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10768993152 = 27328044253
BaseRepresentation
bin10100000011110000…
…11100101110000000
31000210111202112102020
422001320130232000
5134023330240102
64540332521440
7530602634331
oct120170345600
930714675366
1010768993152
1146268a7a45
122106620280
131028104cc8
1474233a288
1543065cbbc
hex281e1cb80

10768993152 has 32 divisors (see below), whose sum is σ = 28605139080. Its totient is φ = 3589664256.

The previous prime is 10768993121. The next prime is 10768993189. The reversal of 10768993152 is 25139986701.

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 10768993095 and 10768993104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14021743 + ... + 14022510.

Almost surely, 210768993152 is an apocalyptic number.

10768993152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10768993152 is an abundant number, since it is smaller than the sum of its proper divisors (17836145928).

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

10768993152 is an equidigital number, since it uses as much as digits as its factorization.

10768993152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28044270 (or 28044258 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 51.

The spelling of 10768993152 in words is "ten billion, seven hundred sixty-eight million, nine hundred ninety-three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 28044253 56088506 84132759 112177012 168265518 224354024 336531036 448708048 673062072 897416096 1346124144 1794832192 2692248288 3589664384 5384496576 10768993152