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20402184168 = 23322941238321
BaseRepresentation
bin10011000000000100…
…001001111111101000
31221122212022100012200
4103000010021333220
5313240424343133
613212253340200
71321404463332
oct230004117750
957585270180
1020402184168
11871a556a33
123b54797660
131c01b02432
14db7898452
157e6211913
hex4c0109fe8

20402184168 has 96 divisors (see below), whose sum is σ = 58555715400. Its totient is φ = 6406041600.

The previous prime is 20402184167. The next prime is 20402184191. The reversal of 20402184168 is 86148120402.

20402184168 is a `hidden beast` number, since 20 + 4 + 0 + 218 + 416 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 16491182724 + 3911001444 = 128418^2 + 62538^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (20402184167) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33553 + ... + 204768.

Almost surely, 220402184168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20402184168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29277857700).

20402184168 is an abundant number, since it is smaller than the sum of its proper divisors (38153531232).

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

20402184168 is a wasteful number, since it uses less digits than its factorization.

20402184168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238403 (or 238396 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 20402184168 in words is "twenty billion, four hundred two million, one hundred eighty-four thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 41 58 72 82 87 116 123 164 174 232 246 261 328 348 369 492 522 696 738 984 1044 1189 1476 2088 2378 2952 3567 4756 7134 9512 10701 14268 21402 28536 42804 85608 238321 476642 714963 953284 1429926 1906568 2144889 2859852 4289778 5719704 6911309 8579556 9771161 13822618 17159112 19542322 20733927 27645236 29313483 39084644 41467854 55290472 58626966 62201781 78169288 82935708 87940449 117253932 124403562 165871416 175880898 234507864 248807124 283363669 351761796 497614248 566727338 703523592 850091007 1133454676 1700182014 2266909352 2550273021 3400364028 5100546042 6800728056 10201092084 20402184168