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1118742912 = 27327219819
BaseRepresentation
bin100001010101110…
…1010100110000000
32212222010000202200
41002223222212000
54242344233122
6303002313200
736503105100
oct10253524600
92788100680
101118742912
11524557121
122727b8800
1314aa13b71
14a881b200
15683395ac
hex42aea980

1118742912 has 144 divisors (see below), whose sum is σ = 3745088100. Its totient is φ = 319624704.

The previous prime is 1118742899. The next prime is 1118742913. The reversal of 1118742912 is 2192478111.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1118742913) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 46539 + ... + 66357.

Almost surely, 21118742912 is an apocalyptic number.

1118742912 is a gapful number since it is divisible by the number (12) 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 1118742912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1872544050).

1118742912 is an abundant number, since it is smaller than the sum of its proper divisors (2626345188).

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

1118742912 is a wasteful number, since it uses less digits than its factorization.

1118742912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19853 (or 19831 counting only the distinct ones).

The product of its digits is 8064, while the sum is 36.

The square root of 1118742912 is about 33447.6144440826. The cubic root of 1118742912 is about 1038.1101378895.

The spelling of 1118742912 in words is "one billion, one hundred eighteen million, seven hundred forty-two thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 64 72 84 96 98 112 126 128 144 147 168 192 196 224 252 288 294 336 384 392 441 448 504 576 588 672 784 882 896 1008 1152 1176 1344 1568 1764 2016 2352 2688 3136 3528 4032 4704 6272 7056 8064 9408 14112 18816 19819 28224 39638 56448 59457 79276 118914 138733 158552 178371 237828 277466 317104 356742 416199 475656 554932 634208 713484 832398 951312 971131 1109864 1248597 1268416 1426968 1664796 1902624 1942262 2219728 2497194 2536832 2853936 2913393 3329592 3805248 3884524 4439456 4994388 5707872 5826786 6659184 7610496 7769048 8740179 8878912 9988776 11415744 11653572 13318368 15538096 17480358 17757824 19977552 22831488 23307144 26636736 31076192 34960716 39955104 46614288 53273472 62152384 69921432 79910208 93228576 124304768 139842864 159820416 186457152 279685728 372914304 559371456 1118742912