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11249039680 = 265192963799
BaseRepresentation
bin10100111100111111…
…01011100101000000
31002000222001102110021
422132133223211000
5141014223232210
65100121543224
7545522155024
oct123637534500
932028042407
1011249039680
11485287600a
12221b344b14
1310a36c1bc8
14789dba384
1545c883bda
hex29e7eb940

11249039680 has 112 divisors (see below), whose sum is σ = 29169360000. Its totient is φ = 4115736576.

The previous prime is 11249039611. The next prime is 11249039729. The reversal of 11249039680 is 8693094211.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 144421 + ... + 208219.

Almost surely, 211249039680 is an apocalyptic number.

11249039680 is a gapful number since it is divisible by the number (10) 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 11249039680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14584680000).

11249039680 is an abundant number, since it is smaller than the sum of its proper divisors (17920320320).

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

11249039680 is a wasteful number, since it uses less digits than its factorization.

11249039680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63864 (or 63854 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 43.

The spelling of 11249039680 in words is "eleven billion, two hundred forty-nine million, thirty-nine thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 19 20 29 32 38 40 58 64 76 80 95 116 145 152 160 190 232 290 304 320 380 464 551 580 608 760 928 1102 1160 1216 1520 1856 2204 2320 2755 3040 4408 4640 5510 6080 8816 9280 11020 17632 22040 35264 44080 63799 88160 127598 176320 255196 318995 510392 637990 1020784 1212181 1275980 1850171 2041568 2424362 2551960 3700342 4083136 4848724 5103920 6060905 7400684 9250855 9697448 10207840 12121810 14801368 18501710 19394896 20415680 24243620 29602736 35153249 37003420 38789792 48487240 59205472 70306498 74006840 77579584 96974480 118410944 140612996 148013680 175766245 193948960 281225992 296027360 351532490 387897920 562451984 592054720 703064980 1124903968 1406129960 2249807936 2812259920 5624519840 11249039680