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11107097856 = 283216728867
BaseRepresentation
bin10100101100000100…
…01101110100000000
31001200001222000212200
422112002031310000
5140221404112411
65034051353200
7542146526331
oct122602156400
931601860780
1011107097856
11478a738018
12219b8b2800
131080184a6a
147751cc288
15450196e56
hex29608dd00

11107097856 has 108 divisors (see below), whose sum is σ = 32217380832. Its totient is φ = 3680068608.

The previous prime is 11107097809. The next prime is 11107097861. The reversal of 11107097856 is 65879070111.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 370335 + ... + 399201.

Almost surely, 211107097856 is an apocalyptic number.

11107097856 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 11107097856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16108690416).

11107097856 is an abundant number, since it is smaller than the sum of its proper divisors (21110282976).

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

11107097856 is a wasteful number, since it uses less digits than its factorization.

11107097856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29056 (or 29039 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 45.

The spelling of 11107097856 in words is "eleven billion, one hundred seven million, ninety-seven thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 167 192 256 288 334 384 501 576 668 768 1002 1152 1336 1503 2004 2304 2672 3006 4008 5344 6012 8016 10688 12024 16032 21376 24048 28867 32064 42752 48096 57734 64128 86601 96192 115468 128256 173202 192384 230936 259803 346404 384768 461872 519606 692808 923744 1039212 1385616 1847488 2078424 2771232 3694976 4156848 4820789 5542464 7389952 8313696 9641578 11084928 14462367 16627392 19283156 22169856 28924734 33254784 38566312 43387101 57849468 66509568 77132624 86774202 115698936 154265248 173548404 231397872 308530496 347096808 462795744 617060992 694193616 925591488 1234121984 1388387232 1851182976 2776774464 3702365952 5553548928 11107097856