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231044436864 = 2732347577981
BaseRepresentation
bin1101011100101101010…
…0100101001110000000
3211002100212212110220100
43113023110211032000
512241134333434424
6254050152042400
722456332211203
oct3271324451600
9732325773810
10231044436864
1189a9261a09a
1238940393400
1318a30bac647
14b27b12393a
156023b0adc9
hex35cb525380

231044436864 has 96 divisors (see below), whose sum is σ = 666771594840. Its totient is φ = 76792734720.

The previous prime is 231044436853. The next prime is 231044436871. The reversal of 231044436864 is 468634440132.

231044436864 is a `hidden beast` number, since 23 + 104 + 443 + 6 + 86 + 4 = 666.

231044436864 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 110754 + ... + 688734.

Almost surely, 2231044436864 is an apocalyptic number.

231044436864 is a gapful number since it is divisible by the number (24) 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 231044436864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333385797420).

231044436864 is an abundant number, since it is smaller than the sum of its proper divisors (435727157976).

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

231044436864 is a wasteful number, since it uses less digits than its factorization.

231044436864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578348 (or 578333 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 45.

Adding to 231044436864 its reverse (468634440132), we get a palindrome (699678876996).

The spelling of 231044436864 in words is "two hundred thirty-one billion, forty-four million, four hundred thirty-six thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 347 384 576 694 1041 1152 1388 2082 2776 3123 4164 5552 6246 8328 11104 12492 16656 22208 24984 33312 44416 49968 66624 99936 133248 199872 399744 577981 1155962 1733943 2311924 3467886 4623848 5201829 6935772 9247696 10403658 13871544 18495392 20807316 27743088 36990784 41614632 55486176 73981568 83229264 110972352 166458528 200559407 221944704 332917056 401118814 601678221 665834112 802237628 1203356442 1604475256 1805034663 2406712884 3208950512 3610069326 4813425768 6417901024 7220138652 9626851536 12835802048 14440277304 19253703072 25671604096 28880554608 38507406144 57761109216 77014812288 115522218432 231044436864