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52116101407032 = 23313461362340101
BaseRepresentation
bin10111101100110001110011…
…01101100010000100111000
320211112020202201021200110020
423312120321231202010320
523312332233430011112
6302501450110250440
713656156401540265
oct1366307155420470
9224466681250406
1052116101407032
1115673350642433
125a18548ab6a20
1323106b1567060
14cc260b72626c
156059d56ee48c
hex2f6639b62138

52116101407032 has 64 divisors (see below), whose sum is σ = 140616946784160. Its totient is φ = 16000938816000.

The previous prime is 52116101407009. The next prime is 52116101407037. The reversal of 52116101407032 is 23070410161125.

52116101407032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 52116101406984 and 52116101407002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52116101407037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 181026219 + ... + 181313882.

Almost surely, 252116101407032 is an apocalyptic number.

52116101407032 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

52116101407032 is an abundant number, since it is smaller than the sum of its proper divisors (88500845377128).

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

52116101407032 is a wasteful number, since it uses less digits than its factorization.

52116101407032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362340584 (or 362340580 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

Adding to 52116101407032 its reverse (23070410161125), we get a palindrome (75186511568157).

The spelling of 52116101407032 in words is "fifty-two trillion, one hundred sixteen billion, one hundred one million, four hundred seven thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 461 922 1383 1844 2766 3688 5532 5993 11064 11986 17979 23972 35958 47944 71916 143832 362340101 724680202 1087020303 1449360404 2174040606 2898720808 4348081212 4710421313 8696162424 9420842626 14131263939 18841685252 28262527878 37683370504 56525055756 113050111512 167038786561 334077573122 501116359683 668155146244 1002232719366 1336310292488 2004465438732 2171504225293 4008930877464 4343008450586 6514512675879 8686016901172 13029025351758 17372033802344 26058050703516 52116101407032