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11692096900 = 22521129832
BaseRepresentation
bin10101110001110011…
…10011110110000100
31010011211202001200221
422320321303312010
5142421134100100
65212110114124
7562512120031
oct127071636604
933154661627
1011692096900
114a5a97a500
1223237ab944
13114442a743
147ccb8c388
1548670001a
hex2b8e73d84

11692096900 has 81 divisors (see below), whose sum is σ = 27916466053. Its totient is φ = 4247346400.

The previous prime is 11692096877. The next prime is 11692096921. The reversal of 11692096900 is 969029611.

The square root of 11692096900 is 108130.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 4209154884 + 7482942016 = 64878^2 + 86504^2 .

It is a super-2 number, since 2×116920969002 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 11893809 + ... + 11894791.

Almost surely, 211692096900 is an apocalyptic number.

11692096900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11692096900 is the 108130-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11692096900

11692096900 is an abundant number, since it is smaller than the sum of its proper divisors (16224369153).

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

11692096900 is an equidigital number, since it uses as much as digits as its factorization.

11692096900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2002 (or 1001 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 43.

The spelling of 11692096900 in words is "eleven billion, six hundred ninety-two million, ninety-six thousand, nine hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 220 242 275 484 550 605 983 1100 1210 1966 2420 3025 3932 4915 6050 9830 10813 12100 19660 21626 24575 43252 49150 54065 98300 108130 118943 216260 237886 270325 475772 540650 594715 966289 1081300 1189430 1932578 2378860 2973575 3865156 4831445 5947150 9662890 10629179 11894300 19325780 21258358 24157225 42516716 48314450 53145895 96628900 106291790 116920969 212583580 233841938 265729475 467683876 531458950 584604845 1062917900 1169209690 2338419380 2923024225 5846048450 11692096900