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11559069424 = 2472431991723
BaseRepresentation
bin10101100001111100…
…10110011011110000
31002211120102120022101
422300332112123300
5142133110210144
65150554550144
7556305316600
oct126076263360
932746376271
1011559069424
1149a187aa41
1222a7138354
1311229c1c66
147b9240c00
15479bc46d4
hex2b0f966f0

11559069424 has 120 divisors (see below), whose sum is σ = 26807510400. Its totient is φ = 4811571072.

The previous prime is 11559069419. The next prime is 11559069427. The reversal of 11559069424 is 42496095511.

It is a super-2 number, since 2×115590694242 (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 (11559069427) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6707827 + ... + 6709549.

It is an arithmetic number, because the mean of its divisors is an integer number (223395920).

Almost surely, 211559069424 is an apocalyptic number.

11559069424 is a gapful number since it is divisible by the number (14) 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 11559069424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13403755200).

11559069424 is an abundant number, since it is smaller than the sum of its proper divisors (15248440976).

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

11559069424 is a wasteful number, since it uses less digits than its factorization.

11559069424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1987 (or 1974 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 46.

The spelling of 11559069424 in words is "eleven billion, five hundred fifty-nine million, sixty-nine thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 43 49 56 86 98 112 172 196 199 301 344 392 398 602 688 784 796 1204 1393 1592 1723 2107 2408 2786 3184 3446 4214 4816 5572 6892 8428 8557 9751 11144 12061 13784 16856 17114 19502 22288 24122 27568 33712 34228 39004 48244 59899 68456 74089 78008 84427 96488 119798 136912 148178 156016 168854 192976 239596 296356 337708 342877 419293 479192 518623 592712 675416 685754 838586 958384 1037246 1185424 1350832 1371508 1677172 2074492 2400139 2743016 3354344 3630361 4148984 4800278 5486032 6708688 7260722 8297968 9600556 14521444 14743711 16800973 19201112 29042888 29487422 33601946 38402224 58085776 58974844 67203892 103205977 117949688 134407784 206411954 235899376 268815568 412823908 722441839 825647816 1444883678 1651295632 2889767356 5779534712 11559069424