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11126353040 = 24511232412281
BaseRepresentation
bin10100101110010111…
…01010110010010000
31001201102012022000122
422113023222302100
5140241321244130
65040020205412
7542502304025
oct122713526220
931642168018
1011126353040
11479a5997a0
1221a6239868
13108416716a
147779a154c
15451bec2e5
hex2972eac90

11126353040 has 160 divisors (see below), whose sum is σ = 29582606592. Its totient is φ = 3852288000.

The previous prime is 11126353039. The next prime is 11126353177. The reversal of 11126353040 is 4035362111.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4876700 + ... + 4878980.

Almost surely, 211126353040 is an apocalyptic number.

11126353040 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 11126353040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14791303296).

11126353040 is an abundant number, since it is smaller than the sum of its proper divisors (18456253552).

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

11126353040 is a wasteful number, since it uses less digits than its factorization.

11126353040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2569 (or 2563 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The spelling of 11126353040 in words is "eleven billion, one hundred twenty-six million, three hundred fifty-three thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 23 40 44 46 55 80 88 92 110 115 176 184 220 230 241 253 368 440 460 482 506 880 920 964 1012 1205 1265 1840 1928 2024 2281 2410 2530 2651 3856 4048 4562 4820 5060 5302 5543 9124 9640 10120 10604 11086 11405 13255 18248 19280 20240 21208 22172 22810 25091 26510 27715 36496 42416 44344 45620 50182 52463 53020 55430 60973 88688 91240 100364 104926 106040 110860 121946 125455 182480 200728 209852 212080 221720 243892 250910 262315 304865 401456 419704 443440 487784 501820 524630 549721 577093 609730 839408 975568 1003640 1049260 1099442 1154186 1219460 2007280 2098520 2198884 2308372 2438920 2748605 2885465 4197040 4397768 4616744 4877840 5497210 5770930 6046931 8795536 9233488 10994420 11541860 12093862 12643583 21988840 23083720 24187724 25287166 30234655 43977680 46167440 48375448 50574332 60469310 63217915 96750896 101148664 120938620 126435830 139079413 202297328 241877240 252871660 278158826 483754480 505743320 556317652 695397065 1011486640 1112635304 1390794130 2225270608 2781588260 5563176520 11126353040