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112063427928 = 233231449111821
BaseRepresentation
bin110100001011110000…
…0000011010101011000
3101201020220002222100200
41220113200003111120
53314001214143203
6123251540102200
711045015264214
oct1502740032530
9351226088320
10112063427928
114358697a051
1219875994960
13a74bb5158a
1455d126d944
152dad3389a3
hex1a17803558

112063427928 has 96 divisors (see below), whose sum is σ = 313996176000. Its totient is φ = 36068659200.

The previous prime is 112063427921. The next prime is 112063427929. The reversal of 112063427928 is 829724360211.

112063427928 is a `hidden beast` number, since 1 + 1 + 2 + 0 + 634 + 2 + 7 + 9 + 2 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112063427921) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 946258 + ... + 1058078.

It is an arithmetic number, because the mean of its divisors is an integer number (3270793500).

Almost surely, 2112063427928 is an apocalyptic number.

112063427928 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112063427928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156998088000).

112063427928 is an abundant number, since it is smaller than the sum of its proper divisors (201932748072).

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

112063427928 is a wasteful number, since it uses less digits than its factorization.

112063427928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112313 (or 112306 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 112063427928 in words is "one hundred twelve billion, sixty-three million, four hundred twenty-seven thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 248 279 372 449 558 744 898 1116 1347 1796 2232 2694 3592 4041 5388 8082 10776 13919 16164 27838 32328 41757 55676 83514 111352 111821 125271 167028 223642 250542 334056 335463 447284 501084 670926 894568 1002168 1006389 1341852 2012778 2683704 3466451 4025556 6932902 8051112 10399353 13865804 20798706 27731608 31198059 41597412 50207629 62396118 83194824 100415258 124792236 150622887 200830516 249584472 301245774 401661032 451868661 602491548 903737322 1204983096 1556436499 1807474644 3112872998 3614949288 4669309497 6225745996 9338618994 12451491992 14007928491 18677237988 28015856982 37354475976 56031713964 112063427928