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1116452064 = 253721318257
BaseRepresentation
bin100001010001011…
…1011010011100000
32212210210122022110
41002202323103200
54241302431224
6302441235320
736444454200
oct10242732340
92783718273
101116452064
11523231a62
12271a92b40
1314a3c1230
14a83c2400
1568035929
hex428bb4e0

1116452064 has 144 divisors (see below), whose sum is σ = 3671610768. Its totient is φ = 294432768.

The previous prime is 1116452041. The next prime is 1116452087. The reversal of 1116452064 is 4602546111.

It is an interprime number because it is at equal distance from previous prime (1116452041) and next prime (1116452087).

It is a super-2 number, since 2×11164520642 = 2492930422419720192, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52024 + ... + 70280.

It is an arithmetic number, because the mean of its divisors is an integer number (25497297).

Almost surely, 21116452064 is an apocalyptic number.

1116452064 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 1116452064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1835805384).

1116452064 is an abundant number, since it is smaller than the sum of its proper divisors (2555158704).

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

1116452064 is a wasteful number, since it uses less digits than its factorization.

1116452064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18297 (or 18282 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 1116452064 is about 33413.3515828628. The cubic root of 1116452064 is about 1037.4010748858.

Adding to 1116452064 its reverse (4602546111), we get a palindrome (5718998175).

The spelling of 1116452064 in words is "one billion, one hundred sixteen million, four hundred fifty-two thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 49 52 56 78 84 91 96 98 104 112 147 156 168 182 196 208 224 273 294 312 336 364 392 416 546 588 624 637 672 728 784 1092 1176 1248 1274 1456 1568 1911 2184 2352 2548 2912 3822 4368 4704 5096 7644 8736 10192 15288 18257 20384 30576 36514 54771 61152 73028 109542 127799 146056 219084 237341 255598 292112 383397 438168 474682 511196 584224 712023 766794 876336 894593 949364 1022392 1424046 1533588 1661387 1752672 1789186 1898728 2044784 2683779 2848092 3067176 3322774 3578372 3797456 4089568 4984161 5367558 5696184 6134352 6645548 7156744 7594912 9968322 10735116 11392368 11629709 12268704 13291096 14313488 19936644 21470232 22784736 23259418 26582192 28626976 34889127 39873288 42940464 46518836 53164384 69778254 79746576 85880928 93037672 139556508 159493152 186075344 279113016 372150688 558226032 1116452064