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7138582200860 = 22511457658110789
BaseRepresentation
bin110011111100001010010…
…1010000000001000011100
3221021102221001211012100012
41213320110222000020130
51413424304020411420
623103230331022352
71334513502352265
oct147702452001034
927242831735305
107138582200860
112302501605a60
1297360889a9b8
133ca21c549406
141a971b43b96c
15c5a56c11dc5
hex67e14a8021c

7138582200860 has 96 divisors (see below), whose sum is σ = 16393637856960. Its totient is φ = 2589534259200.

The previous prime is 7138582200839. The next prime is 7138582200899. The reversal of 7138582200860 is 680022858317.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 7138582200799 and 7138582200808.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 661648346 + ... + 661659134.

It is an arithmetic number, because the mean of its divisors is an integer number (170767061010).

Almost surely, 27138582200860 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7138582200860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8196818928480).

7138582200860 is an abundant number, since it is smaller than the sum of its proper divisors (9255055656100).

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

7138582200860 is a wasteful number, since it uses less digits than its factorization.

7138582200860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17847 (or 17845 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 50.

The spelling of 7138582200860 in words is "seven trillion, one hundred thirty-eight billion, five hundred eighty-two million, two hundred thousand, eight hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 457 914 1828 2285 4570 5027 6581 9140 10054 10789 13162 20108 21578 25135 26324 32905 43156 50270 53945 65810 72391 100540 107890 118679 131620 144782 215780 237358 289564 361955 474716 593395 723910 1186790 1447820 2373580 3007517 4930573 6015034 9861146 12030068 15037585 19722292 24652865 30075170 33082687 49305730 54236303 60150340 66165374 71002409 98611460 108472606 132330748 142004818 165413435 216945212 271181515 284009636 330826870 355012045 542363030 661653740 710024090 781026499 1084726060 1420048180 1562052998 3124105996 3905132495 7810264990 15620529980 32448100913 64896201826 129792403652 162240504565 324481009130 356929110043 648962018260 713858220086 1427716440172 1784645550215 3569291100430 7138582200860