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13270007790 = 23351335910531
BaseRepresentation
bin11000101101111010…
…00011111111101110
31021020210212020112000
430112331003333232
5204134110222130
610032434153130
7646562130234
oct142675037756
937223766460
1013270007790
11569a634296
1226a41227a6
1313362cb220
148dc572954
15529ed9260
hex316f43fee

13270007790 has 128 divisors (see below), whose sum is σ = 38218521600. Its totient is φ = 3257055360.

The previous prime is 13270007789. The next prime is 13270007791. The reversal of 13270007790 is 9770007231.

It is an interprime number because it is at equal distance from previous prime (13270007789) and next prime (13270007791).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13270007791) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1254825 + ... + 1265355.

It is an arithmetic number, because the mean of its divisors is an integer number (298582200).

Almost surely, 213270007790 is an apocalyptic number.

13270007790 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 13270007790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19109260800).

13270007790 is an abundant number, since it is smaller than the sum of its proper divisors (24948513810).

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

13270007790 is a wasteful number, since it uses less digits than its factorization.

13270007790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10919 (or 10913 counting only the distinct ones).

The product of its (nonzero) digits is 18522, while the sum is 36.

The spelling of 13270007790 in words is "thirteen billion, two hundred seventy million, seven thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 90 117 130 135 195 234 270 351 359 390 585 702 718 1077 1170 1755 1795 2154 3231 3510 3590 4667 5385 6462 9334 9693 10531 10770 14001 16155 19386 21062 23335 28002 31593 32310 42003 46670 48465 52655 63186 70005 84006 94779 96930 105310 126009 136903 140010 157965 189558 210015 252018 273806 284337 315930 410709 420030 473895 568674 630045 684515 821418 947790 1232127 1260090 1369030 1421685 2053545 2464254 2843370 3696381 3780629 4107090 6160635 7392762 7561258 11341887 12321270 18481905 18903145 22683774 34025661 36963810 37806290 49148177 56709435 68051322 98296354 102076983 113418870 147444531 170128305 204153966 245740885 294889062 340256610 442333593 491481770 510384915 737222655 884667186 1020769830 1327000779 1474445310 2211667965 2654001558 4423335930 6635003895 13270007790