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117796872200 = 23527234672
BaseRepresentation
bin110110110110100111…
…1011010000000001000
3102021001110121010022112
41231231033122000020
53412221444402300
6130040511441452
711340054615200
oct1555517320010
9367043533275
10117796872200
1145a59299647
121a9b5b26288
13b15392c157
1459b68d3400
1530e686be35
hex1b6d3da008

117796872200 has 108 divisors (see below), whose sum is σ = 318684378285. Its totient is φ = 40375849920.

The previous prime is 117796872191. The next prime is 117796872203. The reversal of 117796872200 is 2278697711.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 115440934756 + 2355937444 = 339766^2 + 48538^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=242690.

It is a super-2 number, since 2×1177968722002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is not an unprimeable number, because it can be changed into a prime (117796872203) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 33974867 + ... + 33978333.

Almost surely, 2117796872200 is an apocalyptic number.

117796872200 is a gapful number since it is divisible by the number (10) 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 117796872200

117796872200 is an abundant number, since it is smaller than the sum of its proper divisors (200887506085).

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

117796872200 is an frugal number, since it uses more digits than its factorization.

117796872200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6964 (or 3481 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 50.

Multiplying 117796872200 by its sum of digits (50), we get a square (5889843610000 = 24269002).

117796872200 divided by its sum of digits (50) gives a square (2355937444 = 485382).

The spelling of 117796872200 in words is "one hundred seventeen billion, seven hundred ninety-six million, eight hundred seventy-two thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 98 100 140 175 196 200 245 280 350 392 490 700 980 1225 1400 1960 2450 3467 4900 6934 9800 13868 17335 24269 27736 34670 48538 69340 86675 97076 121345 138680 169883 173350 194152 242690 339766 346700 485380 606725 679532 693400 849415 970760 1213450 1359064 1698830 2426900 3397660 4247075 4853800 6795320 8494150 12020089 16988300 24040178 33976600 48080356 60100445 84140623 96160712 120200890 168281246 240401780 300502225 336562492 420703115 480803560 588984361 601004450 673124984 841406230 1177968722 1202008900 1682812460 2103515575 2355937444 2404017800 2944921805 3365624920 4207031150 4711874888 5889843610 8414062300 11779687220 14724609025 16828124600 23559374440 29449218050 58898436100 117796872200