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99311616 = 21333449
BaseRepresentation
bin1011110101101…
…10000000000000
320220212112221000
411322312000000
5200410432431
613504332000
72314064145
oct572660000
9226775830
1099311616
1151071318
1229314000
1317762391
14d2923cc
158aba9e6
hex5eb6000

99311616 has 112 divisors (see below), whose sum is σ = 294894000. Its totient is φ = 33030144.

The previous prime is 99311593. The next prime is 99311627. The reversal of 99311616 is 61611399.

99311616 is a `hidden beast` number, since 9 + 9 + 31 + 1 + 616 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 220960 + ... + 221408.

Almost surely, 299311616 is an apocalyptic number.

99311616 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99311616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147447000).

99311616 is an abundant number, since it is smaller than the sum of its proper divisors (195582384).

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

99311616 is an equidigital number, since it uses as much as digits as its factorization.

99311616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 454 counting only the distinct ones).

The product of its digits is 8748, while the sum is 36.

The square root of 99311616 is about 9965.5213611732. The cubic root of 99311616 is about 463.0913648965.

The spelling of 99311616 in words is "ninety-nine million, three hundred eleven thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 449 512 576 768 864 898 1024 1152 1347 1536 1728 1796 2048 2304 2694 3072 3456 3592 4041 4096 4608 5388 6144 6912 7184 8082 8192 9216 10776 12123 12288 13824 14368 16164 18432 21552 24246 24576 27648 28736 32328 36864 43104 48492 55296 57472 64656 73728 86208 96984 110592 114944 129312 172416 193968 221184 229888 258624 344832 387936 459776 517248 689664 775872 919552 1034496 1379328 1551744 1839104 2068992 2758656 3103488 3678208 4137984 5517312 6206976 8275968 11034624 12413952 16551936 24827904 33103872 49655808 99311616