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146797042050 = 2325216319710159
BaseRepresentation
bin1000100010110111001…
…0010001100110000010
3112000220112112101120100
42020231302101212002
54401120020321200
6151234310023230
713414524161301
oct2105562214602
9460815471510
10146797042050
115729011546a
122454a047b16
1310ac5b16479
147168236438
153c427e9d00
hex222dc91982

146797042050 has 144 divisors (see below), whose sum is σ = 398867863680. Its totient is φ = 38704417920.

The previous prime is 146797042031. The next prime is 146797042121. The reversal of 146797042050 is 50240797641.

146797042050 is a `hidden beast` number, since 1 + 46 + 79 + 70 + 420 + 50 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 146797041987 and 146797042005.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14444871 + ... + 14455029.

It is an arithmetic number, because the mean of its divisors is an integer number (2769915720).

Almost surely, 2146797042050 is an apocalyptic number.

146797042050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 146797042050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199433931840).

146797042050 is an abundant number, since it is smaller than the sum of its proper divisors (252070821630).

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

146797042050 is a wasteful number, since it uses less digits than its factorization.

146797042050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10537 (or 10529 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 146797042050 in words is "one hundred forty-six billion, seven hundred ninety-seven million, forty-two thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 163 197 225 326 394 450 489 591 815 978 985 1182 1467 1630 1773 1970 2445 2934 2955 3546 4075 4890 4925 5910 7335 8150 8865 9850 10159 12225 14670 14775 17730 20318 24450 29550 30477 32111 36675 44325 50795 60954 64222 73350 88650 91431 96333 101590 152385 160555 182862 192666 253975 288999 304770 321110 457155 481665 507950 577998 761925 802775 914310 963330 1444995 1523850 1605550 1655917 2001323 2285775 2408325 2889990 3311834 4002646 4571550 4816650 4967751 6003969 7224975 8279585 9935502 10006615 12007938 14449950 14903253 16559170 18011907 20013230 24838755 29806506 30019845 36023814 41397925 49677510 50033075 60039690 74516265 82795850 90059535 100066150 124193775 149032530 150099225 180119070 248387550 300198450 326215649 372581325 450297675 652431298 745162650 900595350 978646947 1631078245 1957293894 2935940841 3262156490 4893234735 5871881682 8155391225 9786469470 14679704205 16310782450 24466173675 29359408410 48932347350 73398521025 146797042050