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42717060000 = 253254435519
BaseRepresentation
bin100111110010001000…
…101001101110100000
311002021000200111010100
4213302020221232200
51144441031410000
631342434502400
73041366006346
oct476210515640
9132230614110
1042717060000
111713073747a
128341a34a00
134049c60184
1420d33a1996
1511a02dba00
hex9f2229ba0

42717060000 has 360 divisors, whose sum is σ = 155355520320. Its totient is φ = 11124288000.

The previous prime is 42717059989. The next prime is 42717060047. The reversal of 42717060000 is 6071724.

42717060000 is a `hidden beast` number, since 42 + 7 + 17 + 0 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 7737241 + ... + 7742759.

It is an arithmetic number, because the mean of its divisors is an integer number (431543112).

Almost surely, 242717060000 is an apocalyptic number.

42717060000 is a gapful number since it is divisible by the number (40) 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 42717060000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77677760160).

42717060000 is an abundant number, since it is smaller than the sum of its proper divisors (112638460320).

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

42717060000 is a wasteful number, since it uses less digits than its factorization.

42717060000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5598 (or 5572 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The spelling of 42717060000 in words is "forty-two billion, seven hundred seventeen million, sixty thousand".