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103066440061560 = 23354351893849319
BaseRepresentation
bin10111011011110100000110…
…100011000101001001111000
3111111221001111102021122010120
4113123310012203011021320
5102002120032123432220
61003112022515213240
730465206315456613
oct2733640643051170
9444831442248116
10103066440061560
112a927260529538
12b686b722a7220
13456817b6c8c31
141b646299dd17a
15bdaedbd27a40
hex5dbd068c5278

103066440061560 has 128 divisors (see below), whose sum is σ = 316451057472000. Its totient is φ = 26840031837696.

The previous prime is 103066440061513. The next prime is 103066440061567. The reversal of 103066440061560 is 65160044660301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103066440061567) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 24850581 + ... + 28699899.

It is an arithmetic number, because the mean of its divisors is an integer number (2472273886500).

Almost surely, 2103066440061560 is an apocalyptic number.

103066440061560 is a gapful number since it is divisible by the number (10) 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 103066440061560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158225528736000).

103066440061560 is an abundant number, since it is smaller than the sum of its proper divisors (213384617410440).

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

103066440061560 is a wasteful number, since it uses less digits than its factorization.

103066440061560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3854565 (or 3854561 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The spelling of 103066440061560 in words is "one hundred three trillion, sixty-six billion, four hundred forty million, sixty-one thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 43 60 86 120 129 172 215 258 344 430 516 645 860 1032 1290 1720 2580 5160 5189 10378 15567 20756 25945 31134 41512 51890 62268 77835 103780 124536 155670 207560 223127 311340 446254 622680 669381 892508 1115635 1338762 1785016 2231270 2677524 3346905 3849319 4462540 5355048 6693810 7698638 8925080 11547957 13387620 15397276 19246595 23095914 26775240 30794552 38493190 46191828 57739785 76986380 92383656 115479570 153972760 165520717 230959140 331041434 461918280 496562151 662082868 827603585 993124302 1324165736 1655207170 1986248604 2482810755 3310414340 3972497208 4965621510 6620828680 9931243020 19862486040 19974116291 39948232582 59922348873 79896465164 99870581455 119844697746 159792930328 199741162910 239689395492 299611744365 399482325820 479378790984 599223488730 798964651640 858887000513 1198446977460 1717774001026 2396893954920 2576661001539 3435548002052 4294435002565 5153322003078 6871096004104 8588870005130 10306644006156 12883305007695 17177740010260 20613288012312 25766610015390 34355480020520 51533220030780 103066440061560