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10556380368 = 2432179409543
BaseRepresentation
bin10011101010011010…
…11001010011010000
31000020200200200111200
421311031121103100
5133104413132433
64503255511200
7522411516102
oct116515312320
930220620450
1010556380368
11452788a8a6
122067388500
13cc3052b21
14721dd3572
1541bb61613
hex2753594d0

10556380368 has 60 divisors (see below), whose sum is σ = 29708321760. Its totient is φ = 3499126848.

The previous prime is 10556380363. The next prime is 10556380379. The reversal of 10556380368 is 86308365501.

10556380368 is a `hidden beast` number, since 1 + 0 + 5 + 5 + 638 + 0 + 3 + 6 + 8 = 666.

It is a super-2 number, since 2×105563803682 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10556380363) 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, 178996 + ... + 230547.

It is an arithmetic number, because the mean of its divisors is an integer number (495138696).

Almost surely, 210556380368 is an apocalyptic number.

10556380368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10556380368 is an abundant number, since it is smaller than the sum of its proper divisors (19151941392).

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

10556380368 is a wasteful number, since it uses less digits than its factorization.

10556380368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409736 (or 409727 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 10556380368 in words is "ten billion, five hundred fifty-six million, three hundred eighty thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 179 358 537 716 1074 1432 1611 2148 2864 3222 4296 6444 8592 12888 25776 409543 819086 1228629 1638172 2457258 3276344 3685887 4914516 6552688 7371774 9829032 14743548 19658064 29487096 58974192 73308197 146616394 219924591 293232788 439849182 586465576 659773773 879698364 1172931152 1319547546 1759396728 2639095092 3518793456 5278190184 10556380368