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27112997376 = 29332967631
BaseRepresentation
bin11001010000000011…
…111000001000000000
32120222112212222022000
4121100003320020000
5421011411404001
620242221344000
71646612450403
oct312003701000
976875788260
1027112997376
1110553642253
125308108000
13273122531a
141452c57d3a
15a8a455a86
hex6500f8200

27112997376 has 160 divisors (see below), whose sum is σ = 83025043200. Its totient is φ = 8725893120.

The previous prime is 27112997369. The next prime is 27112997441. The reversal of 27112997376 is 67379921172.

It is a super-2 number, since 2×271129973762 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 367081 + ... + 434711.

It is an arithmetic number, because the mean of its divisors is an integer number (518906520).

Almost surely, 227112997376 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 27112997376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41512521600).

27112997376 is an abundant number, since it is smaller than the sum of its proper divisors (55912045824).

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

27112997376 is an equidigital number, since it uses as much as digits as its factorization.

27112997376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67687 (or 67665 counting only the distinct ones).

The product of its digits is 2000376, while the sum is 54.

The spelling of 27112997376 in words is "twenty-seven billion, one hundred twelve million, nine hundred ninety-seven thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 64 72 87 96 108 116 128 144 174 192 216 232 256 261 288 348 384 432 464 512 522 576 696 768 783 864 928 1044 1152 1392 1536 1566 1728 1856 2088 2304 2784 3132 3456 3712 4176 4608 5568 6264 6912 7424 8352 11136 12528 13824 14848 16704 22272 25056 33408 44544 50112 66816 67631 100224 133632 135262 200448 202893 270524 400896 405786 541048 608679 811572 1082096 1217358 1623144 1826037 1961299 2164192 2434716 3246288 3652074 3922598 4328384 4869432 5883897 6492576 7304148 7845196 8656768 9738864 11767794 12985152 14608296 15690392 17313536 17651691 19477728 23535588 25970304 29216592 31380784 34627072 35303382 38955456 47071176 51940608 52955073 58433184 62761568 70606764 77910912 94142352 103881216 105910146 116866368 125523136 141213528 155821824 188284704 211820292 233732736 251046272 282427056 311643648 376569408 423640584 467465472 502092544 564854112 753138816 847281168 934930944 1004185088 1129708224 1506277632 1694562336 2259416448 3012555264 3389124672 4518832896 6778249344 9037665792 13556498688 27112997376