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99685450144 = 2571517194099
BaseRepresentation
bin101110011010110110…
…1110100000110100000
3100112022020202112222001
41130311231310012200
53113123433401034
6113443405053344
710126204226350
oct1346555640640
9315266675861
1099685450144
1139304924145
12173a0557254
1395285b9177
144b79380b60
1528d6804a14
hex1735b741a0

99685450144 has 96 divisors (see below), whose sum is σ = 226146816000. Its totient is φ = 42370041600.

The previous prime is 99685450129. The next prime is 99685450213. The reversal of 99685450144 is 44105458699.

It is a hoax number, since the sum of its digits (55) coincides with the sum of the digits of its distinct prime factors.

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, 24317407 + ... + 24321505.

It is an arithmetic number, because the mean of its divisors is an integer number (2355696000).

Almost surely, 299685450144 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 99685450144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113073408000).

99685450144 is an abundant number, since it is smaller than the sum of its proper divisors (126461365856).

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

99685450144 is a wasteful number, since it uses less digits than its factorization.

99685450144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4986 (or 4978 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 55.

The spelling of 99685450144 in words is "ninety-nine billion, six hundred eighty-five million, four hundred fifty thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 151 224 302 604 719 1057 1208 1438 2114 2416 2876 4099 4228 4832 5033 5752 8198 8456 10066 11504 16396 16912 20132 23008 28693 32792 33824 40264 57386 65584 80528 108569 114772 131168 161056 217138 229544 434276 459088 618949 759983 868552 918176 1237898 1519966 1737104 2475796 2947181 3039932 3474208 4332643 4951592 5894362 6079864 8665286 9903184 11788724 12159728 17330572 19806368 20630267 23577448 24319456 34661144 41260534 47154896 69322288 82521068 94309792 138644576 165042136 330084272 445024331 660168544 890048662 1780097324 3115170317 3560194648 6230340634 7120389296 12460681268 14240778592 24921362536 49842725072 99685450144