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54032072704 = 2202272
BaseRepresentation
bin110010010100100100…
…000000000000000000
312011110120212200112221
4302110210000000000
51341124202311304
640453314500424
73621652016521
oct622444000000
9164416780487
1054032072704
1120a07772a45
12a57b294714
13513121096c
142888032848
151613853054
hexc94900000

54032072704 has 63 divisors (see below), whose sum is σ = 108542244307. Its totient is φ = 26897022976.

The previous prime is 54032072687. The next prime is 54032072707. The reversal of 54032072704 is 40727023045.

The square root of 54032072704 is 232448.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 54032072704.

It is not an unprimeable number, because it can be changed into a prime (54032072707) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 238026639 + ... + 238026865.

Almost surely, 254032072704 is an apocalyptic number.

54032072704 is the 232448-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54032072704

54032072704 is an abundant number, since it is smaller than the sum of its proper divisors (54510171603).

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

54032072704 is an frugal number, since it uses more digits than its factorization.

54032072704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 34.

Adding to 54032072704 its reverse (40727023045), we get a palindrome (94759095749).

The spelling of 54032072704 in words is "fifty-four billion, thirty-two million, seventy-two thousand, seven hundred four".

Divisors: 1 2 4 8 16 32 64 128 227 256 454 512 908 1024 1816 2048 3632 4096 7264 8192 14528 16384 29056 32768 51529 58112 65536 103058 116224 131072 206116 232448 262144 412232 464896 524288 824464 929792 1048576 1648928 1859584 3297856 3719168 6595712 7438336 13191424 14876672 26382848 29753344 52765696 59506688 105531392 119013376 211062784 238026752 422125568 844251136 1688502272 3377004544 6754009088 13508018176 27016036352 54032072704