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112344456672 = 2532755726417
BaseRepresentation
bin110100010100001000…
…0000101110111100000
3101201222110220201022200
41220220100011313200
53320040140103142
6123335455333200
711055000061050
oct1505020056740
9351873821280
10112344456672
1143710576108
1219933b21200
13a795139286
14561a705560
152dc7d4b64c
hex1a28405de0

112344456672 has 72 divisors (see below), whose sum is σ = 365119490736. Its totient is φ = 32098415616.

The previous prime is 112344456671. The next prime is 112344456691. The reversal of 112344456672 is 276654443211.

112344456672 is a `hidden beast` number, since 1 + 12 + 3 + 4 + 4 + 4 + 566 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112344456671) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27861193 + ... + 27865224.

It is an arithmetic number, because the mean of its divisors is an integer number (5071104038).

Almost surely, 2112344456672 is an apocalyptic number.

112344456672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

112344456672 is an abundant number, since it is smaller than the sum of its proper divisors (252775034064).

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

112344456672 is a wasteful number, since it uses less digits than its factorization.

112344456672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55726440 (or 55726429 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

Adding to 112344456672 its reverse (276654443211), we get a palindrome (388998899883).

The spelling of 112344456672 in words is "one hundred twelve billion, three hundred forty-four million, four hundred fifty-six thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 55726417 111452834 167179251 222905668 334358502 390084919 445811336 501537753 668717004 780169838 891622672 1003075506 1170254757 1337434008 1560339676 1783245344 2006151012 2340509514 2674868016 3120679352 3510764271 4012302024 4681019028 5349736032 6241358704 7021528542 8024604048 9362038056 12482717408 14043057084 16049208096 18724076112 28086114168 37448152224 56172228336 112344456672