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2019427956 = 2233713205477
BaseRepresentation
bin111100001011110…
…0000011001110100
312012201220120101000
41320113200121310
513113433143311
6532215203300
7101020566030
oct17027403164
95181816330
102019427956
11946a07127
12484376530
132624ba2b0
141522b51c0
15bc44e056
hex785e0674

2019427956 has 96 divisors (see below), whose sum is σ = 6443790080. Its totient is φ = 532593792.

The previous prime is 2019427951. The next prime is 2019427957. The reversal of 2019427956 is 6597249102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2019427951) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92911 + ... + 112566.

Almost surely, 22019427956 is an apocalyptic number.

2019427956 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

2019427956 is an abundant number, since it is smaller than the sum of its proper divisors (4424362124).

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

2019427956 is a wasteful number, since it uses less digits than its factorization.

2019427956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205510 (or 205502 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 2019427956 is about 44938.0457519016. The cubic root of 2019427956 is about 1263.9875260813.

The spelling of 2019427956 in words is "two billion, nineteen million, four hundred twenty-seven thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 27 28 36 39 42 52 54 63 78 84 91 108 117 126 156 182 189 234 252 273 351 364 378 468 546 702 756 819 1092 1404 1638 2457 3276 4914 9828 205477 410954 616431 821908 1232862 1438339 1849293 2465724 2671201 2876678 3698586 4315017 5342402 5547879 5753356 7397172 8013603 8630034 10684804 11095758 12945051 16027206 17260068 18698407 22191516 24040809 25890102 32054412 37396814 38835153 48081618 51780204 56095221 72122427 74793628 77670306 96163236 112190442 144244854 155340612 168285663 224380884 288489708 336571326 504856989 673142652 1009713978 2019427956