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99711864 = 2333729421
BaseRepresentation
bin1011111000101…
…11101101111000
320221121212222000
411330113231320
5201011234424
613521101000
72320352100
oct574275570
9227555860
1099711864
1151314aaa
1229487760
1317872605
14d358200
158b493c9
hex5f17b78

99711864 has 96 divisors (see below), whose sum is σ = 322232400. Its totient is φ = 28486080.

The previous prime is 99711847. The next prime is 99711893. The reversal of 99711864 is 46811799.

It is a happy number.

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 a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 5874 + ... + 15294.

Almost surely, 299711864 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 99711864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161116200).

99711864 is an abundant number, since it is smaller than the sum of its proper divisors (222520536).

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

99711864 is a wasteful number, since it uses less digits than its factorization.

99711864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9450 (or 9433 counting only the distinct ones).

The product of its digits is 108864, while the sum is 45.

The square root of 99711864 is about 9985.5828072276. The cubic root of 99711864 is about 463.7126515549.

The spelling of 99711864 in words is "ninety-nine million, seven hundred eleven thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 49 54 56 63 72 84 98 108 126 147 168 189 196 216 252 294 378 392 441 504 588 756 882 1176 1323 1512 1764 2646 3528 5292 9421 10584 18842 28263 37684 56526 65947 75368 84789 113052 131894 169578 197841 226104 254367 263788 339156 395682 461629 508734 527576 593523 678312 791364 923258 1017468 1187046 1384887 1582728 1780569 1846516 2034936 2374092 2769774 3561138 3693032 4154661 4748184 5539548 7122276 8309322 11079096 12463983 14244552 16618644 24927966 33237288 49855932 99711864