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644434362433416 = 233232514651209383
BaseRepresentation
bin1001001010000111000001000…
…1010000001111111110001000
310010111202022201202001201221210
42102201300101100033332020
51133431403033240332131
610202333020433133120
7252511563154153542
oct22241602120177610
93114668652051853
10644434362433416
11177378095251885
126033b8440ba1a0
1321877b90612189
14b51cb0a7d0692
154e7833b380146
hex24a1c1140ff88

644434362433416 has 64 divisors (see below), whose sum is σ = 1687830861265920. Its totient is φ = 204653212808000.

The previous prime is 644434362433321. The next prime is 644434362433417. The reversal of 644434362433416 is 614334263434446.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (644434362433417) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2325466140 + ... + 2325743243.

It is an arithmetic number, because the mean of its divisors is an integer number (26372357207280).

Almost surely, 2644434362433416 is an apocalyptic number.

It is an amenable number.

644434362433416 is an abundant number, since it is smaller than the sum of its proper divisors (1043396498832504).

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

644434362433416 is a wasteful number, since it uses less digits than its factorization.

644434362433416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4651209666 (or 4651209662 counting only the distinct ones).

The product of its digits is 143327232, while the sum is 57.

The spelling of 644434362433416 in words is "six hundred forty-four trillion, four hundred thirty-four billion, three hundred sixty-two million, four hundred thirty-three thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 251 276 502 552 753 1004 1506 2008 3012 5773 6024 11546 17319 23092 34638 46184 69276 138552 4651209383 9302418766 13953628149 18604837532 27907256298 37209675064 55814512596 106977815809 111629025192 213955631618 320933447427 427911263236 641866894854 855822526472 1167453555133 1283733789708 2334907110266 2567467579416 3502360665399 4669814220532 7004721330798 9339628441064 14009442661596 26851431768059 28018885323192 53702863536118 80554295304177 107405727072236 161108590608354 214811454144472 322217181216708 644434362433416