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11141566956 = 22331329273641
BaseRepresentation
bin10100110000001011…
…01101000111101100
31001202110211020121000
422120011231013230
5140304220120311
65041322240300
7543045520332
oct123005550754
931673736530
1011141566956
1147a8140183
1221ab356090
131087362c90
14779a01b52
15453205056
hex29816d1ec

11141566956 has 96 divisors (see below), whose sum is σ = 32180299200. Its totient is φ = 3309949440.

The previous prime is 11141566951. The next prime is 11141566957. The reversal of 11141566956 is 65966514111.

It is a super-2 number, since 2×111415669562 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11141566951) 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, 96105 + ... + 177536.

It is an arithmetic number, because the mean of its divisors is an integer number (335211450).

Almost surely, 211141566956 is an apocalyptic number.

It is an amenable number.

11141566956 is an abundant number, since it is smaller than the sum of its proper divisors (21038732244).

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

11141566956 is a wasteful number, since it uses less digits than its factorization.

11141566956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273696 (or 273688 counting only the distinct ones).

The product of its digits is 194400, while the sum is 45.

The spelling of 11141566956 in words is "eleven billion, one hundred forty-one million, five hundred sixty-six thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 29 36 39 52 54 58 78 87 108 116 117 156 174 234 261 348 351 377 468 522 702 754 783 1044 1131 1404 1508 1566 2262 3132 3393 4524 6786 10179 13572 20358 40716 273641 547282 820923 1094564 1641846 2462769 3283692 3557333 4925538 7114666 7388307 7935589 9851076 10671999 14229332 14776614 15871178 21343998 23806767 29553228 31742356 32015997 42687996 47613534 64031994 71420301 95227068 96047991 103162657 128063988 142840602 192095982 206325314 214260903 285681204 309487971 384191964 412650628 428521806 618975942 857043612 928463913 1237951884 1856927826 2785391739 3713855652 5570783478 11141566956