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10655110656 = 293628547
BaseRepresentation
bin10011110110001100…
…00001011000000000
31000111120110201000000
421323012001120000
5133310202020111
64521144000000
7525020642361
oct117306013000
930446421000
1010655110656
114578594383
122094460000
13100a640708
14731173b68
15425664c56
hex27b181600

10655110656 has 140 divisors (see below), whose sum is σ = 31920632172. Its totient is φ = 3551579136.

The previous prime is 10655110601. The next prime is 10655110673. The reversal of 10655110656 is 65601155601.

It is a super-2 number, since 2×106551106562 (a number of 21 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10655110656.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 358975 + ... + 387521.

Almost surely, 210655110656 is an apocalyptic number.

10655110656 is a gapful number since it is divisible by the number (16) 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 10655110656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15960316086).

10655110656 is an abundant number, since it is smaller than the sum of its proper divisors (21265521516).

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

10655110656 is an frugal number, since it uses more digits than its factorization.

10655110656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28583 (or 28552 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The spelling of 10655110656 in words is "ten billion, six hundred fifty-five million, one hundred ten thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 512 576 648 729 768 864 972 1152 1296 1458 1536 1728 1944 2304 2592 2916 3456 3888 4608 5184 5832 6912 7776 10368 11664 13824 15552 20736 23328 28547 31104 41472 46656 57094 62208 85641 93312 114188 124416 171282 186624 228376 256923 342564 373248 456752 513846 685128 770769 913504 1027692 1370256 1541538 1827008 2055384 2312307 2740512 3083076 3654016 4110768 4624614 5481024 6166152 6936921 7308032 8221536 9249228 10962048 12332304 13873842 14616064 16443072 18498456 20810763 21924096 24664608 27747684 32886144 36996912 41621526 43848192 49329216 55495368 65772288 73993824 83243052 98658432 110990736 131544576 147987648 166486104 197316864 221981472 295975296 332972208 394633728 443962944 591950592 665944416 887925888 1183901184 1331888832 1775851776 2663777664 3551703552 5327555328 10655110656