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11061397600 = 2552111399043
BaseRepresentation
bin10100100110100111…
…11000100001100000
31001112212222012220121
422103103320201200
5140123204210400
65025340050024
7541053220411
oct122323704140
931485865817
1011061397600
114766963810
122188533914
1310738737a6
1476d0d3808
1544b16b21a
hex2934f8860

11061397600 has 144 divisors (see below), whose sum is σ = 29673725760. Its totient is φ = 3992947200.

The previous prime is 11061397583. The next prime is 11061397603. The reversal of 11061397600 is 679316011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11061397603) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1218679 + ... + 1227721.

It is an arithmetic number, because the mean of its divisors is an integer number (206067540).

Almost surely, 211061397600 is an apocalyptic number.

11061397600 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 11061397600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14836862880).

11061397600 is an abundant number, since it is smaller than the sum of its proper divisors (18612328160).

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

11061397600 is a wasteful number, since it uses less digits than its factorization.

11061397600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9213 (or 9200 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 34.

The spelling of 11061397600 in words is "eleven billion, sixty-one million, three hundred ninety-seven thousand, six hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 139 160 176 200 220 275 278 352 400 440 550 556 695 800 880 1100 1112 1390 1529 1760 2200 2224 2780 3058 3475 4400 4448 5560 6116 6950 7645 8800 9043 11120 12232 13900 15290 18086 22240 24464 27800 30580 36172 38225 45215 48928 55600 61160 72344 76450 90430 99473 111200 122320 144688 152900 180860 198946 226075 244640 289376 305800 361720 397892 452150 497365 611600 723440 795784 904300 994730 1223200 1256977 1446880 1591568 1808600 1989460 2486825 2513954 3183136 3617200 3978920 4973650 5027908 6284885 7234400 7957840 9947300 10055816 12569770 13826747 15915680 19894600 20111632 25139540 27653494 31424425 39789200 40223264 50279080 55306988 62848850 69133735 79578400 100558160 110613976 125697700 138267470 201116320 221227952 251395400 276534940 345668675 442455904 502790800 553069880 691337350 1005581600 1106139760 1382674700 2212279520 2765349400 5530698800 11061397600