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500042350080 = 29335721341277
BaseRepresentation
bin1110100011011001101…
…10001011111000000000
31202210200210220022122000
413101230312023320000
531143041320200310
61021414414544000
751061341563100
oct7215466137000
91683623808560
10500042350080
11183080963769
1280ab3208000
13381ccb581b0
141a2b8ac9200
15d0196eb4c0
hex746cd8be00

500042350080 has 1920 divisors, whose sum is σ = 2287619832960. Its totient is φ = 102558597120.

The previous prime is 500042350063. The next prime is 500042350091. The reversal of 500042350080 is 80053240005.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is a congruent number.

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, 1805206902 + ... + 1805207178.

It is an arithmetic number, because the mean of its divisors is an integer number (1191468663).

Almost surely, 2500042350080 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 500042350080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1143809916480).

500042350080 is an abundant number, since it is smaller than the sum of its proper divisors (1787577482880).

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

500042350080 is a wasteful number, since it uses less digits than its factorization.

500042350080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 500042350080 its reverse (80053240005), we get a palindrome (580095590085).

The spelling of 500042350080 in words is "five hundred billion, forty-two million, three hundred fifty thousand, eighty".