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11076357040 = 2457193133581
BaseRepresentation
bin10100101000011001…
…11100101110110000
31001120221010020101221
422110030330232300
5140141021411130
65031032434424
7541324324060
oct122414745660
931527106357
1011076357040
114774350a91
122191548a14
1310769b0828
147710a93a0
1544c62387a
hex29433cbb0

11076357040 has 160 divisors (see below), whose sum is σ = 31980810240. Its totient is φ = 3481574400.

The previous prime is 11076356989. The next prime is 11076357049. The reversal of 11076357040 is 4075367011.

It is a junction number, because it is equal to n+sod(n) for n = 11076356987 and 11076357005.

It is not an unprimeable number, because it can be changed into a prime (11076357049) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 313050 + ... + 346630.

It is an arithmetic number, because the mean of its divisors is an integer number (199880064).

Almost surely, 211076357040 is an apocalyptic number.

11076357040 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 11076357040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15990405120).

11076357040 is an abundant number, since it is smaller than the sum of its proper divisors (20904453200).

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

11076357040 is a wasteful number, since it uses less digits than its factorization.

11076357040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33651 (or 33645 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 34.

The spelling of 11076357040 in words is "eleven billion, seventy-six million, three hundred fifty-seven thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 31 35 38 40 56 62 70 76 80 95 112 124 133 140 152 155 190 217 248 266 280 304 310 380 434 496 532 560 589 620 665 760 868 1064 1085 1178 1240 1330 1520 1736 2128 2170 2356 2480 2660 2945 3472 4123 4340 4712 5320 5890 8246 8680 9424 10640 11780 16492 17360 20615 23560 32984 33581 41230 47120 65968 67162 82460 134324 164920 167905 235067 268648 329840 335810 470134 537296 638039 671620 940268 1041011 1175335 1276078 1343240 1880536 2082022 2350670 2552156 2686480 3190195 3761072 4164044 4466273 4701340 5104312 5205055 6380390 7287077 8328088 8932546 9402680 10208624 10410110 12760780 14574154 16656176 17865092 18805360 19779209 20820220 22331365 25521560 29148308 35730184 36435385 39558418 41640440 44662730 51043120 58296616 71460368 72870770 79116836 83280880 89325460 98896045 116593232 138454463 145741540 158233672 178650920 197792090 276908926 291483080 316467344 357301840 395584180 553817852 582966160 692272315 791168360 1107635704 1384544630 1582336720 2215271408 2769089260 5538178520 11076357040