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11740180816 = 247138990599
BaseRepresentation
bin10101110111100010…
…01111000101010000
31010022012012222102201
422323301033011100
5143020441241231
65220544452544
7563634614260
oct127361170520
933265188381
1011740180816
114a85031681
12233791a154
131151394970
147d53077a0
1548aa4c161
hex2bbc4f150

11740180816 has 80 divisors (see below), whose sum is σ = 28310688000. Its totient is φ = 4592231424.

The previous prime is 11740180813. The next prime is 11740180817. The reversal of 11740180816 is 61808104711.

11740180816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11740180811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84285 + ... + 174883.

It is an arithmetic number, because the mean of its divisors is an integer number (353883600).

Almost surely, 211740180816 is an apocalyptic number.

11740180816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11740180816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14155344000).

11740180816 is an abundant number, since it is smaller than the sum of its proper divisors (16570507184).

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

11740180816 is a wasteful number, since it uses less digits than its factorization.

11740180816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90716 (or 90710 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 37.

The spelling of 11740180816 in words is "eleven billion, seven hundred forty million, one hundred eighty thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 89 91 104 112 178 182 208 356 364 623 712 728 1157 1246 1424 1456 2314 2492 4628 4984 8099 9256 9968 16198 18512 32396 64792 90599 129584 181198 362396 634193 724792 1177787 1268386 1449584 2355574 2536772 4711148 5073544 8063311 8244509 9422296 10147088 16126622 16489018 18844592 32253244 32978036 56443177 64506488 65956072 104823043 112886354 129012976 131912144 209646086 225772708 419292172 451545416 733761301 838584344 903090832 1467522602 1677168688 2935045204 5870090408 11740180816