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112437146641 = 534095186933
BaseRepresentation
bin110100010110111000…
…1101011010000010001
3101202012221022212001111
41220231301223100101
53320232402143031
6123353010133321
711060203656151
oct1505561532021
9352187285044
10112437146641
1143758924496
121995ab81241
13a7ab3c0701
145628b52761
152dd105a1b1
hex1a2dc6b411

112437146641 has 8 divisors (see below), whose sum is σ = 114838718760. Its totient is φ = 110045949312.

The previous prime is 112437146629. The next prime is 112437146683. The reversal of 112437146641 is 146641734211.

It can be written as a sum of positive squares in 4 ways, for example, as 47228417041 + 65208729600 = 217321^2 + 255360^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 112437146641 - 27 = 112437146513 is a prime.

It is a super-2 number, since 2×1124371466412 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 112437146594 and 112437146603.

It is not an unprimeable number, because it can be changed into a prime (112437146441) 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 7 ways as a sum of consecutive naturals, for example, 2571790 + ... + 2615143.

It is an arithmetic number, because the mean of its divisors is an integer number (14354839845).

Almost surely, 2112437146641 is an apocalyptic number.

It is an amenable number.

112437146641 is a deficient number, since it is larger than the sum of its proper divisors (2401572119).

112437146641 is an equidigital number, since it uses as much as digits as its factorization.

112437146641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5187395.

The product of its digits is 96768, while the sum is 40.

The spelling of 112437146641 in words is "one hundred twelve billion, four hundred thirty-seven million, one hundred forty-six thousand, six hundred forty-one".

Divisors: 1 53 409 21677 5186933 274907449 2121455597 112437146641