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146642918682 = 23132597433299
BaseRepresentation
bin1000100010010010011…
…0010101110100011010
3112000111210112010001110
42020210212111310122
54400311041344212
6151211122401150
713410643146111
oct2104446256432
9460453463043
10146642918682
1157211117287
12245065001b6
1310a9cc02800
147151996c78
153c34003a3c
hex2224995d1a

146642918682 has 96 divisors (see below), whose sum is σ = 323497152000. Its totient is φ = 44283011136.

The previous prime is 146642918659. The next prime is 146642918689. The reversal of 146642918682 is 286819246641.

It is not an unprimeable number, because it can be changed into a prime (146642918689) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44449069 + ... + 44452367.

It is an arithmetic number, because the mean of its divisors is an integer number (3369762000).

Almost surely, 2146642918682 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146642918682, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161748576000).

146642918682 is an abundant number, since it is smaller than the sum of its proper divisors (176854233318).

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

146642918682 is a wasteful number, since it uses less digits than its factorization.

146642918682 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4132 (or 4119 counting only the distinct ones).

The product of its digits is 7962624, while the sum is 57.

The spelling of 146642918682 in words is "one hundred forty-six billion, six hundred forty-two million, nine hundred eighteen thousand, six hundred eighty-two".

Divisors: 1 2 3 6 13 26 39 59 78 118 169 177 338 354 507 743 767 1014 1486 1534 2229 2301 3299 4458 4602 6598 9659 9897 9971 19318 19794 19942 28977 29913 42887 43837 57954 59826 85774 87674 125567 128661 131511 194641 251134 257322 263022 376701 389282 557531 569881 583923 753402 1115062 1139762 1167846 1672593 1709643 2451157 2530333 3345186 3419286 4902314 5060666 7353471 7408453 7590999 14706942 14816906 15181998 22225359 31865041 32894329 44450718 63730082 65788658 95595123 98682987 144618263 191190246 197365974 289236526 414245533 433854789 828491066 867709578 1242736599 1880037419 2485473198 3760074838 5640112257 11280224514 24440486447 48880972894 73321459341 146642918682