Search a number
-
+
146203763341965 = 35721941255348761
BaseRepresentation
bin100001001111100010110111…
…011000001111101010001101
3201011122221110122110100122120
4201033202313120033222031
5123130400301403420330
61234541025345403153
742536605356444600
oct4117426730175215
9634587418410576
10146203763341965
114264873897836a
12144933286394b9
136376c56960414
14281642ad0a337
1511d8166ec2c10
hex84f8b760fa8d

146203763341965 has 96 divisors (see below), whose sum is σ = 293426369389440. Its totient is φ = 61773972019200.

The previous prime is 146203763341963. The next prime is 146203763341967. The reversal of 146203763341965 is 569143367302641.

It is an interprime number because it is at equal distance from previous prime (146203763341963) and next prime (146203763341967).

It is not a de Polignac number, because 146203763341965 - 21 = 146203763341963 is a prime.

It is a super-2 number, since 2×1462037633419652 (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 146203763341899 and 146203763341908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146203763341963) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 127101816 + ... + 128246945.

It is an arithmetic number, because the mean of its divisors is an integer number (3056524681140).

Almost surely, 2146203763341965 is an apocalyptic number.

146203763341965 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

146203763341965 is an abundant number, since it is smaller than the sum of its proper divisors (147222606047475).

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

146203763341965 is a wasteful number, since it uses less digits than its factorization.

146203763341965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255348843 (or 255348836 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 60.

The spelling of 146203763341965 in words is "one hundred forty-six trillion, two hundred three billion, seven hundred sixty-three million, three hundred forty-one thousand, nine hundred sixty-five".

Divisors: 1 3 5 7 15 19 21 35 41 49 57 95 105 123 133 147 205 245 285 287 399 615 665 735 779 861 931 1435 1995 2009 2337 2793 3895 4305 4655 5453 6027 10045 11685 13965 16359 27265 30135 38171 81795 114513 190855 572565 255348761 766046283 1276743805 1787441327 3830231415 4851626459 5362323981 8937206635 10469299201 12512089289 14554879377 24258132295 26811619905 31407897603 33961385213 37536267867 52346496005 62560446445 72774396885 73285094407 101884155639 157039488015 169806926065 187681339335 198916684819 219855283221 237729696491 366425472035 509420778195 512995660849 596750054457 713189089473 994583424095 1099276416105 1188648482455 1392416793733 1538986982547 2564978304245 2983750272285 3565945447365 4177250381199 6962083968665 7694934912735 9746917556131 20886251905995 29240752668393 48734587780655 146203763341965