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54812590848 = 2832137173651
BaseRepresentation
bin110011000011000101…
…011100001100000000
312020110222120010011100
4303003011130030000
51344224010401343
641103000014400
73650210222601
oct630305341400
9166428503140
1054812590848
1121278307864
12a758761400
135226b32212
14291d969da8
15165c12c9d3
hexcc315c300

54812590848 has 108 divisors (see below), whose sum is σ = 159192692568. Its totient is φ = 18137395200.

The previous prime is 54812590841. The next prime is 54812590849. The reversal of 54812590848 is 84809521845.

54812590848 is a `hidden beast` number, since 5 + 4 + 8 + 1 + 2 + 590 + 8 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 54812590794 and 54812590803.

It is not an unprimeable number, because it can be changed into a prime (54812590841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 228823 + ... + 402473.

Almost surely, 254812590848 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 54812590848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79596346284).

54812590848 is an abundant number, since it is smaller than the sum of its proper divisors (104380101720).

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

54812590848 is a wasteful number, since it uses less digits than its factorization.

54812590848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173810 (or 173793 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 54.

The spelling of 54812590848 in words is "fifty-four billion, eight hundred twelve million, five hundred ninety thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 137 144 192 256 274 288 384 411 548 576 768 822 1096 1152 1233 1644 2192 2304 2466 3288 4384 4932 6576 8768 9864 13152 17536 19728 26304 35072 39456 52608 78912 105216 157824 173651 315648 347302 520953 694604 1041906 1389208 1562859 2083812 2778416 3125718 4167624 5556832 6251436 8335248 11113664 12502872 16670496 22227328 23790187 25005744 33340992 44454656 47580374 50011488 66681984 71370561 95160748 100022976 133363968 142741122 190321496 200045952 214111683 285482244 380642992 400091904 428223366 570964488 761285984 856446732 1141928976 1522571968 1712893464 2283857952 3045143936 3425786928 4567715904 6090287872 6851573856 9135431808 13703147712 18270863616 27406295424 54812590848