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11061512040 = 23354712715443
BaseRepresentation
bin10100100110101000…
…10100011101101000
31001112220012000220010
422103110110131220
5140123221341130
65025342331520
7541054205145
oct122324243550
931486160803
1011061512040
114766a31797
122188589ba0
1310738b38c7
1476d1233cc
1544b1900b0
hex293514768

11061512040 has 128 divisors (see below), whose sum is σ = 34159656960. Its totient is φ = 2864058624.

The previous prime is 11061512029. The next prime is 11061512051. The reversal of 11061512040 is 4021516011.

It is an interprime number because it is at equal distance from previous prime (11061512029) and next prime (11061512051).

It is a super-2 number, since 2×110615120402 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11061511998 and 11061512016.

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, 708559 + ... + 724001.

It is an arithmetic number, because the mean of its divisors is an integer number (266872320).

Almost surely, 211061512040 is an apocalyptic number.

11061512040 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 11061512040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17079828480).

11061512040 is an abundant number, since it is smaller than the sum of its proper divisors (23098144920).

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

11061512040 is a wasteful number, since it uses less digits than its factorization.

11061512040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15631 (or 15627 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

The spelling of 11061512040 in words is "eleven billion, sixty-one million, five hundred twelve thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 47 60 94 120 127 141 188 235 254 282 376 381 470 508 564 635 705 762 940 1016 1128 1270 1410 1524 1880 1905 2540 2820 3048 3810 5080 5640 5969 7620 11938 15240 15443 17907 23876 29845 30886 35814 46329 47752 59690 61772 71628 77215 89535 92658 119380 123544 143256 154430 179070 185316 231645 238760 308860 358140 370632 463290 617720 716280 725821 926580 1451642 1853160 1961261 2177463 2903284 3629105 3922522 4354926 5806568 5883783 7258210 7845044 8709852 9806305 10887315 11767566 14516420 15690088 17419704 19612610 21774630 23535132 29032840 29418915 39225220 43549260 47070264 58837830 78450440 87098520 92179267 117675660 184358534 235351320 276537801 368717068 460896335 553075602 737434136 921792670 1106151204 1382689005 1843585340 2212302408 2765378010 3687170680 5530756020 11061512040