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1713103640730 = 2335113159735159
BaseRepresentation
bin11000111011011100111…
…011110001100010011010
320001202211010201202001000
4120323130323301202122
5211031414013000410
63350553340205430
7234524206454526
oct30733473614232
96052733652030
101713103640730
11600583387839
12238016b39876
13c5711424141
145ccb3b74d86
152e865de3dc0
hex18edcef189a

1713103640730 has 128 divisors (see below), whose sum is σ = 4611720614400. Its totient is φ = 452488522752.

The previous prime is 1713103640687. The next prime is 1713103640761. The reversal of 1713103640730 is 370463013171.

1713103640730 is a `hidden beast` number, since 1 + 7 + 1 + 3 + 1 + 0 + 3 + 640 + 7 + 3 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48706891 + ... + 48742049.

It is an arithmetic number, because the mean of its divisors is an integer number (36029067300).

Almost surely, 21713103640730 is an apocalyptic number.

1713103640730 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 1713103640730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2305860307200).

1713103640730 is an abundant number, since it is smaller than the sum of its proper divisors (2898616973670).

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

1713103640730 is a wasteful number, since it uses less digits than its factorization.

1713103640730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36885 (or 36879 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The spelling of 1713103640730 in words is "one trillion, seven hundred thirteen billion, one hundred three million, six hundred forty thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 113 135 226 270 339 565 678 1017 1130 1597 1695 2034 3051 3194 3390 4791 5085 6102 7985 9582 10170 14373 15255 15970 23955 28746 30510 35159 43119 47910 70318 71865 86238 105477 143730 175795 180461 210954 215595 316431 351590 360922 431190 527385 541383 632862 902305 949293 1054770 1082766 1582155 1624149 1804610 1898586 2706915 3164310 3248298 3972967 4746465 4872447 5413830 7945934 8120745 9492930 9744894 11918901 16241490 19864835 23837802 24362235 35756703 39729670 48724470 56148923 59594505 71513406 107270109 112297846 119189010 168446769 178783515 214540218 280744615 336893538 357567030 505340307 536350545 561489230 842233845 1010680614 1072701090 1516020921 1684467690 2526701535 3032041842 5053403070 6344828299 7580104605 12689656598 15160209210 19034484897 31724141495 38068969794 57103454691 63448282990 95172424485 114206909382 171310364073 190344848970 285517273455 342620728146 571034546910 856551820365 1713103640730