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205304102912 = 21817232003
BaseRepresentation
bin1011111100110100010…
…1000000000000000000
3201121220222220000211102
42333031011000000000
511330430322243122
6234152043233532
720555425036616
oct2771505000000
9647828800742
10205304102912
117a0838a5227
1233957b188a8
131648b1841cc
149d187036b6
155518e4a492
hex2fcd140000

205304102912 has 152 divisors (see below), whose sum is σ = 453889935936. Its totient is φ = 92366962688.

The previous prime is 205304102909. The next prime is 205304102917. The reversal of 205304102912 is 219201403502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205304102917) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 102497303 + ... + 102499305.

Almost surely, 2205304102912 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205304102912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226944967968).

205304102912 is an abundant number, since it is smaller than the sum of its proper divisors (248585833024).

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

205304102912 is an frugal number, since it uses more digits than its factorization.

205304102912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2079 (or 2045 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The spelling of 205304102912 in words is "two hundred five billion, three hundred four million, one hundred two thousand, nine hundred twelve".

Divisors: 1 2 4 8 16 17 23 32 34 46 64 68 92 128 136 184 256 272 368 391 512 544 736 782 1024 1088 1472 1564 2003 2048 2176 2944 3128 4006 4096 4352 5888 6256 8012 8192 8704 11776 12512 16024 16384 17408 23552 25024 32048 32768 34051 34816 46069 47104 50048 64096 65536 68102 69632 92138 94208 100096 128192 131072 136204 139264 184276 188416 200192 256384 262144 272408 278528 368552 376832 400384 512768 544816 557056 737104 753664 783173 800768 1025536 1089632 1114112 1474208 1507328 1566346 1601536 2051072 2179264 2228224 2948416 3014656 3132692 3203072 4102144 4358528 4456448 5896832 6029312 6265384 6406144 8204288 8717056 11793664 12530768 12812288 16408576 17434112 23587328 25061536 25624576 32817152 34868224 47174656 50123072 51249152 65634304 69736448 94349312 100246144 102498304 131268608 139472896 188698624 200492288 262537216 278945792 377397248 400984576 525074432 557891584 754794496 801969152 1115783168 1509588992 1603938304 2231566336 3019177984 3207876608 4463132672 6038355968 6415753216 8926265344 12076711936 12831506432 25663012864 51326025728 102652051456 205304102912