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202043451050224 = 2472967213857317
BaseRepresentation
bin101101111100000111101000…
…001000010000100011110000
3222111101011110111021221221221
4231330013220020100203300
5202440234441432101344
61553413251405154424
760362105031541360
oct5574075010204360
9874334414257857
10202043451050224
11594171679462a3
121a7b145ab5ba14
138897800863a54
1437c6d5313a9a0
1518559319e2184
hexb7c1e82108f0

202043451050224 has 120 divisors (see below), whose sum is σ = 469819618057440. Its totient is φ = 82356357017088.

The previous prime is 202043451050213. The next prime is 202043451050263. The reversal of 202043451050224 is 422050154340202.

It is a super-2 number, since 2×2020434510502242 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 202043451050224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7651614 + ... + 21508930.

It is an arithmetic number, because the mean of its divisors is an integer number (3915163483812).

Almost surely, 2202043451050224 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 202043451050224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234909809028720).

202043451050224 is an abundant number, since it is smaller than the sum of its proper divisors (267776167007216).

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

202043451050224 is a wasteful number, since it uses less digits than its factorization.

202043451050224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13857495 (or 13857422 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 34.

The spelling of 202043451050224 in words is "two hundred two trillion, forty-three billion, four hundred fifty-one million, fifty thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 29 56 58 67 112 116 134 203 232 268 406 464 469 536 812 938 1072 1624 1876 1943 3248 3752 3886 4489 7504 7772 8978 13601 15544 17956 27202 31088 31423 35912 54404 62846 71824 108808 125692 130181 217616 251384 260362 502768 520724 911267 1041448 1822534 2082896 3645068 7290136 13857317 14580272 27714634 55429268 97001219 110858536 194002438 221717072 388004876 401862193 776009752 803724386 928440239 1552019504 1607448772 1856880478 2813035351 3214897544 3713760956 5626070702 6429795088 6499081673 7427521912 11252141404 12998163346 14855043824 22504282808 25996326692 26924766931 45008565616 51992653384 53849533862 62205496013 103985306768 107699067724 124410992026 188473368517 215398135448 248821984052 376946737034 430796270896 435438472091 497643968104 753893474068 870876944182 995287936208 1507786948136 1741753888364 1803959384377 3015573896272 3483507776728 3607918768754 6967015553456 7215837537508 12627715690639 14431675075016 25255431381278 28863350150032 50510862762556 101021725525112 202043451050224