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146642645000 = 2354103284743
BaseRepresentation
bin1000100010010010010…
…1010011000000001000
3112000111210000012122002
42020210211103000020
54400311004120000
6151211112450132
713410640626155
oct2104445230010
9460453005562
10146642645000
1157210a4a6a5
12245063a9948
1310a9cb38077
14715192522c
153c33e9c8d5
hex2224953008

146642645000 has 80 divisors (see below), whose sum is σ = 346920699840. Its totient is φ = 58087368000.

The previous prime is 146642644987. The next prime is 146642645021. The reversal of 146642645000 is 546246641.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 372629 + ... + 657371.

It is an arithmetic number, because the mean of its divisors is an integer number (4336508748).

Almost surely, 2146642645000 is an apocalyptic number.

146642645000 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 146642645000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173460349920).

146642645000 is an abundant number, since it is smaller than the sum of its proper divisors (200278054840).

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

146642645000 is a wasteful number, since it uses less digits than its factorization.

146642645000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284872 (or 284853 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 38.

The spelling of 146642645000 in words is "one hundred forty-six billion, six hundred forty-two million, six hundred forty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 103 125 200 206 250 412 500 515 625 824 1000 1030 1250 2060 2500 2575 4120 5000 5150 10300 12875 20600 25750 51500 64375 103000 128750 257500 284743 515000 569486 1138972 1423715 2277944 2847430 5694860 7118575 11389720 14237150 28474300 29328529 35592875 56948600 58657058 71185750 117314116 142371500 146642645 177964375 234628232 284743000 293285290 355928750 586570580 711857500 733213225 1173141160 1423715000 1466426450 2932852900 3666066125 5865705800 7332132250 14664264500 18330330625 29328529000 36660661250 73321322500 146642645000