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146928218000 = 2453311236219
BaseRepresentation
bin1000100011010110011…
…0101010111110010000
3112001020200100211010212
42020311212222332100
54401402110434000
6151255313343252
713421006150414
oct2106546527620
9461220324125
10146928218000
115734816a943
1224585b67b28
1310b17054285
14717b820d44
153c4e0abc35
hex22359aaf90

146928218000 has 80 divisors (see below), whose sum is σ = 356416295040. Its totient is φ = 58582064000.

The previous prime is 146928217981. The next prime is 146928218023. The reversal of 146928218000 is 812829641.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 503891 + ... + 740109.

It is an arithmetic number, because the mean of its divisors is an integer number (4455203688).

Almost surely, 2146928218000 is an apocalyptic number.

146928218000 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 146928218000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178208147520).

146928218000 is an abundant number, since it is smaller than the sum of its proper divisors (209488077040).

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

146928218000 is a wasteful number, since it uses less digits than its factorization.

146928218000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236553 (or 236537 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 41.

The spelling of 146928218000 in words is "one hundred forty-six billion, nine hundred twenty-eight million, two hundred eighteen thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 311 400 500 622 1000 1244 1555 2000 2488 3110 4976 6220 7775 12440 15550 24880 31100 38875 62200 77750 124400 155500 236219 311000 472438 622000 944876 1181095 1889752 2362190 3779504 4724380 5905475 9448760 11810950 18897520 23621900 29527375 47243800 59054750 73464109 94487600 118109500 146928218 236219000 293856436 367320545 472438000 587712872 734641090 1175425744 1469282180 1836602725 2938564360 3673205450 5877128720 7346410900 9183013625 14692821800 18366027250 29385643600 36732054500 73464109000 146928218000