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10448110656 = 263242592
BaseRepresentation
bin10011011101100000…
…11000010001000000
3222222010222000101100
421232300120101000
5132344204020111
64444431134400
7516625322004
oct115660302100
928863860340
1010448110656
1144817601a5
122037074400
13ca67a51c9
1471188c704
154123c6756
hex26ec18440

10448110656 has 63 divisors (see below), whose sum is σ = 29954655991. Its totient is φ = 3481885824.

The previous prime is 10448110627. The next prime is 10448110661. The reversal of 10448110656 is 65601184401.

The square root of 10448110656 is 102216.

It is a perfect power (a square), and thus also a powerful number.

10448110656 is a `hidden beast` number, since 104 + 481 + 10 + 65 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10448110656.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2451055 + ... + 2455313.

Almost surely, 210448110656 is an apocalyptic number.

10448110656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10448110656 is the 102216-th square number.

It is an amenable number.

10448110656 is an abundant number, since it is smaller than the sum of its proper divisors (19506545335).

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

10448110656 is an frugal number, since it uses more digits than its factorization.

10448110656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8536 (or 4264 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

Multiplying 10448110656 by its sum of digits (36), we get a square (376131983616 = 6132962).

10448110656 divided by its sum of digits (36) gives a square (290225296 = 170362).

It can be divided in two parts, 10448 and 110656, that added together give a square (121104 = 3482).

The spelling of 10448110656 in words is "ten billion, four hundred forty-eight million, one hundred ten thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 4259 8518 12777 17036 25554 34072 38331 51108 68144 76662 102216 136288 153324 204432 272576 306648 408864 613296 817728 1226592 2453184 18139081 36278162 54417243 72556324 108834486 145112648 163251729 217668972 290225296 326503458 435337944 580450592 653006916 870675888 1160901184 1306013832 1741351776 2612027664 3482703552 5224055328 10448110656