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50442400134 = 2337557239579
BaseRepresentation
bin101110111110100110…
…011111000110000110
311211012102021102112000
4232332212133012012
51311301223301014
635101203410130
73434003220030
oct567646370606
9154172242460
1050442400134
111a4354688a5
129939083946
1349ab608459
1426273b0c50
1514a3631509
hexbbe99f186

50442400134 has 64 divisors (see below), whose sum is σ = 128338214400. Its totient is φ = 14386179744.

The previous prime is 50442400133. The next prime is 50442400157. The reversal of 50442400134 is 43100424405.

It is a happy number.

50442400134 is a `hidden beast` number, since 50 + 442 + 40 + 0 + 134 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 50442400098 and 50442400107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50442400133) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90757 + ... + 330335.

It is an arithmetic number, because the mean of its divisors is an integer number (2005284600).

Almost surely, 250442400134 is an apocalyptic number.

50442400134 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 50442400134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64169107200).

50442400134 is an abundant number, since it is smaller than the sum of its proper divisors (77895814266).

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

50442400134 is a wasteful number, since it uses less digits than its factorization.

50442400134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240154 (or 240148 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 50442400134 its reverse (43100424405), we get a palindrome (93542824539).

The spelling of 50442400134 in words is "fifty billion, four hundred forty-two million, four hundred thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 557 1114 1671 3342 3899 5013 7798 10026 11697 15039 23394 30078 35091 70182 105273 210546 239579 479158 718737 1437474 1677053 2156211 3354106 4312422 5031159 6468633 10062318 12937266 15093477 30186954 45280431 90560862 133445503 266891006 400336509 800673018 934118521 1201009527 1868237042 2402019054 2802355563 3603028581 5604711126 7206057162 8407066689 16814133378 25221200067 50442400134