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146198805768 = 2335233269789
BaseRepresentation
bin1000100000101000100…
…0001011110100001000
3111222100211211211200000
42020022020023310020
54343403343241033
6151055055443000
713363641226221
oct2101210136410
9458324754600
10146198805768
1157003461714
1224401826460
1310a2bbb75c2
14710c9cc248
153c0a029a13
hex220a20bd08

146198805768 has 96 divisors (see below), whose sum is σ = 428473281600. Its totient is φ = 46614097728.

The previous prime is 146198805763. The next prime is 146198805787. The reversal of 146198805768 is 867508891641.

146198805768 is a `hidden beast` number, since 1 + 4 + 619 + 8 + 8 + 0 + 5 + 7 + 6 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (146198805763) 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, 1590183 + ... + 1679606.

It is an arithmetic number, because the mean of its divisors is an integer number (4463263350).

Almost surely, 2146198805768 is an apocalyptic number.

146198805768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

146198805768 is an abundant number, since it is smaller than the sum of its proper divisors (282274475832).

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

146198805768 is a wasteful number, since it uses less digits than its factorization.

146198805768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3269833 (or 3269817 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 63.

The spelling of 146198805768 in words is "one hundred forty-six billion, one hundred ninety-eight million, eight hundred five thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 81 92 108 138 162 184 207 216 243 276 324 414 486 552 621 648 828 972 1242 1656 1863 1944 2484 3726 4968 5589 7452 11178 14904 22356 44712 3269789 6539578 9809367 13079156 19618734 26158312 29428101 39237468 58856202 75205147 78474936 88284303 117712404 150410294 176568606 225615441 235424808 264852909 300820588 353137212 451230882 529705818 601641176 676846323 706274424 794558727 902461764 1059411636 1353692646 1589117454 1804923528 2030538969 2118823272 2707385292 3178234908 4061077938 5414770584 6091616907 6356469816 8122155876 12183233814 16244311752 18274850721 24366467628 36549701442 48732935256 73099402884 146198805768