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11651920020 = 223251317292909
BaseRepresentation
bin10101101101000001…
…00011000010010100
31010002001010212101100
422312200203002110
5142330342420040
65204113030100
7561513454206
oct126640430224
933061125340
1011651920020
114a3a228a74
122312255330
131139001540
147c76d0776
15482e15b30
hex2b6823094

11651920020 has 144 divisors (see below), whose sum is σ = 40302072720. Its totient is φ = 2699440128.

The previous prime is 11651920013. The next prime is 11651920073. The reversal of 11651920020 is 2002915611.

11651920020 is a `hidden beast` number, since 1 + 1 + 651 + 9 + 2 + 0 + 0 + 2 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1469495556 + 10182424464 = 38334^2 + 100908^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 106675 + ... + 186234.

It is an arithmetic number, because the mean of its divisors is an integer number (279875505).

Almost surely, 211651920020 is an apocalyptic number.

11651920020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11651920020 is an abundant number, since it is smaller than the sum of its proper divisors (28650152700).

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

11651920020 is a wasteful number, since it uses less digits than its factorization.

11651920020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292954 (or 292949 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The spelling of 11651920020 in words is "eleven billion, six hundred fifty-one million, nine hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 17 18 20 26 30 34 36 39 45 51 52 60 65 68 78 85 90 102 117 130 153 156 170 180 195 204 221 234 255 260 306 340 390 442 468 510 585 612 663 765 780 884 1020 1105 1170 1326 1530 1989 2210 2340 2652 3060 3315 3978 4420 6630 7956 9945 13260 19890 39780 292909 585818 878727 1171636 1464545 1757454 2636181 2929090 3514908 3807817 4393635 4979453 5272362 5858180 7615634 8787270 9958906 10544724 11423451 13180905 14938359 15231268 17574540 19039085 19917812 22846902 24897265 26361810 29876718 34270353 38078170 44815077 45693804 49794530 52723620 57117255 59753436 64732889 68540706 74691795 76156340 89630154 99589060 114234510 129465778 137081412 149383590 171351765 179260308 194198667 224075385 228469020 258931556 298767180 323664445 342703530 388397334 448150770 582596001 647328890 685407060 776794668 896301540 970993335 1165192002 1294657780 1941986670 2330384004 2912980005 3883973340 5825960010 11651920020