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118372311049216 = 21072485712
BaseRepresentation
bin11010111010100010110011…
…100011010010010000000000
3120112010021121212212010010111
4122322202303203102100000
5111003402443112033331
61055431253341441104
733635055134322100
oct3272426343222000
9515107555763114
10118372311049216
113479846269a224
121133941b570194
1351085cbb81cb3
142133371241200
15da420729cdb1
hex6ba8b38d2400

118372311049216 has 99 divisors (see below), whose sum is σ = 275268001534227. Its totient is φ = 50729945978880.

The previous prime is 118372311049199. The next prime is 118372311049217. The reversal of 118372311049216 is 612940113273811.

The square root of 118372311049216 is 10879904.

It is a perfect power (a square), and thus also a powerful number.

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

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 118372311049216.

It is not an unprimeable number, because it can be changed into a prime (118372311049217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2437074211 + ... + 2437122781.

Almost surely, 2118372311049216 is an apocalyptic number.

118372311049216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

118372311049216 is the 10879904-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 118372311049216

118372311049216 is an abundant number, since it is smaller than the sum of its proper divisors (156895690485011).

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

118372311049216 is an frugal number, since it uses more digits than its factorization.

118372311049216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97176 (or 48580 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 49.

118372311049216 divided by its sum of digits (49) gives a square (2415761449984 = 15542722).

The spelling of 118372311049216 in words is "one hundred eighteen trillion, three hundred seventy-two billion, three hundred eleven million, forty-nine thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 512 784 896 1024 1568 1792 3136 3584 6272 7168 12544 25088 48571 50176 97142 194284 339997 388568 679994 777136 1359988 1554272 2379979 2719976 3108544 4759958 5439952 6217088 9519916 10879904 12434176 19039832 21759808 24868352 38079664 43519616 49736704 76159328 87039232 152318656 174078464 304637312 348156928 609274624 1218549248 2359142041 2437098496 4718284082 9436568164 16513994287 18873136328 33027988574 37746272656 66055977148 75492545312 115597960009 132111954296 150985090624 231195920018 264223908592 301970181248 462391840036 528447817184 603940362496 924783680072 1056895634368 1207880724992 1849567360144 2113791268736 2415761449984 3699134720288 4227582537472 7398269440576 8455165074944 14796538881152 16910330149888 29593077762304 59186155524608 118372311049216