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11019452544 = 27342394447
BaseRepresentation
bin10100100001100111…
…11000000010000000
31001102222001012010000
422100303320002000
5140031434440134
65021241040000
7540033541542
oct122063700200
931388035100
1011019452544
114745214881
122176486000
131067c78829
147676d5692
15447632e99
hex290cf8080

11019452544 has 160 divisors (see below), whose sum is σ = 32938329600. Its totient is φ = 3656959488.

The previous prime is 11019452533. The next prime is 11019452569. The reversal of 11019452544 is 44525491011.

11019452544 is a `hidden beast` number, since 1 + 1 + 0 + 1 + 94 + 525 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11019452499 and 11019452508.

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 19 ways as a sum of consecutive naturals, for example, 2475729 + ... + 2480175.

It is an arithmetic number, because the mean of its divisors is an integer number (205864560).

Almost surely, 211019452544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11019452544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16469164800).

11019452544 is an abundant number, since it is smaller than the sum of its proper divisors (21918877056).

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

11019452544 is an equidigital number, since it uses as much as digits as its factorization.

11019452544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4712 (or 4691 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 11019452544 in words is "eleven billion, nineteen million, four hundred fifty-two thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 239 288 324 384 432 478 576 648 717 864 956 1152 1296 1434 1728 1912 2151 2592 2868 3456 3824 4302 4447 5184 5736 6453 7648 8604 8894 10368 11472 12906 13341 15296 17208 17788 19359 22944 25812 26682 30592 34416 35576 38718 40023 45888 51624 53364 68832 71152 77436 80046 91776 103248 106728 120069 137664 142304 154872 160092 206496 213456 240138 275328 284608 309744 320184 360207 412992 426912 480276 569216 619488 640368 720414 825984 853824 960552 1062833 1238976 1280736 1440828 1707648 1921104 2125666 2477952 2561472 2881656 3188499 3842208 4251332 5122944 5763312 6376998 7684416 8502664 9565497 11526624 12753996 15368832 17005328 19130994 23053248 25507992 28696491 34010656 38261988 46106496 51015984 57392982 68021312 76523976 86089473 102031968 114785964 136042624 153047952 172178946 204063936 229571928 306095904 344357892 408127872 459143856 612191808 688715784 918287712 1224383616 1377431568 1836575424 2754863136 3673150848 5509726272 11019452544