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11700486144 = 2143279349
BaseRepresentation
bin10101110010110011…
…10100000000000000
31010012102112021120200
422321121310000000
5142430311024034
65213010005200
7562643330334
oct127131640000
933172467520
1011700486144
114a6468a466
122326576800
1311460a70a9
147cdd337c4
1548730aa99
hex2b9674000

11700486144 has 90 divisors (see below), whose sum is σ = 33800798850. Its totient is φ = 3900112896.

The previous prime is 11700486047. The next prime is 11700486169. The reversal of 11700486144 is 44168400711.

11700486144 is a `hidden beast` number, since 1 + 170 + 0 + 486 + 1 + 4 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6816153600 + 4884332544 = 82560^2 + 69888^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11700486099 and 11700486108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 107782 + ... + 187130.

Almost surely, 211700486144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11700486144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16900399425).

11700486144 is an abundant number, since it is smaller than the sum of its proper divisors (22100312706).

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

11700486144 is an frugal number, since it uses more digits than its factorization.

11700486144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79383 (or 79354 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

Adding to 11700486144 its reverse (44168400711), we get a palindrome (55868886855).

The spelling of 11700486144 in words is "eleven billion, seven hundred million, four hundred eighty-six thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 3072 4096 4608 6144 8192 9216 12288 16384 18432 24576 36864 49152 73728 79349 147456 158698 238047 317396 476094 634792 714141 952188 1269584 1428282 1904376 2539168 2856564 3808752 5078336 5713128 7617504 10156672 11426256 15235008 20313344 22852512 30470016 40626688 45705024 60940032 81253376 91410048 121880064 162506752 182820096 243760128 325013504 365640192 487520256 650027008 731280384 975040512 1300054016 1462560768 1950081024 2925121536 3900162048 5850243072 11700486144