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10540653216 = 253971131943
BaseRepresentation
bin10011101000100010…
…11001101010100000
31000012121002122220120
421310101121222200
5133041401400331
64501534440240
7522131034252
oct116421315240
930177078816
1010540653216
114519a18855
122062063080
13cbca07512
1471dc9bcd2
1541a5a6796
hex274459aa0

10540653216 has 48 divisors (see below), whose sum is σ = 27954489024. Its totient is φ = 3477325824.

The previous prime is 10540653133. The next prime is 10540653239. The reversal of 10540653216 is 61235604501.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×105406532162 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 556660 + ... + 575283.

It is an arithmetic number, because the mean of its divisors is an integer number (582385188).

Almost surely, 210540653216 is an apocalyptic number.

10540653216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10540653216 is an abundant number, since it is smaller than the sum of its proper divisors (17413835808).

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

10540653216 is a wasteful number, since it uses less digits than its factorization.

10540653216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1132053 (or 1132045 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The spelling of 10540653216 in words is "ten billion, five hundred forty million, six hundred fifty-three thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 97 194 291 388 582 776 1164 1552 2328 3104 4656 9312 1131943 2263886 3395829 4527772 6791658 9055544 13583316 18111088 27166632 36222176 54333264 108666528 109798471 219596942 329395413 439193884 658790826 878387768 1317581652 1756775536 2635163304 3513551072 5270326608 10540653216