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609100103040 = 2735111319591979
BaseRepresentation
bin10001101110100010011…
…00011111110110000000
32011020012020022012001120
420313101030133312000
534434414111244130
61143452225032240
762002032310452
oct10672114376600
92136166265046
10609100103040
11215355146710
129a06a485680
1345590089170
14216a2ab62d2
1510c9dc1e910
hex8dd131fd80

609100103040 has 1024 divisors, whose sum is σ = 2442908160000. Its totient is φ = 126875566080.

The previous prime is 609100102987. The next prime is 609100103063. The reversal of 609100103040 is 40301001906.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 609100103040.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 307780771 + ... + 307782749.

It is an arithmetic number, because the mean of its divisors is an integer number (2385652500).

Almost surely, 2609100103040 is an apocalyptic number.

609100103040 is a gapful number since it is divisible by the number (60) 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 609100103040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1221454080000).

609100103040 is an abundant number, since it is smaller than the sum of its proper divisors (1833808056960).

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

609100103040 is a wasteful number, since it uses less digits than its factorization.

609100103040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2103 (or 2091 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 609100103040 its reverse (40301001906), we get a palindrome (649401104946).

The spelling of 609100103040 in words is "six hundred nine billion, one hundred million, one hundred three thousand, forty".