 1712 2247 2568 2996 4494 5136 5992 8988 11984 17976 27583 35952 55166 82749 110332 165498 193081 220664 330996 386162 441328 579243 661992 772324 1158486 1323984 1544648 2316972 2951381 3089296 4633944 5902762 8854143 9267888 11805524 17708286 20659667 23611048 35416572 41319334 47222096 61979001 70833144 82638668 123958002 141666288 165277336 247916004 330554672 495832008 991664016