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11066700720 = 2435732412621
BaseRepresentation
bin10100100111010000…
…00111001110110000
31001120020221122102110
422103220013032300
5140131033410340
65030045445320
7541146255405
oct122350071660
931506848373
1011066700720
114769956059
12218a270840
1310749ac52a
1476dab42ac
1544b867680
hex293a073b0

11066700720 has 160 divisors (see below), whose sum is σ = 34934353344. Its totient is φ = 2897510400.

The previous prime is 11066700713. The next prime is 11066700721. The reversal of 11066700720 is 2700766011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (11066700721) 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, 4221010 + ... + 4223630.

Almost surely, 211066700720 is an apocalyptic number.

11066700720 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 11066700720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17467176672).

11066700720 is an abundant number, since it is smaller than the sum of its proper divisors (23867652624).

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

11066700720 is a wasteful number, since it uses less digits than its factorization.

11066700720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2951 (or 2945 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 30.

The spelling of 11066700720 in words is "eleven billion, sixty-six million, seven hundred thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 73 80 120 146 219 240 241 292 365 438 482 584 723 730 876 964 1095 1168 1205 1446 1460 1752 1928 2190 2410 2621 2892 2920 3504 3615 3856 4380 4820 5242 5784 5840 7230 7863 8760 9640 10484 11568 13105 14460 15726 17520 17593 19280 20968 26210 28920 31452 35186 39315 41936 52420 52779 57840 62904 70372 78630 87965 104840 105558 125808 140744 157260 175930 191333 209680 211116 263895 281488 314520 351860 382666 422232 527790 573999 629040 631661 703720 765332 844464 956665 1055580 1147998 1263322 1407440 1530664 1894983 1913330 2111160 2295996 2526644 2869995 3061328 3158305 3789966 3826660 4222320 4591992 5053288 5739990 6316610 7579932 7653320 9183984 9474915 10106576 11479980 12633220 15159864 15306640 18949830 22959960 25266440 30319728 37899660 45919920 46111253 50532880 75799320 92222506 138333759 151598640 184445012 230556265 276667518 368890024 461112530 553335036 691668795 737780048 922225060 1106670072 1383337590 1844450120 2213340144 2766675180 3688900240 5533350360 11066700720