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106052635456 = 261657072429
BaseRepresentation
bin110001011000100111…
…0101100101101000000
3101010201222202002012021
41202301032230231000
53214143433313311
6120415300011224
710443040346005
oct1426116545500
9333658662167
10106052635456
1140a81a47769
1218678990b14
13a001777341
1451c0c518ac
152b5a7bd171
hex18b13acb40

106052635456 has 14 divisors (see below), whose sum is σ = 210448198610. Its totient is φ = 53026317696.

The previous prime is 106052635453. The next prime is 106052635459. The reversal of 106052635456 is 654536250601.

It is an interprime number because it is at equal distance from previous prime (106052635453) and next prime (106052635459).

It can be written as a sum of positive squares in only one way, i.e., 66378369600 + 39674265856 = 257640^2 + 199184^2 .

It is a super-2 number, since 2×1060526354562 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106052635453) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 828536151 + ... + 828536278.

Almost surely, 2106052635456 is an apocalyptic number.

106052635456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106052635456 is a deficient number, since it is larger than the sum of its proper divisors (104395563154).

106052635456 is an equidigital number, since it uses as much as digits as its factorization.

106052635456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1657072441 (or 1657072431 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 43.

The spelling of 106052635456 in words is "one hundred six billion, fifty-two million, six hundred thirty-five thousand, four hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 1657072429 3314144858 6628289716 13256579432 26513158864 53026317728 106052635456