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1028249145220 = 225112916146381
BaseRepresentation
bin11101111011010000110…
…11001100111110000100
310122022002110011200121211
432331220123030332010
5113321323240121340
62104212055421204
7134200654345003
oct16755033147604
93568073150554
101028249145220
11367094921900
12147346684804
1375c6a9b9b9b
1437aa612cc3a
151bb317e35ea
hexef686ccf84

1028249145220 has 72 divisors (see below), whose sum is σ = 2373781224024. Its totient is φ = 373859904000.

The previous prime is 1028249145211. The next prime is 1028249145223. The reversal of 1028249145220 is 225419428201.

It can be written as a sum of positive squares in 4 ways, for example, as 100529580096 + 927719565124 = 317064^2 + 963182^2 .

It is not an unprimeable number, because it can be changed into a prime (1028249145223) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22146430 + ... + 22192810.

It is an arithmetic number, because the mean of its divisors is an integer number (32969183667).

Almost surely, 21028249145220 is an apocalyptic number.

1028249145220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1028249145220 is an abundant number, since it is smaller than the sum of its proper divisors (1345532078804).

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

1028249145220 is a wasteful number, since it uses less digits than its factorization.

1028249145220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55573 (or 55560 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 40.

The spelling of 1028249145220 in words is "one trillion, twenty-eight billion, two hundred forty-nine million, one hundred forty-five thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 605 1210 2420 9161 18322 36644 45805 46381 91610 92762 100771 183220 185524 201542 231905 403084 463810 503855 510191 927620 1007710 1020382 1108481 2015420 2040764 2216962 2550955 4433924 5101910 5542405 5612101 10203820 11084810 11224202 22169620 22448404 28060505 56121010 112242020 424896341 849792682 1699585364 2124481705 4248963410 4673859751 8497926820 9347719502 18695439004 23369298755 46738597510 51412457261 93477195020 102824914522 205649829044 257062286305 514124572610 1028249145220