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116223611232 = 25313938322741
BaseRepresentation
bin110110000111101110…
…1111001000101100000
3102002222211020011222210
41230033131321011200
53401011221024412
6125220431202120
711253062252421
oct1541735710540
9362884204883
10116223611232
1145321220373
121a637076340
13ac629c8cc1
1458a799d648
1530536a083c
hex1b0f779160

116223611232 has 96 divisors (see below), whose sum is σ = 308097699840. Its totient is φ = 38360378880.

The previous prime is 116223611183. The next prime is 116223611239. The reversal of 116223611232 is 232116322611.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 116223611232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116223611239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5099382 + ... + 5122122.

It is an arithmetic number, because the mean of its divisors is an integer number (3209351040).

Almost surely, 2116223611232 is an apocalyptic number.

116223611232 is a gapful number since it is divisible by the number (12) 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 116223611232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154048849920).

116223611232 is an abundant number, since it is smaller than the sum of its proper divisors (191874088608).

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

116223611232 is a wasteful number, since it uses less digits than its factorization.

116223611232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23276 (or 23268 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

Adding to 116223611232 its reverse (232116322611), we get a palindrome (348339933843).

The spelling of 116223611232 in words is "one hundred sixteen billion, two hundred twenty-three million, six hundred eleven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 139 278 383 417 556 766 834 1112 1149 1532 1668 2224 2298 3064 3336 4448 4596 6128 6672 9192 12256 13344 18384 22741 36768 45482 53237 68223 90964 106474 136446 159711 181928 212948 272892 319422 363856 425896 545784 638844 727712 851792 1091568 1277688 1703584 2183136 2555376 3160999 5110752 6321998 8709803 9482997 12643996 17419606 18965994 25287992 26129409 34839212 37931988 50575984 52258818 69678424 75863976 101151968 104517636 139356848 151727952 209035272 278713696 303455904 418070544 836141088 1210662617 2421325234 3631987851 4842650468 7263975702 9685300936 14527951404 19370601872 29055902808 38741203744 58111805616 116223611232