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163142696600 = 235213243112249
BaseRepresentation
bin1001011111110000001…
…1111111111010011000
3120121002200202200021022
42113330003333322120
510133104012242400
6202540254102012
714533554016652
oct2277403777230
9517080680238
10163142696600
1163208887684
12277501aa908
13124cc393a00
147c790636d2
15439c81bb85
hex25fc0ffe98

163142696600 has 144 divisors (see below), whose sum is σ = 420284205000. Its totient is φ = 58835911680.

The previous prime is 163142696569. The next prime is 163142696603. The reversal of 163142696600 is 6696241361.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (163142696603) 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 35 ways as a sum of consecutive naturals, for example, 1397276 + ... + 1509524.

Almost surely, 2163142696600 is an apocalyptic number.

163142696600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 163142696600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210142102500).

163142696600 is an abundant number, since it is smaller than the sum of its proper divisors (257141508400).

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

163142696600 is a wasteful number, since it uses less digits than its factorization.

163142696600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112334 (or 112312 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 44.

The spelling of 163142696600 in words is "one hundred sixty-three billion, one hundred forty-two million, six hundred ninety-six thousand, six hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 43 50 52 65 86 100 104 130 169 172 200 215 260 325 338 344 430 520 559 650 676 845 860 1075 1118 1300 1352 1690 1720 2150 2236 2600 2795 3380 4225 4300 4472 5590 6760 7267 8450 8600 11180 13975 14534 16900 22360 27950 29068 33800 36335 55900 58136 72670 111800 112249 145340 181675 224498 290680 363350 448996 561245 726700 897992 1122490 1453400 1459237 2244980 2806225 2918474 4489960 4826707 5612450 5836948 7296185 9653414 11224900 11673896 14592370 18970081 19306828 22449800 24133535 29184740 36480925 37940162 38613656 48267070 58369480 62747191 72961850 75880324 94850405 96534140 120667675 125494382 145923700 151760648 189700810 193068280 241335350 250988764 291847400 313735955 379401620 474252025 482670700 501977528 627471910 758803240 815713483 948504050 965341400 1254943820 1568679775 1631426966 1897008100 2509887640 3137359550 3262853932 3794016200 4078567415 6274719100 6525707864 8157134830 12549438200 16314269660 20392837075 32628539320 40785674150 81571348300 163142696600