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203055082720 = 2557239765239
BaseRepresentation
bin1011110100011100000…
…1101010110011100000
3201102010020221222010021
42331013001222303200
511311324100121340
6233140543043224
720445615503500
oct2750701526340
9642106858107
10203055082720
117912a334056
123342a8a0514
13161c024b429
149b83b45a00
155436798e4a
hex2f4706ace0

203055082720 has 144 divisors (see below), whose sum is σ = 559453093920. Its totient is φ = 69442458624.

The previous prime is 203055082717. The next prime is 203055082721. The reversal of 203055082720 is 27280550302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203055082721) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3079861 + ... + 3145099.

It is an arithmetic number, because the mean of its divisors is an integer number (3885090930).

Almost surely, 2203055082720 is an apocalyptic number.

203055082720 is a gapful number since it is divisible by the number (20) 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 203055082720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279726546960).

203055082720 is an abundant number, since it is smaller than the sum of its proper divisors (356398011200).

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

203055082720 is a wasteful number, since it uses less digits than its factorization.

203055082720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65665 (or 65650 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 34.

The spelling of 203055082720 in words is "two hundred three billion, fifty-five million, eighty-two thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 70 80 98 112 140 160 196 224 245 280 392 397 490 560 784 794 980 1120 1568 1588 1960 1985 2779 3176 3920 3970 5558 6352 7840 7940 11116 12704 13895 15880 19453 22232 27790 31760 38906 44464 55580 63520 65239 77812 88928 97265 111160 130478 155624 194530 222320 260956 311248 326195 389060 444640 456673 521912 622496 652390 778120 913346 1043824 1304780 1556240 1826692 2087648 2283365 2609560 3112480 3196711 3653384 4566730 5219120 6393422 7306768 9133460 10438240 12786844 14613536 15983555 18266920 25573688 25899883 31967110 36533840 51147376 51799766 63934220 73067680 102294752 103599532 127868440 129499415 181299181 207199064 255736880 258998830 362598362 414398128 511473760 517997660 725196724 828796256 906495905 1035995320 1269094267 1450393448 1812991810 2071990640 2538188534 2900786896 3625983620 4143981280 5076377068 5801573792 6345471335 7251967240 10152754136 12690942670 14503934480 20305508272 25381885340 29007868960 40611016544 50763770680 101527541360 203055082720