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606199241648 = 247112137148463
BaseRepresentation
bin10001101001001000100…
…10100101101110110000
32010221201001211011022202
420310210102211232300
534412444001213043
61142252321322332
761540116351560
oct10644422455660
92127631734282
10606199241648
112140a6739600
129959aa963a8
134521a0a6330
14214a9718da0
1510b7e2101b8
hex8d244a5bb0

606199241648 has 240 divisors, whose sum is σ = 1611324868608. Its totient is φ = 214938662400.

The previous prime is 606199241639. The next prime is 606199241663. The reversal of 606199241648 is 846142991606.

It is a super-2 number, since 2×6061992416482 (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (56) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a junction number, because it is equal to n+sod(n) for n = 606199241593 and 606199241602.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12484265 + ... + 12532727.

Almost surely, 2606199241648 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 606199241648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (805662434304).

606199241648 is an abundant number, since it is smaller than the sum of its proper divisors (1005125626960).

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

606199241648 is a wasteful number, since it uses less digits than its factorization.

606199241648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48584 (or 48567 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 56.

The spelling of 606199241648 in words is "six hundred six billion, one hundred ninety-nine million, two hundred forty-one thousand, six hundred forty-eight".