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53147382948 = 22321117312331093
BaseRepresentation
bin110001011111110101…
…001011010010100100
312002011221011210100200
4301133311023102210
51332321212223243
640225432510500
73561020205222
oct613765132244
9162157153320
1053147382948
11205a3348490
12a372b4b430
13501cb47bba
14280273db12
1515b0d4cad3
hexc5fd4b4a4

53147382948 has 288 divisors, whose sum is σ = 161019436032. Its totient is φ = 14592614400.

The previous prime is 53147382941. The next prime is 53147382949. The reversal of 53147382948 is 84928374135.

It is a happy number.

53147382948 is a `hidden beast` number, since 5 + 3 + 1 + 473 + 82 + 94 + 8 = 666.

It is a super-2 number, since 2×531473829482 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 53147382894 and 53147382903.

It is not an unprimeable number, because it can be changed into a prime (53147382941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 48624690 + ... + 48625782.

It is an arithmetic number, because the mean of its divisors is an integer number (559095264).

Almost surely, 253147382948 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 53147382948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80509718016).

53147382948 is an abundant number, since it is smaller than the sum of its proper divisors (107872053084).

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

53147382948 is a wasteful number, since it uses less digits than its factorization.

53147382948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1395 (or 1390 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The spelling of 53147382948 in words is "fifty-three billion, one hundred forty-seven million, three hundred eighty-two thousand, nine hundred forty-eight".