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999653116 = 227211261691
BaseRepresentation
bin111011100101010…
…111111011111100
32120200000122021111
4323211113323330
54021402344431
6243110011404
733525624400
oct7345277374
92520018244
10999653116
11473307200
1223a946b64
1312c148327
1496a9b100
155cb637b1
hex3b957efc

999653116 has 108 divisors (see below), whose sum is σ = 2276786568. Its totient is φ = 382536000.

The previous prime is 999653051. The next prime is 999653119. The reversal of 999653116 is 611356999.

It is a Harshad number since it is a multiple of its sum of digits (49).

999653116 is a modest number, since divided by 53116 gives 9996 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 999653116.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (999653119) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1446331 + ... + 1447021.

Almost surely, 2999653116 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 999653116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1138393284).

999653116 is an abundant number, since it is smaller than the sum of its proper divisors (1277133452).

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

999653116 is a wasteful number, since it uses less digits than its factorization.

999653116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792 (or 772 counting only the distinct ones).

The product of its digits is 393660, while the sum is 49.

The square root of 999653116 is about 31617.2914083417. The cubic root of 999653116 is about 999.8843586276.

The spelling of 999653116 in words is "nine hundred ninety-nine million, six hundred fifty-three thousand, one hundred sixteen".

Divisors: 1 2 4 7 11 14 22 28 44 49 61 77 98 121 122 154 196 242 244 308 427 484 539 671 691 847 854 1078 1342 1382 1694 1708 2156 2684 2764 2989 3388 4697 4837 5929 5978 7381 7601 9394 9674 11858 11956 14762 15202 18788 19348 23716 29524 30404 32879 33859 42151 51667 53207 65758 67718 83611 84302 103334 106414 131516 135436 167222 168604 206668 212828 295057 334444 361669 372449 463661 585277 590114 723338 744898 927322 1170554 1180228 1446676 1489796 1854644 2065399 2341108 3245627 4096939 4130798 5100271 6491254 8193878 8261596 10200542 12982508 16387756 20401084 22719389 35701897 45438778 71403794 90877556 142807588 249913279 499826558 999653116