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6103680863016 = 2331124314876609
BaseRepresentation
bin101100011010001111110…
…1110101100101100101000
3210121111200000101002221210
41120310133232230230220
51300000314300104031
620551554155433120
71166655621210552
oct130643756545450
923544600332853
106103680863016
111a436137a7400
12826b264557a0
13353761622799
141715c3a4c4d2
15a8b86408746
hex58d1fbacb28

6103680863016 has 96 divisors (see below), whose sum is σ = 16811430249600. Its totient is φ = 1845308467200.

The previous prime is 6103680862987. The next prime is 6103680863081.

6103680863016 is nontrivially palindromic in base 10.

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 23 ways as a sum of consecutive naturals, for example, 1186681 + ... + 3689928.

It is an arithmetic number, because the mean of its divisors is an integer number (175119065100).

Almost surely, 26103680863016 is an apocalyptic number.

6103680863016 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

6103680863016 is an abundant number, since it is smaller than the sum of its proper divisors (10707749386584).

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

6103680863016 is a wasteful number, since it uses less digits than its factorization.

6103680863016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4877071 (or 4877056 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 48.

It can be divided in two parts, 6103680 and 863016, that added together give a palindrome (6966696).

The spelling of 6103680863016 in words is "six trillion, one hundred three billion, six hundred eighty million, eight hundred sixty-three thousand, sixteen".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 121 132 242 264 363 431 484 726 862 968 1293 1452 1724 2586 2904 3448 4741 5172 9482 10344 14223 18964 28446 37928 52151 56892 104302 113784 156453 208604 312906 417208 625812 1251624 4876609 9753218 14629827 19506436 29259654 39012872 53642699 58519308 107285398 117038616 160928097 214570796 321856194 429141592 590069689 643712388 1180139378 1287424776 1770209067 2101818479 2360278756 3540418134 4203636958 4720557512 6305455437 7080836268 8407273916 12610910874 14161672536 16814547832 23120003269 25221821748 46240006538 50443643496 69360009807 92480013076 138720019614 184960026152 254320035959 277440039228 508640071918 554880078456 762960107877 1017280143836 1525920215754 2034560287672 3051840431508 6103680863016