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1105069603712 = 271710311343633
BaseRepresentation
bin10000000101001011010…
…001111111101110000000
310220122101012102022122012
4100011023101333232000
5121101140304304322
62203354552432052
7142560440435204
oct20051321775600
93818335368565
101105069603712
11396725a89328
1215a2056a8628
1380291197199
143b6b28c6b04
151db2aaa5ae2
hex1014b47fb80

1105069603712 has 128 divisors (see below), whose sum is σ = 2374520391360. Its totient is φ = 510414815232.

The previous prime is 1105069603709. The next prime is 1105069603717. The reversal of 1105069603712 is 2173069605011.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×11050696037123 (a number of 37 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1105069603712.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1105069603717) 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, 25304648 + ... + 25348280.

Almost surely, 21105069603712 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 1105069603712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1187260195680).

1105069603712 is an abundant number, since it is smaller than the sum of its proper divisors (1269450787648).

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

1105069603712 is a wasteful number, since it uses less digits than its factorization.

1105069603712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43880 (or 43868 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 41.

The spelling of 1105069603712 in words is "one trillion, one hundred five billion, sixty-nine million, six hundred three thousand, seven hundred twelve".

Divisors: 1 2 4 8 16 17 32 34 64 68 103 113 128 136 206 226 272 412 452 544 824 904 1088 1648 1751 1808 1921 2176 3296 3502 3616 3842 6592 7004 7232 7684 11639 13184 14008 14464 15368 23278 28016 30736 43633 46556 56032 61472 87266 93112 112064 122944 174532 186224 197863 224128 245888 349064 372448 395726 698128 741761 744896 791452 1396256 1483522 1489792 1582904 2792512 2967044 3165808 4494199 4930529 5585024 5934088 6331616 8988398 9861058 11868176 12663232 17976796 19722116 23736352 25326464 35953592 39444232 47472704 71907184 76401383 78888464 83818993 94945408 143814368 152802766 157776928 167637986 287628736 305605532 315553856 335275972 507844487 575257472 611211064 631107712 670551944 1015688974 1222422128 1341103888 2031377948 2444844256 2682207776 4062755896 4889688512 5364415552 8125511792 8633356279 9779377024 10728831104 16251023584 17266712558 32502047168 34533425116 65004094336 69066850232 138133700464 276267400928 552534801856 1105069603712