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10956079344 = 243724658197
BaseRepresentation
bin10100011010000100…
…01000000011110000
31001021112210111102110
422031002020003300
5134414224014334
65011054445320
7535334065200
oct121502100360
931245714373
1010956079344
11471246a631
122159203840
131057aba3b2
1475d11a400
15441cb5ae9
hex28d0880f0

10956079344 has 60 divisors (see below), whose sum is σ = 32924143464. Its totient is φ = 3130307712.

The previous prime is 10956079339. The next prime is 10956079357. The reversal of 10956079344 is 44397065901.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 10956079293 and 10956079302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2326747 + ... + 2331450.

Almost surely, 210956079344 is an apocalyptic number.

10956079344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10956079344 is an abundant number, since it is smaller than the sum of its proper divisors (21968064120).

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

10956079344 is a wasteful number, since it uses less digits than its factorization.

10956079344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4658222 (or 4658209 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 48.

The spelling of 10956079344 in words is "ten billion, nine hundred fifty-six million, seventy-nine thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 392 588 784 1176 2352 4658197 9316394 13974591 18632788 27949182 32607379 37265576 55898364 65214758 74531152 97822137 111796728 130429516 195644274 223593456 228251653 260859032 391288548 456503306 521718064 684754959 782577096 913006612 1369509918 1565154192 1826013224 2739019836 3652026448 5478039672 10956079344