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642275111808 = 2735115335419
BaseRepresentation
bin10010101100010101001…
…01000111001110000000
32021101211020221020200000
421112022211013032000
541010334412034213
61211020200400000
764255114241601
oct11261245071600
92241736836600
10642275111808
11228429613830
12a4588776000
134874917c875
142312ca81da8
1511a9145bc73
hex958a947380

642275111808 has 384 divisors, whose sum is σ = 2130419491200. Its totient is φ = 190951188480.

The previous prime is 642275111749. The next prime is 642275111809. The reversal of 642275111808 is 808111572246.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642275111809) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18115923 + ... + 18151341.

It is an arithmetic number, because the mean of its divisors is an integer number (5547967425).

Almost surely, 2642275111808 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 642275111808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1065209745600).

642275111808 is an abundant number, since it is smaller than the sum of its proper divisors (1488144379392).

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

642275111808 is a wasteful number, since it uses less digits than its factorization.

642275111808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35512 (or 35488 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 642275111808 in words is "six hundred forty-two billion, two hundred seventy-five million, one hundred eleven thousand, eight hundred eight".