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54363610368 = 2832101233617
BaseRepresentation
bin110010101000010100…
…101101110100000000
312012022200201112201200
4302220110231310000
51342314041012433
640550240501200
73633116030604
oct625024556400
9165280645650
1054363610368
1121067928111
12a65231a800
135184b015b2
1428ba095504
1516329e1613
hexca852dd00

54363610368 has 108 divisors (see below), whose sum is σ = 158296286148. Its totient is φ = 17941708800.

The previous prime is 54363610351. The next prime is 54363610373. The reversal of 54363610368 is 86301636345.

54363610368 is a `hidden beast` number, since 5 + 4 + 3 + 636 + 1 + 0 + 3 + 6 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 41596418304 + 12767192064 = 203952^2 + 112992^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 115896 + ... + 349512.

Almost surely, 254363610368 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 54363610368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79148143074).

54363610368 is an abundant number, since it is smaller than the sum of its proper divisors (103932675780).

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

54363610368 is a wasteful number, since it uses less digits than its factorization.

54363610368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233740 (or 233723 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 54363610368 in words is "fifty-four billion, three hundred sixty-three million, six hundred ten thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 101 128 144 192 202 256 288 303 384 404 576 606 768 808 909 1152 1212 1616 1818 2304 2424 3232 3636 4848 6464 7272 9696 12928 14544 19392 25856 29088 38784 58176 77568 116352 232704 233617 467234 700851 934468 1401702 1868936 2102553 2803404 3737872 4205106 5606808 7475744 8410212 11213616 14951488 16820424 22427232 23595317 29902976 33640848 44854464 47190634 59805952 67281696 70785951 89708928 94381268 134563392 141571902 179417856 188762536 212357853 269126784 283143804 377525072 424715706 538253568 566287608 755050144 849431412 1132575216 1510100288 1698862824 2265150432 3020200576 3397725648 4530300864 6040401152 6795451296 9060601728 13590902592 18121203456 27181805184 54363610368