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2136194775 = 355211132459
BaseRepresentation
bin111111101010011…
…1011111011010111
312111212121221100000
41333110323323113
513333331213100
6551550022343
7103636233051
oct17724737327
95455557300
102136194775
119a690a830
124b74a79b3
132807516a0
141639cc8d1
15c7816900
hex7f53bed7

2136194775 has 144 divisors (see below), whose sum is σ = 4663451520. Its totient is φ = 955670400.

The previous prime is 2136194659. The next prime is 2136194843. The reversal of 2136194775 is 5774916312.

2136194775 is a `hidden beast` number, since 21 + 3 + 619 + 4 + 7 + 7 + 5 = 666.

It is not a de Polignac number, because 2136194775 - 27 = 2136194647 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 2136194775.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 867496 + ... + 869954.

It is an arithmetic number, because the mean of its divisors is an integer number (32385080).

Almost surely, 22136194775 is an apocalyptic number.

2136194775 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2136194775 is an abundant number, since it is smaller than the sum of its proper divisors (2527256745).

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

2136194775 is a wasteful number, since it uses less digits than its factorization.

2136194775 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2508 (or 2491 counting only the distinct ones).

The product of its digits is 317520, while the sum is 45.

The square root of 2136194775 is about 46218.9871697769. The cubic root of 2136194775 is about 1287.8944830728.

The spelling of 2136194775 in words is "two billion, one hundred thirty-six million, one hundred ninety-four thousand, seven hundred seventy-five".

Divisors: 1 3 5 9 11 13 15 25 27 33 39 45 55 65 75 81 99 117 135 143 165 195 225 243 275 297 325 351 405 429 495 585 675 715 825 891 975 1053 1215 1287 1485 1755 2025 2145 2459 2475 2673 2925 3159 3575 3861 4455 5265 6075 6435 7377 7425 8775 10725 11583 12295 13365 15795 19305 22131 22275 26325 27049 31967 32175 34749 36885 57915 61475 66393 66825 78975 81147 95901 96525 110655 135245 159835 173745 184425 199179 243441 287703 289575 331965 351637 405735 479505 553275 597537 676225 730323 799175 863109 868725 995895 1054911 1217205 1438515 1659825 1758185 2028675 2190969 2397525 2589327 2987685 3164733 3651615 4315545 4979475 5274555 6086025 6572907 7192575 7767981 8790925 9494199 10954845 12946635 14938425 15823665 18258075 21577725 26372775 28482597 32864535 38839905 47470995 54774225 64733175 79118325 85447791 142412985 164322675 194199525 237354975 427238955 712064925 2136194775