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95226553744 = 247210321072
BaseRepresentation
bin101100010101111110…
…0011110010110010000
3100002210111120010222221
41120223330132112100
53030010444204434
6111425123310424
76610542231400
oct1305374362620
9302714503887
1095226553744
11374269a82a3
121655721b414
138c978a462a
1448750d4800
1527251352b4
hex162bf1e590

95226553744 has 135 divisors (see below), whose sum is σ = 218772519147. Its totient is φ = 40037441472.

The previous prime is 95226553727. The next prime is 95226553759. The reversal of 95226553744 is 44735562259.

The square root of 95226553744 is 308588.

It is a perfect power (a square), and thus also a powerful number.

95226553744 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 95226553691 and 95226553700.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 889967739 + ... + 889967845.

Almost surely, 295226553744 is an apocalyptic number.

95226553744 is the 308588-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 95226553744

95226553744 is an abundant number, since it is smaller than the sum of its proper divisors (123545965403).

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

95226553744 is a wasteful number, since it uses less digits than its factorization.

95226553744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 219 counting only the distinct ones).

The product of its digits is 9072000, while the sum is 52.

It can be divided in two parts, 952265 and 53744, that added together give a square (1006009 = 10032).

The spelling of 95226553744 in words is "ninety-five billion, two hundred twenty-six million, five hundred fifty-three thousand, seven hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 103 107 112 196 206 214 392 412 428 721 749 784 824 856 1442 1498 1648 1712 2884 2996 5047 5243 5768 5992 10094 10486 10609 11021 11449 11536 11984 20188 20972 21218 22042 22898 40376 41944 42436 44084 45796 74263 77147 80143 80752 83888 84872 88168 91592 148526 154294 160286 169744 176336 183184 297052 308588 320572 519841 540029 561001 594104 617176 641144 1039682 1080058 1122002 1135163 1179247 1188208 1234352 1282288 2079364 2160116 2244004 2270326 2358494 4158728 4320232 4488008 4540652 4716988 7946141 8254729 8317456 8640464 8976016 9081304 9433976 15892282 16509458 18162608 18867952 31784564 33018916 55622987 57783103 63569128 66037832 111245974 115566206 121462441 127138256 132075664 222491948 231132412 242924882 444983896 462264824 485849764 850237087 889967792 924529648 971699528 1700474174 1943399056 3400948348 5951659609 6801896696 11903319218 13603793392 23806638436 47613276872 95226553744