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60011113152 = 263675418623
BaseRepresentation
bin110111111000111100…
…001110101011000000
312201220021111102010110
4313320330032223000
51440400321110102
643322502231320
74223063021364
oct677074165300
9181807442113
1060011113152
11234a5788591
12b769725540
135874b4b613
142c941472a4
1518636ea86c
hexdf8f0eac0

60011113152 has 112 divisors (see below), whose sum is σ = 161465841152. Its totient is φ = 19666437120.

The previous prime is 60011113117. The next prime is 60011113157. The reversal of 60011113152 is 25131111006.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (60011113157) 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, 6955113 + ... + 6963735.

It is an arithmetic number, because the mean of its divisors is an integer number (1441659296).

Almost surely, 260011113152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 60011113152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80732920576).

60011113152 is an abundant number, since it is smaller than the sum of its proper divisors (101454728000).

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

60011113152 is a wasteful number, since it uses less digits than its factorization.

60011113152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9246 (or 9236 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 21.

Adding to 60011113152 its reverse (25131111006), we get a palindrome (85142224158).

The spelling of 60011113152 in words is "sixty billion, eleven million, one hundred thirteen thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 67 96 134 192 201 268 402 536 541 804 1072 1082 1608 1623 2144 2164 3216 3246 4288 4328 6432 6492 8623 8656 12864 12984 17246 17312 25869 25968 34492 34624 36247 51738 51936 68984 72494 103476 103872 108741 137968 144988 206952 217482 275936 289976 413904 434964 551872 577741 579952 827808 869928 1155482 1159904 1655616 1733223 1739856 2310964 2319808 3466446 3479712 4621928 4665043 6932892 6959424 9243856 9330086 13865784 13995129 18487712 18660172 27731568 27990258 36975424 37320344 55463136 55980516 74640688 110926272 111961032 149281376 223922064 298562752 312557881 447844128 625115762 895688256 937673643 1250231524 1875347286 2500463048 3750694572 5000926096 7501389144 10001852192 15002778288 20003704384 30005556576 60011113152