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10775379312 = 2432263284521
BaseRepresentation
bin10100000100100001…
…10011110101110000
31000210221202222120200
422002100303311300
5134031444114222
64541121435200
7531011133015
oct120220636560
930727688520
1010775379312
11462a469a65
12210879bb00
13102952c9b9
1474311d70c
15430ebeeac
hex282433d70

10775379312 has 60 divisors (see below), whose sum is σ = 30270864624. Its totient is φ = 3578123520.

The previous prime is 10775379281. The next prime is 10775379317. The reversal of 10775379312 is 21397357701.

10775379312 is a `hidden beast` number, since 10 + 7 + 7 + 537 + 93 + 12 = 666.

It is a super-3 number, since 3×107753793123 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10775379317) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 104389 + ... + 180132.

Almost surely, 210775379312 is an apocalyptic number.

10775379312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10775379312 is an abundant number, since it is smaller than the sum of its proper divisors (19495485312).

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

10775379312 is a wasteful number, since it uses less digits than its factorization.

10775379312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284798 (or 284789 counting only the distinct ones).

The product of its (nonzero) digits is 277830, while the sum is 45.

The spelling of 10775379312 in words is "ten billion, seven hundred seventy-five million, three hundred seventy-nine thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 263 526 789 1052 1578 2104 2367 3156 4208 4734 6312 9468 12624 18936 37872 284521 569042 853563 1138084 1707126 2276168 2560689 3414252 4552336 5121378 6828504 10242756 13657008 20485512 40971024 74829023 149658046 224487069 299316092 448974138 598632184 673461207 897948276 1197264368 1346922414 1795896552 2693844828 3591793104 5387689656 10775379312