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1268196345 = 35513174723
BaseRepresentation
bin100101110010111…
…0010001111111001
310021101100001100000
41023211302033321
510044124240340
6325501503213
743266330303
oct11345621771
93241301300
101268196345
115a0955759
122b4871b09
13172981050
14c0602973
157650bd30
hex4b9723f9

1268196345 has 96 divisors (see below), whose sum is σ = 2599938432. Its totient is φ = 587492352.

The previous prime is 1268196341. The next prime is 1268196353. The reversal of 1268196345 is 5436918621.

1268196345 is a `hidden beast` number, since 1 + 2 + 6 + 8 + 1 + 9 + 634 + 5 = 666.

It is not a de Polignac number, because 1268196345 - 22 = 1268196341 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 1268196345.

It is not an unprimeable number, because it can be changed into a prime (1268196341) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 266154 + ... + 270876.

It is an arithmetic number, because the mean of its divisors is an integer number (27082692).

Almost surely, 21268196345 is an apocalyptic number.

1268196345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1268196345 is an abundant number, since it is smaller than the sum of its proper divisors (1331742087).

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

1268196345 is a wasteful number, since it uses less digits than its factorization.

1268196345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4773 (or 4761 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 1268196345 is about 35611.7444812803. The cubic root of 1268196345 is about 1082.4192295909.

The spelling of 1268196345 in words is "one billion, two hundred sixty-eight million, one hundred ninety-six thousand, three hundred forty-five".

Divisors: 1 3 5 9 13 15 17 27 39 45 51 65 81 85 117 135 153 195 221 243 255 351 405 459 585 663 765 1053 1105 1215 1377 1755 1989 2295 3159 3315 4131 4723 5265 5967 6885 9945 14169 15795 17901 20655 23615 29835 42507 53703 61399 70845 80291 89505 127521 184197 212535 240873 268515 306995 382563 401455 552591 637605 722619 920985 1043783 1147689 1204365 1657773 1912815 2167857 2762955 3131349 3613095 4973319 5218915 5738445 6503571 8288865 9394047 10839285 14919957 15656745 19510713 24866595 28182141 32517855 46970235 74599785 84546423 97553565 140910705 253639269 422732115 1268196345