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45357722848 = 25171273112111
BaseRepresentation
bin101010001111100001…
…111110110011100000
311100002001120001120001
4222033201332303200
51220343034112343
632500445225344
73164002166014
oct521741766340
9140061501501
1045357722848
1118266285569
12895a262254
13437b06c579
1422a3d8a544
1512a705044d
hexa8f87ece0

45357722848 has 96 divisors (see below), whose sum is σ = 95647039488. Its totient is φ = 21098649600.

The previous prime is 45357722789. The next prime is 45357722869. The reversal of 45357722848 is 84822775354.

It is a super-2 number, since 2×453577228482 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 21485313 + ... + 21487423.

It is an arithmetic number, because the mean of its divisors is an integer number (996323328).

Almost surely, 245357722848 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 45357722848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47823519744).

45357722848 is an abundant number, since it is smaller than the sum of its proper divisors (50289316640).

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

45357722848 is a wasteful number, since it uses less digits than its factorization.

45357722848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2576 (or 2568 counting only the distinct ones).

The product of its digits is 15052800, while the sum is 55.

The spelling of 45357722848 in words is "forty-five billion, three hundred fifty-seven million, seven hundred twenty-two thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 16 17 32 34 68 127 136 254 272 311 508 544 622 1016 1244 2032 2111 2159 2488 4064 4222 4318 4976 5287 8444 8636 9952 10574 16888 17272 21148 33776 34544 35887 39497 42296 67552 69088 71774 78994 84592 143548 157988 169184 268097 287096 315976 536194 574192 631952 656521 671449 1072388 1148384 1263904 1313042 1342898 2144776 2626084 2685796 4289552 4557649 5252168 5371592 8579104 9115298 10504336 10743184 11160857 18230596 21008672 21486368 22321714 36461192 44643428 72922384 83378167 89286856 145844768 166756334 178573712 333512668 357147424 667025336 1334050672 1417428839 2668101344 2834857678 5669715356 11339430712 22678861424 45357722848