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2202057914368 = 21113247733391
BaseRepresentation
bin100000000010110100111…
…000010011100000000000
321210111220012110102021011
4200002310320103200000
5242034303311224433
64403340023210304
7315044022303304
oct40026470234000
97714805412234
102202057914368
11779984315564
122b69348a6994
1312c865027450
1478819dc3d04
153c431e543cd
hex200b4e13800

2202057914368 has 96 divisors (see below), whose sum is σ = 4743792406080. Its totient is φ = 1015893688320.

The previous prime is 2202057914359. The next prime is 2202057914377. The reversal of 2202057914368 is 8634197502022.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2202057914359) and next prime (2202057914377).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65930953 + ... + 65964343.

It is an arithmetic number, because the mean of its divisors is an integer number (49414504230).

It is a 1-persistent number, because it is pandigital, but 2⋅2202057914368 = 4404115828736 is not.

Almost surely, 22202057914368 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 2202057914368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2371896203040).

2202057914368 is an abundant number, since it is smaller than the sum of its proper divisors (2541734491712).

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

2202057914368 is a wasteful number, since it uses less digits than its factorization.

2202057914368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35903 (or 35883 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 49.

The spelling of 2202057914368 in words is "two trillion, two hundred two billion, fifty-seven million, nine hundred fourteen thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 512 832 1024 1664 2048 2477 3328 4954 6656 9908 13312 19816 26624 32201 33391 39632 64402 66782 79264 128804 133564 158528 257608 267128 317056 434083 515216 534256 634112 868166 1030432 1068512 1268224 1736332 2060864 2137024 2536448 3472664 4121728 4274048 5072896 6945328 8243456 8548096 13890656 16486912 17096192 27781312 32973824 34192384 55562624 65947648 68384768 82709507 111125248 165419014 222250496 330838028 444500992 661676056 889001984 1075223591 1323352112 2150447182 2646704224 4300894364 5293408448 8601788728 10586816896 17203577456 21173633792 34407154912 42347267584 68814309824 84694535168 137628619648 169389070336 275257239296 550514478592 1101028957184 2202057914368