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11630466262304 = 257318732658193
BaseRepresentation
bin1010100100111110110111…
…0011110110010100100000
31112011212021012011012210222
42221033231303312110200
53011023143330343204
640422543515342212
72310162540040451
oct251175563662440
945155235135728
1011630466262304
1137844a8aaa28a
12137a08b751968
13664995c183b6
142c2cbbb57128
15152806052abe
hexa93edcf6520

11630466262304 has 48 divisors (see below), whose sum is σ = 23223545802072. Its totient is φ = 5732508008448.

The previous prime is 11630466262249. The next prime is 11630466262307. The reversal of 11630466262304 is 40326266403611.

It can be written as a sum of positive squares in 4 ways, for example, as 5040258482704 + 6590207779600 = 2245052^2 + 2567140^2 .

It is a super-2 number, since 2×116304662623042 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11630466262307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3046232 + ... + 5704424.

Almost surely, 211630466262304 is an apocalyptic number.

It is an amenable number.

11630466262304 is a deficient number, since it is larger than the sum of its proper divisors (11593079539768).

11630466262304 is a wasteful number, since it uses less digits than its factorization.

11630466262304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2660149 (or 2660141 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 44.

The spelling of 11630466262304 in words is "eleven trillion, six hundred thirty billion, four hundred sixty-six million, two hundred sixty-two thousand, three hundred four".

Divisors: 1 2 4 8 16 32 73 146 292 584 1168 1873 2336 3746 7492 14984 29968 59936 136729 273458 546916 1093832 2187664 2658193 4375328 5316386 10632772 21265544 42531088 85062176 194048089 388096178 776192356 1552384712 3104769424 4978795489 6209538848 9957590978 19915181956 39830363912 79660727824 159321455648 363452070697 726904141394 1453808282788 2907616565576 5815233131152 11630466262304