Search a number
-
+
50231670128640 = 21432571113292347
BaseRepresentation
bin10110110101111011110001…
…10110101100000000000000
320120212002201110101011210200
423122331320312230000000
523040443430023104030
6254500035524125200
713403055420134520
oct1332757066540000
9216762643334720
1050231670128640
111500714a283720
125773298836800
132204a98125230
14c59323881680
155c1993660d60
hex2daf78dac000

50231670128640 has 2880 divisors, whose sum is σ = 241963523343360. Its totient is φ = 9298646138880.

The previous prime is 50231670128603. The next prime is 50231670128657. The reversal of 50231670128640 is 4682107613205.

50231670128640 is a `hidden beast` number, since 50 + 2 + 316 + 7 + 0 + 1 + 286 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 21402499947 + ... + 21402502293.

It is an arithmetic number, because the mean of its divisors is an integer number (84015112272).

Almost surely, 250231670128640 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 50231670128640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120981761671680).

50231670128640 is an abundant number, since it is smaller than the sum of its proper divisors (191731853214720).

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

50231670128640 is a wasteful number, since it uses less digits than its factorization.

50231670128640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2446 (or 2417 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 50231670128640 in words is "fifty trillion, two hundred thirty-one billion, six hundred seventy million, one hundred twenty-eight thousand, six hundred forty".