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10655116608 = 263531317993
BaseRepresentation
bin10011110110001100…
…00010110101000000
31000111120111000011110
421323012002311000
5133310202212413
64521144043320
7525020665623
oct117306026500
930446430143
1010655116608
1145785988a4
122094463540
13100a643336
14731175dba
154256668c3
hex27b182d40

10655116608 has 112 divisors (see below), whose sum is σ = 28946465856. Its totient is φ = 3457658880.

The previous prime is 10655116607. The next prime is 10655116627. The reversal of 10655116608 is 80661155601.

It is a super-2 number, since 2×106551166082 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10655116601) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1329060 + ... + 1337052.

It is an arithmetic number, because the mean of its divisors is an integer number (258450588).

Almost surely, 210655116608 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 10655116608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14473232928).

10655116608 is an abundant number, since it is smaller than the sum of its proper divisors (18291349248).

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

10655116608 is a wasteful number, since it uses less digits than its factorization.

10655116608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8192 (or 8182 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 39.

The spelling of 10655116608 in words is "ten billion, six hundred fifty-five million, one hundred sixteen thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 131 159 192 212 262 318 393 424 524 636 786 848 1048 1272 1572 1696 2096 2544 3144 3392 4192 5088 6288 6943 7993 8384 10176 12576 13886 15986 20829 23979 25152 27772 31972 41658 47958 55544 63944 83316 95916 111088 127888 166632 191832 222176 255776 333264 383664 423629 444352 511552 666528 767328 847258 1047083 1270887 1333056 1534656 1694516 2094166 2541774 3141249 3389032 4188332 5083548 6282498 6778064 8376664 10167096 12564996 13556128 16753328 20334192 25129992 27112256 33506656 40668384 50259984 55495399 67013312 81336768 100519968 110990798 166486197 201039936 221981596 332972394 443963192 665944788 887926384 1331889576 1775852768 2663779152 3551705536 5327558304 10655116608