Search a number
-
+
53118305280 = 210335384247
BaseRepresentation
bin110001011110000110…
…010000010000000000
312002002220110111022000
4301132012100100000
51332241241232110
640222513344000
73560215100535
oct613606202000
9162086414260
1053118305280
1120588997a57
12a365268000
135016b06991
1427dc930d8c
1515ad5071c0
hexc5e190400

53118305280 has 176 divisors, whose sum is σ = 188773357440. Its totient is φ = 14164844544.

The previous prime is 53118305267. The next prime is 53118305293. The reversal of 53118305280 is 8250381135.

53118305280 is a `hidden beast` number, since 53 + 1 + 1 + 83 + 0 + 528 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (53118305267) and next prime (53118305293).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53884 + ... + 330363.

Almost surely, 253118305280 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 53118305280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94386678720).

53118305280 is an abundant number, since it is smaller than the sum of its proper divisors (135655052160).

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

53118305280 is a wasteful number, since it uses less digits than its factorization.

53118305280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384281 (or 384257 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 53118305280 in words is "fifty-three billion, one hundred eighteen million, three hundred five thousand, two hundred eighty".