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11741990080 = 265834331021
BaseRepresentation
bin10101110111110000…
…01000110011000000
31010022022121220021111
422323320020303000
5143021422140310
65221051333104
7563656161142
oct127370106300
933268556244
1011741990080
114a86057a37
122338451194
131151879332
147d5658c92
1548aca828a
hex2bbe08cc0

11741990080 has 112 divisors (see below), whose sum is σ = 28390620384. Its totient is φ = 4624957440.

The previous prime is 11741990047. The next prime is 11741990081. The reversal of 11741990080 is 8009914711.

It is a super-3 number, since 3×117419900803 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (11741990081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11499970 + ... + 11500990.

It is an arithmetic number, because the mean of its divisors is an integer number (253487682).

Almost surely, 211741990080 is an apocalyptic number.

11741990080 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 11741990080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14195310192).

11741990080 is an abundant number, since it is smaller than the sum of its proper divisors (16648630304).

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

11741990080 is a wasteful number, since it uses less digits than its factorization.

11741990080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1554 (or 1544 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 40.

The spelling of 11741990080 in words is "eleven billion, seven hundred forty-one million, nine hundred ninety thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 83 160 166 320 332 415 433 664 830 866 1021 1328 1660 1732 2042 2165 2656 3320 3464 4084 4330 5105 5312 6640 6928 8168 8660 10210 13280 13856 16336 17320 20420 26560 27712 32672 34640 35939 40840 65344 69280 71878 81680 84743 138560 143756 163360 169486 179695 287512 326720 338972 359390 423715 442093 575024 677944 718780 847430 884186 1150048 1355888 1437560 1694860 1768372 2210465 2300096 2711776 2875120 3389720 3536744 4420930 5423552 5750240 6779440 7073488 8841860 11500480 13558880 14146976 17683720 27117760 28293952 35367440 36693719 70734880 73387438 141469760 146774876 183468595 293549752 366937190 587099504 733874380 1174199008 1467748760 2348398016 2935497520 5870995040 11741990080