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11040050320 = 24513194113627
BaseRepresentation
bin10100100100000100…
…11100110010010000
31001111101210122221121
422102002130302100
5140102223102240
65023254332024
7540403610425
oct122202346220
931441718847
1011040050320
114755903232
12218135a014
13106c30b070
1476a337d4c
1544935104a
hex29209cc90

11040050320 has 160 divisors (see below), whose sum is σ = 29809342080. Its totient is φ = 3767316480.

The previous prime is 11040050299. The next prime is 11040050353. The reversal of 11040050320 is 2305004011.

It is a super-2 number, since 2×110400503202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 11040050294 and 11040050303.

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, 803347 + ... + 816973.

It is an arithmetic number, because the mean of its divisors is an integer number (186308388).

Almost surely, 211040050320 is an apocalyptic number.

11040050320 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 11040050320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14904671040).

11040050320 is an abundant number, since it is smaller than the sum of its proper divisors (18769291760).

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

11040050320 is a wasteful number, since it uses less digits than its factorization.

11040050320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13713 (or 13707 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

Adding to 11040050320 its reverse (2305004011), we get a palindrome (13345054331).

The spelling of 11040050320 in words is "eleven billion, forty million, fifty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 19 20 26 38 40 41 52 65 76 80 82 95 104 130 152 164 190 205 208 247 260 304 328 380 410 494 520 533 656 760 779 820 988 1040 1066 1235 1520 1558 1640 1976 2132 2470 2665 3116 3280 3895 3952 4264 4940 5330 6232 7790 8528 9880 10127 10660 12464 13627 15580 19760 20254 21320 27254 31160 40508 42640 50635 54508 62320 68135 81016 101270 109016 136270 162032 177151 202540 218032 258913 272540 354302 405080 517826 545080 558707 708604 810160 885755 1035652 1090160 1117414 1294565 1417208 1771510 2071304 2234828 2589130 2793535 2834416 3365869 3543020 4142608 4469656 5178260 5587070 6731738 7086040 7263191 8939312 10356520 10615433 11174140 13463476 14172080 14526382 16829345 20713040 21230866 22348280 26926952 29052764 33658690 36315955 42461732 44696560 53077165 53853904 58105528 67317380 72631910 84923464 106154330 116211056 134634760 138000629 145263820 169846928 212308660 269269520 276001258 290527640 424617320 552002516 581055280 690003145 849234640 1104005032 1380006290 2208010064 2760012580 5520025160 11040050320