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64906190190 = 2345479531789
BaseRepresentation
bin111100011100101101…
…011101110101101110
320012112102110002110000
4330130231131311232
52030411441041230
645452324525130
74455302341122
oct743455356556
9205472402400
1064906190190
11255879413a6
12106b4b507a6
1361750319ca
1431da2d5582
151a4d328b60
hexf1cb5dd6e

64906190190 has 160 divisors (see below), whose sum is σ = 178525607040. Its totient is φ = 16912820736.

The previous prime is 64906190159. The next prime is 64906190191. The reversal of 64906190190 is 9109160946.

64906190190 is a `hidden beast` number, since 6 + 490 + 61 + 90 + 19 + 0 = 666.

It is a super-2 number, since 2×649061901902 (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64906190191) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 36279816 + ... + 36281604.

It is an arithmetic number, because the mean of its divisors is an integer number (1115785044).

Almost surely, 264906190190 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64906190190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89262803520).

64906190190 is an abundant number, since it is smaller than the sum of its proper divisors (113619416850).

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

64906190190 is a wasteful number, since it uses less digits than its factorization.

64906190190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2808 (or 2799 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The spelling of 64906190190 in words is "sixty-four billion, nine hundred six million, one hundred ninety thousand, one hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 47 54 81 90 94 135 141 162 235 270 282 405 423 470 705 810 846 953 1269 1410 1789 1906 2115 2538 2859 3578 3807 4230 4765 5367 5718 6345 7614 8577 8945 9530 10734 12690 14295 16101 17154 17890 19035 25731 26835 28590 32202 38070 42885 44791 48303 51462 53670 77193 80505 84083 85770 89582 96606 128655 134373 144909 154386 161010 168166 223955 241515 252249 257310 268746 289818 385965 403119 420415 447910 483030 504498 671865 724545 756747 771930 806238 840830 1209357 1261245 1343730 1449090 1513494 1704917 2015595 2270241 2418714 2522490 3409834 3628071 3783735 4031190 4540482 5114751 6046785 6810723 7256142 7567470 8524585 10229502 11351205 12093570 13621446 15344253 17049170 18140355 22702410 25573755 30688506 34053615 36280710 46032759 51147510 68107230 76721265 80131099 92065518 138098277 153442530 160262198 230163795 240393297 276196554 400655495 460327590 480786594 690491385 721179891 801310990 1201966485 1380982770 1442359782 2163539673 2403932970 3605899455 4327079346 6490619019 7211798910 10817698365 12981238038 21635396730 32453095095 64906190190