Search a number
-
+
53717946240 = 2735723173777
BaseRepresentation
bin110010000001110101…
…101100111110000000
312010122200210102001110
4302001311230332000
51340003243234430
640402214003320
73611116003110
oct620165547600
9163580712043
1053717946240
11208664200a2
12a4b2046540
1350b110800a
142858423040
1515e5ea37b0
hexc81d6cf80

53717946240 has 256 divisors, whose sum is σ = 204196101120. Its totient is φ = 11744477184.

The previous prime is 53717946229. The next prime is 53717946257. The reversal of 53717946240 is 4264971735.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 53717946240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 222232 + ... + 396008.

It is an arithmetic number, because the mean of its divisors is an integer number (797641020).

Almost surely, 253717946240 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 53717946240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102098050560).

53717946240 is an abundant number, since it is smaller than the sum of its proper divisors (150478154880).

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

53717946240 is a wasteful number, since it uses less digits than its factorization.

53717946240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173829 (or 173817 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 48.

The spelling of 53717946240 in words is "fifty-three billion, seven hundred seventeen million, nine hundred forty-six thousand, two hundred forty".