Search a number
-
+
20146287168 = 263371665533
BaseRepresentation
bin10010110000110011…
…111111001001000000
31221000000210102112000
4102300303333021000
5312224422142133
613131032504000
71312146421050
oct226063771100
957000712460
1020146287168
1185a9065807
123aa2b4b000
131b90aa68a7
14d918c5560
157cda15413
hex4b0cff240

20146287168 has 112 divisors (see below), whose sum is σ = 67687301760. Its totient is φ = 5756078592.

The previous prime is 20146287143. The next prime is 20146287193. The reversal of 20146287168 is 86178264102.

20146287168 is a `hidden beast` number, since 2 + 0 + 1 + 4 + 628 + 7 + 16 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (20146287143) and next prime (20146287193).

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 820671 + ... + 844862.

Almost surely, 220146287168 is an apocalyptic number.

20146287168 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

20146287168 is an abundant number, since it is smaller than the sum of its proper divisors (47541014592).

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

20146287168 is a wasteful number, since it uses less digits than its factorization.

20146287168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1665561 (or 1665545 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 20146287168 in words is "twenty billion, one hundred forty-six million, two hundred eighty-seven thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 144 168 189 192 216 224 252 288 336 378 432 448 504 576 672 756 864 1008 1344 1512 1728 2016 3024 4032 6048 12096 1665533 3331066 4996599 6662132 9993198 11658731 13324264 14989797 19986396 23317462 26648528 29979594 34976193 39972792 44969391 46634924 53297056 59959188 69952386 79945584 89938782 93269848 104928579 106594112 119918376 139904772 159891168 179877564 186539696 209857158 239836752 279809544 314785737 319782336 359755128 373079392 419714316 479673504 559619088 629571474 719510256 746158784 839428632 959347008 1119238176 1259142948 1439020512 1678857264 2238476352 2518285896 2878041024 3357714528 5036571792 6715429056 10073143584 20146287168