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11490966480 = 243573139589
BaseRepresentation
bin10101011001110101…
…00011101111010000
31002122211021120122010
422230322203233100
5142013141411410
65140123142520
7554520414000
oct125472435720
932584246563
1011490966480
114967395214
122288374a40
131111868a66
147b0194000
15473c20c20
hex2acea3bd0

11490966480 has 160 divisors (see below), whose sum is σ = 41541984000. Its totient is φ = 2626487808.

The previous prime is 11490966413. The next prime is 11490966481. The reversal of 11490966480 is 8466909411.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11490966481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12526 + ... + 152114.

It is an arithmetic number, because the mean of its divisors is an integer number (259637400).

Almost surely, 211490966480 is an apocalyptic number.

11490966480 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 11490966480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20770992000).

11490966480 is an abundant number, since it is smaller than the sum of its proper divisors (30051017520).

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

11490966480 is a wasteful number, since it uses less digits than its factorization.

11490966480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139626 (or 139606 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 48.

The spelling of 11490966480 in words is "eleven billion, four hundred ninety million, nine hundred sixty-six thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 49 56 60 70 80 84 98 105 112 120 140 147 168 196 210 240 245 280 294 336 343 392 420 490 560 588 686 735 784 840 980 1029 1176 1372 1470 1680 1715 1960 2058 2352 2744 2940 3430 3920 4116 5145 5488 5880 6860 8232 10290 11760 13720 16464 20580 27440 41160 82320 139589 279178 418767 558356 697945 837534 977123 1116712 1395890 1675068 1954246 2093835 2233424 2791780 2931369 3350136 3908492 4187670 4885615 5583560 5862738 6700272 6839861 7816984 8375340 9771230 11167120 11725476 13679722 14656845 15633968 16750680 19542460 20519583 23450952 27359444 29313690 33501360 34199305 39084920 41039166 46901904 47879027 54718888 58627380 68398610 78169840 82078332 95758054 102597915 109437776 117254760 136797220 143637081 164156664 191516108 205195830 234509520 239395135 273594440 287274162 328313328 383032216 410391660 478790270 547188880 574548324 718185405 766064432 820783320 957580540 1149096648 1436370810 1641566640 1915161080 2298193296 2872741620 3830322160 5745483240 11490966480