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50493118434200 = 2352132337167136651
BaseRepresentation
bin10110111101100010110000…
…11000110100101110011000
320121210002120020111012202222
423132301120120310232120
523104234401304343300
6255220115100443212
713431002355101441
oct1336613030645630
9217702506435688
1050493118434200
11150a8014004322
1257b5aa3249508
132223632c64110
14c67c469002c8
155c8696570785
hex2dec58634b98

50493118434200 has 384 divisors, whose sum is σ = 136301646136320. Its totient is φ = 17247022848000.

The previous prime is 50493118434193. The next prime is 50493118434203. The reversal of 50493118434200 is 243481139405.

50493118434200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 71058512-1.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50493118434203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 369435875 + ... + 369572525.

It is an arithmetic number, because the mean of its divisors is an integer number (354952203480).

Almost surely, 250493118434200 is an apocalyptic number.

50493118434200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 50493118434200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68150823068160).

50493118434200 is an abundant number, since it is smaller than the sum of its proper divisors (85808527702120).

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

50493118434200 is a wasteful number, since it uses less digits than its factorization.

50493118434200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136907 (or 136898 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 44.

The spelling of 50493118434200 in words is "fifty trillion, four hundred ninety-three billion, one hundred eighteen million, four hundred thirty-four thousand, two hundred".