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45071371751168 = 287371634170359
BaseRepresentation
bin10100011111101111111110…
…00110100100111100000000
312220120210002101120202110002
422033313333012210330000
521401422132132014133
6235505300301055132
712331204415505110
oct1217677706447400
9186523071522402
1045071371751168
11133a7730388654
12507b1732574a8
131c1c29b043c49
14b1b674b15040
155326231b3ce8
hex28fdff1a4f00

45071371751168 has 144 divisors (see below), whose sum is σ = 106245826229760. Its totient is φ = 18678933393408.

The previous prime is 45071371751141. The next prime is 45071371751177. The reversal of 45071371751168 is 86115717317054.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8722373 + ... + 12892731.

Almost surely, 245071371751168 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 45071371751168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53122913114880).

45071371751168 is an abundant number, since it is smaller than the sum of its proper divisors (61174454478592).

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

45071371751168 is a wasteful number, since it uses less digits than its factorization.

45071371751168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4170582 (or 4170568 counting only the distinct ones).

The product of its (nonzero) digits is 4939200, while the sum is 56.

The spelling of 45071371751168 in words is "forty-five trillion, seventy-one billion, three hundred seventy-one million, seven hundred fifty-one thousand, one hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 37 56 64 74 112 128 148 163 224 256 259 296 326 448 518 592 652 896 1036 1141 1184 1304 1792 2072 2282 2368 2608 4144 4564 4736 5216 6031 8288 9128 9472 10432 12062 16576 18256 20864 24124 33152 36512 41728 42217 48248 66304 73024 84434 96496 146048 168868 192992 292096 337736 385984 675472 771968 1350944 1543936 2701888 4170359 5403776 8340718 10807552 16681436 29192513 33362872 58385026 66725744 116770052 133451488 154303283 233540104 266902976 308606566 467080208 533805952 617213132 679768517 934160416 1067611904 1080122981 1234426264 1359537034 1868320832 2160245962 2468852528 2719074068 3736641664 4320491924 4758379619 4937705056 5438148136 7473283328 8640983848 9516759238 9875410112 10876296272 17281967696 19033518476 19750820224 21752592544 25151435129 34563935392 38067036952 39501640448 43505185088 50302870258 69127870784 76134073904 87010370176 100605740516 138255741568 152268147808 174020740352 176060045903 201211481032 276511483136 304536295616 352120091806 402422962064 609072591232 704240183612 804845924128 1218145182464 1408480367224 1609691848256 2816960734448 3219383696512 5633921468896 6438767393024 11267842937792 22535685875584 45071371751168