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6434453722356 = 22341129202730713
BaseRepresentation
bin101110110100010001101…
…0101000001010011110100
3211210010110010212100210000
41131220203111001103310
51320410230123103411
621403540334031300
71232605522136262
oct135504325012364
924703403770700
106434453722356
112060922420360
1287b059648530
133789c69859aa
14183601adb432
15b25954a6956
hex5da235414f4

6434453722356 has 240 divisors, whose sum is σ = 18992854520640. Its totient is φ = 1881608762880.

The previous prime is 6434453722343. The next prime is 6434453722373. The reversal of 6434453722356 is 6532273544346.

6434453722356 is a `hidden beast` number, since 6 + 4 + 34 + 4 + 5 + 372 + 235 + 6 = 666.

It is a Smith number, since the sum of its digits (54) 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 (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 209487256 + ... + 209517968.

It is an arithmetic number, because the mean of its divisors is an integer number (79136893836).

Almost surely, 26434453722356 is an apocalyptic number.

6434453722356 is a gapful number since it is divisible by the number (66) 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 6434453722356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9496427260320).

6434453722356 is an abundant number, since it is smaller than the sum of its proper divisors (12558400798284).

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

6434453722356 is a wasteful number, since it uses less digits than its factorization.

6434453722356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32796 (or 32785 counting only the distinct ones).

The product of its digits is 43545600, while the sum is 54.

The spelling of 6434453722356 in words is "six trillion, four hundred thirty-four billion, four hundred fifty-three million, seven hundred twenty-two thousand, three hundred fifty-six".