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607738116096 = 21132236171331
BaseRepresentation
bin10001101100000000000…
…00111011100000000000
32011002200022111002012200
420312000000323200000
534424121424203341
61143105132553200
761623213516156
oct10660000734000
92132608432180
10607738116096
11214816360771
129994a322800
1345403b59a27
14215b3c5b3d6
1510c1e387db6
hex8d8003b800

607738116096 has 576 divisors, whose sum is σ = 1893523806720. Its totient is φ = 187342848000.

The previous prime is 607738116053. The next prime is 607738116107. The reversal of 607738116096 is 690611837706.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1836066651 + ... + 1836066981.

It is an arithmetic number, because the mean of its divisors is an integer number (3287367720).

Almost surely, 2607738116096 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 607738116096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (946761903360).

607738116096 is an abundant number, since it is smaller than the sum of its proper divisors (1285785690624).

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

607738116096 is a wasteful number, since it uses less digits than its factorization.

607738116096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 607738116096 in words is "six hundred seven billion, seven hundred thirty-eight million, one hundred sixteen thousand, ninety-six".