Search a number
-
+
162115830236400 = 243521329491016153
BaseRepresentation
bin100100110111000110001000…
…011110010100010011110000
3210021000010021221120120101120
4210313012020132110103300
5132222101210020031100
61332442552334102240
746101324254432205
oct4467061036242360
9707003257516346
10162115830236400
1147722a348aa067
121622317364a980
136c5c5c35c2901
142c0663b639cac
1513b20111ea0a0
hex9371887944f0

162115830236400 has 120 divisors (see below), whose sum is σ = 519315460009200. Its totient is φ = 43230520350720.

The previous prime is 162115830236341. The next prime is 162115830236401. The reversal of 162115830236400 is 4632038511261.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (162115830236401) 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, 159030724 + ... + 160046876.

It is an arithmetic number, because the mean of its divisors is an integer number (4327628833410).

Almost surely, 2162115830236400 is an apocalyptic number.

162115830236400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

162115830236400 is an abundant number, since it is smaller than the sum of its proper divisors (357199629772800).

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

162115830236400 is a wasteful number, since it uses less digits than its factorization.

162115830236400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1149123 (or 1149112 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

Adding to 162115830236400 its reverse (4632038511261), we get a palindrome (166747868747661).

The spelling of 162115830236400 in words is "one hundred sixty-two trillion, one hundred fifteen billion, eight hundred thirty million, two hundred thirty-six thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 132949 265898 398847 531796 664745 797694 1016153 1063592 1329490 1595388 1994235 2032306 2127184 2658980 3048459 3190776 3323725 3988470 4064612 5080765 5317960 6096918 6381552 6647450 7976940 8129224 9971175 10161530 10635920 12193836 13294900 15242295 15953880 16258448 19942350 20323060 24387672 25403825 26589800 30484590 31907760 39884700 40646120 48775344 50807650 53179600 60969180 76211475 79769400 81292240 101615300 121938360 152422950 159538800 203230600 243876720 304845900 406461200 609691800 1219383600 135096525197 270193050394 405289575591 540386100788 675482625985 810579151182 1080772201576 1350965251970 1621158302364 2026447877955 2161544403152 2701930503940 3242316604728 3377413129925 4052895755910 5403861007880 6484633209456 6754826259850 8105791511820 10132239389775 10807722015760 13509652519700 16211583023640 20264478779550 27019305039400 32423166047280 40528957559100 54038610078800 81057915118200 162115830236400