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10941738048 = 263229655037
BaseRepresentation
bin10100011000010110…
…11010110001000000
31001020112210212212100
422030023122301000
5134402041104143
65005423230400
7535101144633
oct121413326100
931215725770
1010941738048
11470536481a
122154448400
131054b38817
1475b265c1a
154408d16d3
hex28c2dac40

10941738048 has 84 divisors (see below), whose sum is σ = 32444032140. Its totient is φ = 3521473536.

The previous prime is 10941738047. The next prime is 10941738091. The reversal of 10941738048 is 84083714901.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 5142610944 + 5799127104 = 71712^2 + 76152^2 .

It is a super-2 number, since 2×109417380482 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10941737994 and 10941738012.

It is not an unprimeable number, because it can be changed into a prime (10941738047) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 310815 + ... + 344222.

Almost surely, 210941738048 is an apocalyptic number.

10941738048 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10941738048 is an abundant number, since it is smaller than the sum of its proper divisors (21502294092).

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

10941738048 is a wasteful number, since it uses less digits than its factorization.

10941738048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655084 (or 655071 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 10941738048 in words is "ten billion, nine hundred forty-one million, seven hundred thirty-eight thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 64 72 87 96 116 144 174 192 232 261 288 348 464 522 576 696 928 1044 1392 1856 2088 2784 4176 5568 8352 16704 655037 1310074 1965111 2620148 3930222 5240296 5895333 7860444 10480592 11790666 15720888 18996073 20961184 23581332 31441776 37992146 41922368 47162664 56988219 62883552 75984292 94325328 113976438 125767104 151968584 170964657 188650656 227952876 303937168 341929314 377301312 455905752 607874336 683858628 911811504 1215748672 1367717256 1823623008 2735434512 3647246016 5470869024 10941738048