Search a number
-
+
50143073863680 = 2113357191363627
BaseRepresentation
bin10110110011010110110000…
…00110110000100000000000
320120112122001000212121011000
423121223120012300200000
523033021003402114210
6254351224330452000
713363501054251120
oct1331533006604000
9216478030777130
1050143073863680
1114a82615a72536
12575a091b94000
1321c961908b805
14c54d1b188c80
155be50a665ac0
hex2d9ad81b0800

50143073863680 has 768 divisors, whose sum is σ = 214427775744000. Its totient is φ = 10858041114624.

The previous prime is 50143073863669. The next prime is 50143073863739. The reversal of 50143073863680 is 8636837034105.

50143073863680 is a `hidden beast` number, since 5 + 0 + 1 + 430 + 73 + 8 + 63 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36090027 + ... + 37453653.

It is an arithmetic number, because the mean of its divisors is an integer number (279202833000).

Almost surely, 250143073863680 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 50143073863680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107213887872000).

50143073863680 is an abundant number, since it is smaller than the sum of its proper divisors (164284701880320).

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

50143073863680 is a wasteful number, since it uses less digits than its factorization.

50143073863680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1363689 (or 1363663 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

It can be divided in two parts, 501430 and 73863680, that added together give a triangular number (74365110 = T12195).

The spelling of 50143073863680 in words is "fifty trillion, one hundred forty-three billion, seventy-three million, eight hundred sixty-three thousand, six hundred eighty".