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168106043328 = 2631783620519
BaseRepresentation
bin1001110010001111100…
…1101010011111000000
3121001220121011210222220
42130203321222133000
510223240121341303
6205120555531040
715100552535406
oct2344371523700
9531817153886
10168106043328
116532552a523
12286b6459a80
1312b1075b172
1481ca303476
15458d433053
hex2723e6a7c0

168106043328 has 112 divisors (see below), whose sum is σ = 476618929920. Its totient is φ = 52103655424.

The previous prime is 168106043327. The next prime is 168106043333. The reversal of 168106043328 is 823340601861.

168106043328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 168106043328.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168106043323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39348 + ... + 581171.

It is an arithmetic number, because the mean of its divisors is an integer number (4255526160).

Almost surely, 2168106043328 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 168106043328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238309464960).

168106043328 is an abundant number, since it is smaller than the sum of its proper divisors (308512886592).

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

168106043328 is a wasteful number, since it uses less digits than its factorization.

168106043328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620634 (or 620624 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The spelling of 168106043328 in words is "one hundred sixty-eight billion, one hundred six million, forty-three thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 83 96 102 136 166 192 204 249 272 332 408 498 544 664 816 996 1088 1328 1411 1632 1992 2656 2822 3264 3984 4233 5312 5644 7968 8466 11288 15936 16932 22576 33864 45152 67728 90304 135456 270912 620519 1241038 1861557 2482076 3723114 4964152 7446228 9928304 10548823 14892456 19856608 21097646 29784912 31646469 39713216 42195292 51503077 59569824 63292938 84390584 103006154 119139648 126585876 154509231 168781168 206012308 253171752 309018462 337562336 412024616 506343504 618036924 675124672 824049232 875552309 1012687008 1236073848 1648098464 1751104618 2025374016 2472147696 2626656927 3296196928 3502209236 4944295392 5253313854 7004418472 9888590784 10506627708 14008836944 21013255416 28017673888 42026510832 56035347776 84053021664 168106043328