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11612278272 = 29372346957
BaseRepresentation
bin10101101000010010…
…10100111000000000
31002222021112212010110
422310021110320000
5142240220401042
65200135231320
7560522510460
oct126411247000
932867485113
1011612278272
114a199125a1
122300b18540
131130a31a9a
147c2331ba0
1547e6d509c
hex2b4254e00

11612278272 has 160 divisors (see below), whose sum is σ = 36893210112. Its totient is φ = 3173474304.

The previous prime is 11612278253. The next prime is 11612278289. The reversal of 11612278272 is 27287221611.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 11612278272.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 223818 + ... + 270774.

Almost surely, 211612278272 is an apocalyptic number.

11612278272 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 11612278272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18446605056).

11612278272 is an abundant number, since it is smaller than the sum of its proper divisors (25280931840).

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

11612278272 is an equidigital number, since it uses as much as digits as its factorization.

11612278272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47008 (or 46992 counting only the distinct ones).

The product of its digits is 37632, while the sum is 39.

Adding to 11612278272 its reverse (27287221611), we get a palindrome (38899499883).

The spelling of 11612278272 in words is "eleven billion, six hundred twelve million, two hundred seventy-eight thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 32 42 46 48 56 64 69 84 92 96 112 128 138 161 168 184 192 224 256 276 322 336 368 384 448 483 512 552 644 672 736 768 896 966 1104 1288 1344 1472 1536 1792 1932 2208 2576 2688 2944 3584 3864 4416 5152 5376 5888 7728 8832 10304 10752 11776 15456 17664 20608 30912 35328 41216 46957 61824 82432 93914 123648 140871 187828 247296 281742 328699 375656 563484 657398 751312 986097 1080011 1126968 1314796 1502624 1972194 2160022 2253936 2629592 3005248 3240033 3944388 4320044 4507872 5259184 6010496 6480066 7560077 7888776 8640088 9015744 10518368 12020992 12960132 15120154 15777552 17280176 18031488 21036736 22680231 24041984 25920264 30240308 31555104 34560352 36062976 42073472 45360462 51840528 60480616 63110208 69120704 72125952 84146944 90720924 103681056 120961232 126220416 138241408 168293888 181441848 207362112 241922464 252440832 276482816 362883696 414724224 483844928 504881664 552965632 725767392 829448448 967689856 1451534784 1658896896 1935379712 2903069568 3870759424 5806139136 11612278272